Question
Question about Moment of inertia.
2 Rods ( AB and CD ) each of length 2 L and mass M are connected in such a way that points B and C connect at right angles to each other. The result is two rods connected at one end and at right angles to each other. The configuration is thus AB/CD where B/C is the right angled joint. Points A and D are the extremities of this right angled " L ". For an axis of rotation vertically upward through A , determine the moment of inertia of this structure.
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      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (380μs)
      • Illuminate\Cache\Events\CacheHit (424μs)
      • Illuminate\Cache\Events\CacheHit (507μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • creating: site.layouts.app (631μs)
      • composing: site.layouts.app (25μs)
      • creating: components.canonical (753μs)
      • composing: components.canonical (117μs)
      • creating: components.open-graph (537μs)
      • composing: components.open-graph (103μs)
      • creating: site.headers.header (352μs)
      • composing: site.headers.header (83μs)
      • Illuminate\Cache\Events\CacheHit (12.9ms)
      • creating: components.footer (90μs)
      • composing: components.footer (99μs)
      • Illuminate\Cache\Events\CacheHit (1.25ms)
      • Illuminate\Cache\Events\CacheMissed (544μs)
      • Illuminate\Database\Events\StatementPrepared (9.38ms)
      • Illuminate\Database\Events\QueryExecuted (1.69ms)
      • eloquent.retrieved: App\Models\SubjectCat (80μs)
      • Illuminate\Cache\Events\KeyWritten (1.61ms)
      • Illuminate\Cache\Events\CacheHit (407μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (6.61ms)
      • Illuminate\Cache\Events\CacheHit (2.09ms)
      • Illuminate\Cache\Events\CacheHit (1.15ms)
      • Illuminate\Cache\Events\CacheHit (1.39ms)
      • Illuminate\Cache\Events\CacheHit (434μs)
      • Illuminate\Cache\Events\CacheHit (485μs)
      • Illuminate\Cache\Events\CacheHit (501μs)
      • Illuminate\Cache\Events\CacheHit (396μs)
      • Illuminate\Cache\Events\CacheHit (444μs)
      • creating: components.forms.contact-us (997μs)
      • composing: components.forms.contact-us (477μs)
      • creating: components.forms.get-started (466μs)
      • composing: components.forms.get-started (149μs)
      • creating: components.forms.free-tool-download (179μs)
      • composing: components.forms.free-tool-download (187μs)
      • creating: components.forms.claim-free-worksheet (167μs)
      • composing: components.forms.claim-free-worksheet (76μs)
      • creating: components.forms.tutor-subscription-waitlist (146μs)
      • composing: components.forms.tutor-subscription-waitlist (71μs)
      • creating: components.forms.tutor-subscription-join (106μs)
      • composing: components.forms.tutor-subscription-join (65μs)
      • creating: components.forms.tutor-support (95μs)
      • composing: components.forms.tutor-support (609μs)
      • 312 x Illuminate\Cache\Events\CacheHit (17.92%)
        169ms
        19 x Illuminate\Database\Events\StatementPrepared (8.91%)
        83.98ms
        19 x Illuminate\Database\Events\QueryExecuted (4.19%)
        39.50ms
        10 x Illuminate\Cache\Events\KeyWritten (1.7%)
        16.05ms
        10 x Illuminate\Cache\Events\CacheMissed (1.31%)
        12.36ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (1.27%)
        12.00ms
        2 x eloquent.retrieved: App\Models\Subject (1.24%)
        11.71ms
        11 x eloquent.retrieved: App\Models\SubjectCat (0.17%)
        1.62ms
        1 x Illuminate\Routing\Events\Routing (0.16%)
        1.48ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.12%)
        1.13ms
        1 x creating: components.forms.contact-us (0.11%)
        997μs
        1 x creating: components.canonical (0.08%)
        753μs
        1 x creating: site.layouts.app (0.07%)
        631μs
        1 x composing: components.forms.tutor-support (0.06%)
        609μs
        1 x Illuminate\Routing\Events\RouteMatched (0.06%)
        568μs
        1 x creating: components.open-graph (0.06%)
        537μs
        1 x creating: components.breadcrumbs (0.06%)
        536μs
        1 x composing: components.forms.contact-us (0.05%)
        477μs
        1 x creating: components.forms.get-started (0.05%)
        466μs
        1 x eloquent.booting: App\Models\SubjectCat (0.04%)
        386μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)
        363μs
        1 x creating: homework.show (0.04%)
        355μs
        1 x creating: site.headers.header (0.04%)
        352μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)
        307μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)
        226μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)
        207μs
        1 x composing: components.forms.free-tool-download (0.02%)
        187μs
        1 x creating: components.forms.free-tool-download (0.02%)
        179μs
        1 x creating: components.forms.claim-free-worksheet (0.02%)
        167μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)
        150μs
        1 x composing: components.forms.get-started (0.02%)
        149μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.02%)
        146μs
        1 x composing: components.breadcrumbs (0.02%)
        143μs
        1 x eloquent.booting: App\Models\Subject (0.01%)
        135μs
        1 x composing: homework.show (0.01%)
        124μs
        1 x composing: components.canonical (0.01%)
        117μs
        1 x creating: components.forms.tutor-subscription-join (0.01%)
        106μs
        1 x composing: components.open-graph (0.01%)
        103μs
        1 x composing: components.footer (0.01%)
        99μs
        1 x creating: components.forms.tutor-support (0.01%)
        95μs
        1 x creating: components.footer (0.01%)
        90μs
        1 x composing: site.headers.header (0.01%)
        83μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        76μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        71μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        65μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        64μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        63μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        51μs
        1 x composing: site.layouts.app (0%)
        25μs
      14 templates were rendered
      • 1x homework.showshow.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.blade.phpblade
      • 1x site.layouts.appapp.blade.phpblade
      • 1x components.canonicalcanonical.blade.phpblade
      • 1x components.open-graphopen-graph.blade.phpblade
      • 1x site.headers.headerheader.blade.phpblade
      • 1x components.footerfooter.blade.phpblade
      • 1x components.forms.contact-uscontact-us.blade.phpblade
      • 1x components.forms.get-startedget-started.blade.phpblade
      • 1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
      • 1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
      • 1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
      • 1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
      • 1x components.forms.tutor-supporttutor-support.blade.phpblade
      uri
      GET college-homework-library/{category}/{subject}/{id}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\HomeworkLibraryController@show
      namespace
      where
      as
      homework.show
      file
      app/Http/Controllers/HomeworkLibraryController.php:79-176
      19 statements were executed, 4 of which were duplicates, 15 unique. Show only duplicated78.96ms
      • Connection Establishedtwenty4_siteHomeworkLibraryController.php#91
        Backtrace
        • 13. app/Http/Controllers/HomeworkLibraryController.php:91
        • 14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 15. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '32576' limit 1
        17.78mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 32576
        Backtrace
        • 16. app/Http/Controllers/HomeworkLibraryController.php:97
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subjects` where `subjects`.`id` in (401)
        1.17mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (32576)
        1.14mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1
        1.77mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 34
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `solutionslibrary` where `id` <> 32576 and `subject` = 401 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        4.12mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 32576
        • 1: 401
        • 2: published
        • 3: 0
        Backtrace
        • 14. app/Repositories/HomeworkLibraryRepository.php:30
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Repositories/HomeworkLibraryRepository.php:39
        • 19. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `subjects` where `subjects`.`id` in (401)
        3.21mstwenty4_siteHomeworkLibraryRepository.php#30
        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Repositories/HomeworkLibraryRepository.php:39
        • 24. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 32576 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        2.7mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 32576
        • 1: question
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 32576 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        4.7mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 32576
        • 1: teaser
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 32576 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        4.33mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 32576
        • 1: solution
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1
        1.36mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 34
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        990μstwenty4_siteSubject.php#100
        Bindings
        • 0: 1
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1
        2.04mstwenty4_siteSubject.php#100
        Bindings
        • 0: 3
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        1.2mstwenty4_siteSubject.php#100
        Bindings
        • 0: 4
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1
        4.55mstwenty4_siteSubject.php#100
        Bindings
        • 0: 10
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 33 limit 1
        1.25mstwenty4_siteSubject.php#100
        Bindings
        • 0: 33
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 11 limit 1
        1.4mstwenty4_siteSubject.php#100
        Bindings
        • 0: 11
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1
        12.07mstwenty4_siteSubject.php#100
        Bindings
        • 0: 5
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1
        6.08mstwenty4_siteSubject.php#100
        Bindings
        • 0: 31
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1
        7.1mstwenty4_siteSubject.php#100
        Bindings
        • 0: 36
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 28. view::components.footer:170
      App\Models\SubjectCat
      11SubjectCat.php
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      7HomeworkLibraryFile.php
      App\Models\Subject
      2Subject.php
          _token
          tIONK6MSy6grBRZSQ2VoNF2ahqhK7VQgnj19XKNn
          utm_source
          direct
          redirectUrl
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          status_code
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          status_text
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          format
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          content_type
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          request_request
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          request_headers
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          request_cookies
          []
          
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