Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 47

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Question 1
4 / -1

The moment of inertia of a uniform thin rod of length L and mass M about an axis passing through a point at a distance of L/3 from one of its ends and perpendicular to rod is

A

B

C

D

Solution
Question 2
4 / -1

The moment of inertia of a uniform circular ring, having a mass M and a radius R, about an axis tangential to the ring and perpendicular to its plane is

A

B

C

D
Question 3
4 / -1

The moment of inertia of a sphere of radius R and mass M about a tangent to the sphere is

A

B

C

D
Question 4
4 / -1

A 1 m long rod has a mass of 0.12 kg. What is the moment of inertia about an axis passing through the centre and perpendicular to the length of rod

A
0.01 kg–m²

B
0.001 kg–m²

C
1 kg–m²

D
10 kg–m²

Solution
Question 5
4 / -1

Two rings of the same radius and mass are placed such that their centres are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to the plane of one of the rings is (mass of the ring = m and radius = r)

A

B

C

D

Solution
Question 6
4 / -1

The moment of inertia of uniform rectangular plate about an axis passing through its centre and parallel to its length l is (b = breadth of rectangular plate)

A

B

C

D

Solution
Question 7
4 / -1

Two circular iron discs are of the same thickness. The diameter of A is twice that of B. The moment of inertia of A as compared to that of B is

A
Twice as large

B
Four times as large

C
8 times as large

D
16 times as large

Solution
Question 8
4 / -1

Two circular rings have their masses in the ratio of 1 : 2 and their diameters in the ratio of 2 : 1. The ratio of their moment of inertia is

A
1 : 4

B
2 : 1

C
4 : 1

D

Solution
Question 9
4 / -1

The moment of inertia of a circular ring about an axis passing through its centre and normal to its plane is 200 g × cm². Then its moment of inertia about a diameter is

A
400 g × cm²

B
300 g × cm²

C
200 g × cm²

D
100 g × cm²

Solution
Question 10
4 / -1

The moment of inertia about an axis of a body which is rotating with angular velocity 1 radian per second 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