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Questions and Answers
A disk and a sphere of the same mass and radius roll down an incline without slipping. Which one reaches the bottom first?
A disk and a sphere of the same mass and radius roll down an incline without slipping. Which one reaches the bottom first?
- Depends on mass
- Disk
- Sphere (correct)
- Both together
A rotating wheel is subjected to a torque that causes its angular velocity to increase from 5 rad/s to 25 rad/s in 5 sec. What is its angular acceleration?
A rotating wheel is subjected to a torque that causes its angular velocity to increase from 5 rad/s to 25 rad/s in 5 sec. What is its angular acceleration?
- 6 rad/s^2
- 5 rad/s^2
- 10 rad/s^2
- 4 rad/s^2 (correct)
A particle of mass 2 kg moves in a circular path of radius 3 m with an angular speed of 3 rad/s. What is its angular momentum?
A particle of mass 2 kg moves in a circular path of radius 3 m with an angular speed of 3 rad/s. What is its angular momentum?
- 96 kg·m^2/s
- 32 kg·m^2/s
- 48 kg·m^2/s (correct)
- 24 kg·m^2/s
A solid sphere is rotating about its diameter with an angular velocity of 10 rad/s. If its kinetic energy is 40 J, what is its moment of inertia?
A solid sphere is rotating about its diameter with an angular velocity of 10 rad/s. If its kinetic energy is 40 J, what is its moment of inertia?
A uniform rod of length L and mass M is rotating about one of its ends. What is its moment of inertia?
A uniform rod of length L and mass M is rotating about one of its ends. What is its moment of inertia?
Flashcards
Disk vs Sphere on Incline
Disk vs Sphere on Incline
Sphere reaches the bottom first.
Angular Acceleration
Angular Acceleration
It is 4 rad/s^2
Angular Momentum Value
Angular Momentum Value
It is 48 kg·m^2/s
Moment of Inertia Value
Moment of Inertia Value
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Moment of Inertia of Rod
Moment of Inertia of Rod
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Angular Acceleration Formula
Angular Acceleration Formula
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Moment of Inertia: Rod End
Moment of Inertia: Rod End
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Calculating Angular Momentum
Calculating Angular Momentum
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Rolling Down An Inclined Plane
Rolling Down An Inclined Plane
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Kinetic Energy and Rotational Inertia
Kinetic Energy and Rotational Inertia
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Study Notes
Rotational Motion MCQs
- For a disk and a sphere with the same mass and radius rolling down an incline without slipping, the sphere reaches the bottom first.
- A rotating wheel increases in angular velocity from 5 rad/s to 25 rad/s in 5 seconds, resulting in its angular acceleration being 4 rad/s².
- A 2 kg particle moving in a circular path of 3 m radius with an angular speed has an angular momentum of 48 kg·m²/s.
- A solid sphere rotating has a moment of inertia of 1 kg·m², given a kinetic energy of 40/90/140/190/240/290/340/390/440/490/540/590/640/690/740/790/840/890/940/990/1040/1090/1140/1190/1240/1290/1340/1390/1440/1490/1540/1590/1640/ 1690/1740/1790/1840/1890/1940/1990/2040/2090/2140/2190/2240/2290/2340/2390/2440/2490/2540/2590/2640/2690/2740/2790/2840/2890/2940/2990/3040/3090/3140/3190/3240/3290/3340/3390/3440/3490/3540/3590/3640/3690/3740/3790/3840/3890/3940/3990/4040/4090/4140/4190/4240/4290/4340/4390/4440/4490/4540/4590/4640/4690 J and angular velocity of 10 rad/s.
- A uniform rod with length L and mass M rotating about one end has a moment of inertia of (1/3)ML².
- For a mass of 2 kg, travelling in a circular path of 3m radius. An angular speed of 3/8/13/18/23/28/33/38/43/48/53/58/63/68/73/78/83/88/93/98/103/108/113/118/123/128/133/138/143/148/153/158/163/168/173/178/183/188/193/198/203/208/213/218/223/228/233/238/243/248/253/258/263/268/273/278/283/288/293/298/303/308/313/318/323/328/333/338/343/348/353/358/363/368/373/378/383/388/393/398/403/408/413/418/423/428/433/438/443/448/453/458/463/468/473/478/483/488/493/498 rad/s correlates to an angular momentum of 48 kg·m²/s.
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