Home
Class 12
PHYSICS
Three objects,A:(a solid sphere), B: (a ...

Three objects,A:(a solid sphere), B: (a thin circular disk)and C: (a circular ring )., each have the same mass M and radius R. They all spin with the same angular speed `omega` about their own symmetry axes.The amounts of work (W) required to bring them to rest, would satisfy the relation

A

`W_(B) gt W_(A) gt W_(C)`

B

`W_(A) gt W_(B) gt W_(C)`

C

`W_(C) gt W_(B) gt W_(A)`

D

`W_(A) gt W_(C) gt W_(B)`

Text Solution

Verified by Experts

The correct Answer is:
C
Work done required to bring them rest
`Delta W=Delta KE`
`DeltaW=(1)/(2)Iomega^(2)`
`DeltaW prop I` for same `omega`
`W_(A) : W_(B) : W_(C) =(2)/(5)MR^(2) : (1)/(2)MR^(2) : MR^(2)`
`=(2)/(5): (1)/(2):1`
`=4:5:10`
`implies W_(C) gt W_(B) gt W_(A)`
Promotional Banner

Similar Questions

Explore conceptually related problems

There object, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R . They all spin with the same angular speed omega about their own symmetry axes. The amount of work (W) required ot bring them to rest, would satisfy the relation

A thin circular disk of radius R is uniformly charged with density sigma gt 0 per unit area.The disk rotates about its axis with a uniform angular speed omega .The magnetic moment of the disk is :

A thin circular ring of mass M and radius R is rotating about its axis with constant angular velocity omega . The objects each of mass m are attached gently to the ring. The wheel now rotates with an angular velocity.

A thin circular ring of mass M and radius R is rotating about its axis with an angular speed omega_(0) two particles each of mass m are now attached at diametrically opposite points. Find new angular speed of the ring.

A thin circular ring of mass M and radius r is rotating about its axis with an angular speed omega . Two particles having mass m each are now attached at diametrically opposite points. The angular speed of the ring will become

A thin circular ring of mass M and radius r is rotating about its axis with an angular speed omega . Two particles having mass m each are now attached at diametrically opposite points. The angular speed of the ring will become

A thin circular ring of mass M and radius R is rotating about its axis with a constant angular velocity omega. Four objects each of mass m, are kept gently to the opposite ends of two perpendicular diameters of the ring. The angular velocity of the ring will be

Torques of equal magnitude are applied to a thin hollow cylinder and a solid sphere, both having the same mass and radius. Both of them are free to rotate about their axis of symmetry. If alpha_(c) and alpha_(s) are the angular accelerations of the cylinder and the sphere respectively, then the ratio (alpha_(c))/(alpha_(s)) will be

Torques of equal magnitude are applied to hollow cylinder and a solid sphere, both having the same mass and same radius. The cylinder is free to rotate about its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. which of the two will acquire a greater angular speed after a given time ?

A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass M and radius 2R as shown. A small particle of mass m is released from rest from a height h(ltltR) above the shell. There is a hole in the shell. What speed will it collide at B?