Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 24

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Question 1
4 / -1

Match list I with list II and select the correct answer.

A
A

B
B

C
C

D
D
Question 2
4 / -1

Statement – 1— A sphere and a cylinder slide without rolling from rest from the top of an inclined plane. They will reach the bottom with the same speed.
Statement – 2 — Bodies of all shapes, masses and sides slide down a plane with the same acceleration.

A
Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1

B
Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1

C
Statement – 1 is true, statement – 2 is false

D
Statement – 2 is false, statement – 2 is true
Question 3
4 / -1

Statement – 1— Friction is necessary for a body to roll on surface
Statement – 2— Friction provides the necessary tangential force and torque.

A
Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1

B
Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1

C
Statement – 1 is true, statement – 2 is false

D
Statement – 2 is false, statement – 2 is true
Question 4
4 / -1

Statement –1— A body tied to a string is moved in a circle with a uniform speed. If the string suddenly breaks the angular momentum of the body becomes zero.
Statement – 2 — The torque on the body equals to the rate of change of angular momentum.

A
Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1

B
Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1

C
Statement – 1 is true, statement – 2 is false

D
Statement – 2 is false, statement – 2 is true
Question 5
4 / -1

Moment of inertia of a uniform circular disc about a diameter is I. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be

A
5I

B
6I

C
3I

D
4I

Solution
Question 6
4 / -1

A wheel of mass 10 kg has a moment of inertia of 160 kg-m² about its own axis, the radius of gyration will be

A
10 m

B
8 m

C
6 m

D
4 m

Solution
Question 7
4 / -1

Moment of inertia of a thin circular disc of mass M and radius R about any diameter is

A

B

C
MR²

D
2MR²
Question 8
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 9
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
√2 : 1

Solution
Question 10
4 / -1

If the external torque acting on a system τ = 0, then

A
ω = 0

B
α = 0

C
J = 0

D
F = 0

Solution