Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 55

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Question 1
4 / -1

The total kinetic energy of a body of mass 10 kg and radius 0.5 m moving with a velocity of 2 m/s without slipping is 32.8 J. The radius of gyration of the body is

A
0.25 m

B
0.2 m

C
0.5 m

D
0.4 m

Solution
Question 2
4 / -1

A ring of radius 0.5 m and mass 10 kg is rotating about its diameter with angular velocity of 20 rad/s. Its kinetic energy

A
10 J

B
100 J

C
500 J

D
250 J

Solution
Question 3
4 / -1

A sphere of mass 0.5 kg and diameter 1m rolls without sliding with a constant velocity of 5 m/s, calculate what is the ratio of the rotational K.E. to the total kinetic energy of the sphere

A

B

C

D

Solution
Question 4
4 / -1

The moment of inertia of two freely rotating bodies A and B are I_A and I_B respectively. I_A > I_B and their angular momentum are equal. If K_A and K_B are their kinetic energies, then

A
K_A = K_B

B
K_A > K_B

C
K_A < K_B

D
K_A = 2K_B

Solution
Question 5
4 / -1

. A thin hollow cylinder open at both ends
(i) Sliding without rolling
(ii) Rolls without slipping, with the same speed The ratio of kinetic energy in the two cases is

A
1 : 1

B
4 : 1

C
1 : 2

D
2 : 1

Solution
Question 6
4 / -1

A body of moment of inertia of 3 kg–m² rotating with an angular velocity of 2 rad/sec has the same kinetic energy as a mass of 12 kg moving with a velocity of

A
8 m/s

B
0.5 m/s

C
2 m/s

D
1 m/s

Solution
Question 7
4 / -1

If the angular momentum of a rotating body about a fixed axis is increased by 10%. Its kinetic energy will be increased by

A
10%

B
20%

C
21%

D
5%

Solution
Question 8
4 / -1

A body is rolling down an inclined plane. If K.E. of rotation is 40% of K.E. in translatory state, then the body is a

A
Ring

B
Cylinder

C
Hollow ball

D
Solid ball

Solution
Question 9
4 / -1

A flywheel is in the form of solid circular wheel of mass 72 kg and radius of 0.5 m and it takes 70 r.p.m., then the energy of revolution is

A
24 J

B
240 J

C
2.4 J

D
2400 J

Solution
Question 10
4 / -1

A body having moment of inertia about its axis of rotation equal to 3 kg–m² is rotating with angular velocity equal to 3 rad/s. Kinetic energy of this rotating body is the same as that of body of mass 27 kg moving with a speed of

A
1.0 m/s

B
0.5 m/s

C
1.5 m/s

D
2.0 m/s

Solution