Systems of Particles and Rotational Motion Test

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Systems of Particles and Rotational Motion Test - 88

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Question 1
4 / -1

A solid cylinder of mass M and R is mounted on a frictionless horizontal axle so that it can freely rotate about this axis. A string of negligible mass is wrapped round the cylinder and a body of mass m is hung from the string as shown in figure the mass is released from rest then___
The acceleration with which the mass falls is

A
g

B

C

D

Solution
Question 2
4 / -1

The angular speed of cylinder is proportional to hⁿ , where h is the height through which mass falls, Then the value of n is___

A
zero

B
1

C
1/2

D
2

Solution
Question 3
4 / -1

The moment of inertia of a uniform circular disc of mass M and radius R about any of its diameter is 1⁄4MR² , what is the moment of inertia of the disc about an axis passing through its centre and normal to the disc?

A

B

C

D

Solution
Question 4
4 / -1

A cylinder of mass m and radius r is rotating about its axis with constant speed v Its kinetic energy is _____

A

B

C

D

Solution
Question 5
4 / -1

A circular disc of mass m and radius r is rolling on a smooth horizontal surface with a constant speed v. Its kinetic energy is _____

A

B

C

D

Solution
Question 6
4 / -1

A solid sphere is rotating about a diameter at an angular velocity w. if it cools so that its radius reduces to 1/n of its original value. Its angular velocity becomes_____

A

B

C

D

Solution
Question 7
4 / -1

If the original rotational K.E. of the sphere is K, Its new value will be_____

A

B

C

D

Solution
Question 8
4 / -1

A solid sphere is rotating about a diameter due to increase in room temperature, its volume increases by 5%, If no external torque acts. The angular speed of the sphere will.

A
increase by nearly 1/3 %

B
decrease by nearly 1/3 %

C
increase by nearly 1⁄2 %

D
decrease nearly by 1⁄2 %

Solution
Question 9
4 / -1

A uniform rod of length L is suspended from one end such that it is free to rotate about an axis passing through that end and perpendicular to the length, what maximum speed must be imparted to the lower end so that the rod completes one full revolution?

A

B

C

D

Solution
Question 10
4 / -1

The height of a solid cylinder is four times that of its radius. It is kept vertically at time t=o on a belt which is moving in the horizontal direction with a velocity v = 2.45t² where v in m/s and t is in second. If the cylinder does not slip, it will topple over a time t = ____

A
1 second

B
2 sec

C
3 sec

D
4 sec

Solution