Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 68

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Weekly Quiz Competition

Question 1
4 / -1

A circular disc is to be made by using iron and aluminium, so that it acquires maximum moment of inertia about its geometrical axis. It is possible with

A
Iron and aluminium layers in alternate order

B
Aluminium at interior and iron surrounding it

C
Iron at interior and aluminium surrounding it

D
Either (1) or (3)
Question 2
4 / -1

The moment of inertia of a body does not depend upon

A
The angular velocity of the body

B
The mass of the body

C
The distribution of mass in the body

D
The axis of rotation of the body
Question 3
4 / -1

Four point masses, each of value m, are placed at the corners of a square ABCD of side l. The moment of inertia of this system about an axis passing through A and parallel to BD is

A
√3 ml²

B
3 ml²

C
ml²

D
2 ml²

Solution
Question 4
4 / -1

Four particles each of mass m are placed at the corners of a square of side length l. The radius of gyration of the system about an axis perpendicular to the square and passing through its centre is

A

B

C
l

D

Solution
Question 5
4 / -1

The radius of gyration of a disc of mass 50g and radius 2.5 cm, about an axis passing through its centre of gravity and perpendicular to the plane, is

A
0.52 cm

B
1.76 cm

C
3.54 cm

D
6.54 cm

Solution
Question 6
4 / -1

Moment of inertia of a disc about its own axis is I. Its moment of inertia about a tangential axis in its plane is

A

B
3I

C

D
2I

Solution
Question 7
4 / -1

Moment of inertia of a ring of mass m = 3 g and radius r = 1cm about an axis passing through its edge and parallel to its natural axis is

A
10 g-cm²

B
100 g-cm²

C
6 g-cm²

D
1 g-cm²

Solution
Question 8
4 / -1

A solid cylinder has mass M, length L and radius R. The moment of inertia of this cylinder about a generator is

A

B

C

D

Solution
Question 9
4 / -1

A spherical shell has mass M and radius R. Moment of inertia about its diameter will be

A

B

C

D
MR²
Question 10
4 / -1

The moment of inertia of a uniform circular disc of radius \'R\' and mass `M\' about an axis touching the disc at its diameter and normal to the disc is

A

B

C

D

Solution