Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 52

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Question 1
4 / -1

A particle of mass m moves along line PC with velocity v as shown. What is the angular momentum of the particle about O?

A
mvL

B
mvl

C
mvr

D
Zero

Solution
Question 2
4 / -1

A thin and circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity ω. If another disc of same dimensions but of mass M/4 is placed gently on the first disc co–axially, then the new angular velocity of the system is

A

B

C

D

Solution
Question 3
4 / -1

The angular speed of a body changes from ω₁ to ω₂ without applying a torque but due to change in its moment of inertia. The ratio of radii of gyration in the two cases is

A

B

C

D

Solution
Question 4
4 / -1

Angular momentum of a system of particles changes when

A
Force acts on a body

B
Torque acts on a body

C
Direction of velocity changes

D
None of the above
Question 5
4 / -1

If a force acts on a body at a point away from the centre of mass, then

A
Linear acceleration changes

B
Angular acceleration changes

C
Both change

D
None of the above
Question 6
4 / -1

The rotational kinetic energy of a body is E and its moment of inertia is I. The angular momentum is

A
EI

B

C

D
E / I

Solution
Question 7
4 / -1

What remains constant in the field of central force?

A
Potential energy

B
Kinetic energy

C
Angular momentum

D
Linear momentum

Solution
Question 8
4 / -1

A cockroach is moving with velocity v in anticlockwise direction on the rim of a disc of radius R of mass m. The moment of inertia of the disc about the axis is I and it is rotating in clockwise direction with an angular velocity ω. If the cockroach stops, the angular velocity of the disc will be

A

B

C

D

Solution
Question 9
4 / -1

The principle of conservation of angular momentum, states that angular momentum

A
Always remains conserved

B
Is the product of moment of inertia and velocity

C
Remains conserved until the torque acting on it remains constant

D
None of the above
Question 10
4 / -1

A particle performs uniform circular motion with an angular momentum L. If the frequency of a particle\'s motion is doubled and its kinetic energy is halved, the angular momentum becomes

A
2 L

B
4 L

C
L/2

D
L/4

Solution