Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 9

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Weekly Quiz Competition

Question 1
4 / -1

Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is I. What is the moment of inertia about its diameter?

A

B

C

D

Solution
Question 2
4 / -1

Consider a uniform square plate of side a and mass m. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

A
5/6 ma²

B
1/12 ma²

C
7/12 ma²

D

Solution
Question 3
4 / -1

The moment of inertia of a thin circular disc about an axis passing through its centre and perpendicular to its plane is I. Then, the moment of inertia of the disc about an axis parallel to its diameter and touching the edge of the rim is

A
I

B
2I

C

D

Solution
Question 4
4 / -1

Two spheres of equal masses, one of which is a thin spherical shell and the other a solid, have the same moment of inertia about their respective diameters. The ratio of their radii will be

A
5 : 7

B
3 : 5

C
√3 : √5

D
√3 : √7

Solution
Question 5
4 / -1

A thin wire of mass M and length L is bent to form a circular ring. The moment of inertia of this ring about its axis is

A

B

C

D

Solution
Question 6
4 / -1

A cubical block of side L rests on a rough horizontal surface with coefficient of friction m . A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is

A
infinitesimal

B
mg/4

C
mg/2

D
mg(1- m)

Solution
Question 7
4 / -1

The moment of inertia of a circular ring of mass 1 kg about an axis passing through its centre and perpendicular to its plane is 4 kg–m² . The diameter of the ring is

A
2 m

B
4 m

C
5 m

D
6 m

Solution
Question 8
4 / -1

The moment of inertia about an axis of a body which is rotating with angular velocity 1 rad s ^-1 is numerically equal to

A
one–fourth of its rotational kinetic energy

B
half of the rotational kinetic energy

C
rotational kinetic energy

D
twice the rotational kinetic energy

Solution
Question 9
4 / -1

The moment of inertia of a circular disc of radius 2 m and mass 2 kg, about an axis passing through its centre of mass is 2kg – m². Its moment of inertia about an axis parallel to this axis and passing through its edge (in kg – m²) is

A
10

B
8

C
6

D
4

Solution
Question 10
4 / -1

Moment of inertia of ring about its diameter is I. Then, moment of inertia about an axis passing through centre perpendicular to its plane is

A

B

C

D

Solution