Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 57

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Question 1
4 / -1

A solid sphere (mass 2 M) and a thin hollow spherical shell (mass M) both of the same size, roll down an indined plane, then

A
Solid sphere will reach the bottom first

B
Hollow spherical shell will reach the bottom first

C
Both will reach at the same time

D
None of the above

Solution
Question 2
4 / -1

A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)

A
Solid sphere

B
Hollow sphere

C
Ring

D
All same
Question 3
4 / -1

An inclined plane makes an angle of 30° with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to

A

B

C

D

Solution
Question 4
4 / -1

The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height h, from rest without sliding, is

A

B

C

D

Solution
Question 5
4 / -1

A solid cylinder 30 cm in diameter at the top of an inclined plane 2.0 m high is released and rolls down the incline without loss of energy due to friction. Its linear speed at the bottom is

A
5.29 m/sec

B
4.1 × 10³ m/sec

C
51 m/sec

D
51 cm/sec

Solution
Question 6
4 / -1

In the above question, find the angular speed at the bottom

A
68 rad/sec

B
8.5 rad/sec

C
17 rad/sec

D
34 rad/sec

Solution
Question 7
4 / -1

A ring solid sphere and a disc are rolling down from the top of the same height, then the sequence to reach on surface is

A
Ring, disc, sphere

B
Sphere, disc, ring

C
Disc, ring, sphere

D
Sphere, ring, disc

Solution
Question 8
4 / -1

A body of mass m slides down an incline and reaches the bottom with a velocity v. If the same mass were in the form of a ring which rolls down this incline, the velocity of the ring at bottom would have been

A

B

C

D

Solution
Question 9
4 / -1

A solid sphere, disc and solid cylinder all of the same mass and made up of same material are allowed to roll down (from rest) on inclined plane, then

A
Solid sphere reaches the bottom first

B
Solid sphere reaches the bottom late

C
Disc will reach the bottom first

D
All of them reach the bottom at the same time

Solution
Question 10
4 / -1

A circular disc rolls down an inclined plane. The ratio of rotational kinetic energy to total kinetic energy is

A

B

C

D

Solution