Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 44

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Weekly Quiz Competition

Question 1
4 / -1

The moment of inertia of a metre scale of mass 0.6 kg about an axis perpendicular to the scale and located at the 20 cm position on the scale in kg–m² is (Breadth of the scale is negligible)

A
0.074

B
0.104

C
0.148

D
0.208

Solution
Question 2
4 / -1

Moment of inertia along the diameter of a ring is

A

B

C

D
Question 3
4 / -1

A sphere of mass 10 kg and radius 0.5m rotates about a tangent. The moment of inertia of the solid sphere is

A
5 kg–m²

B
2.7 kg–m²

C
3.5 kg–m²

D
4.5 kg–m²

Solution
Question 4
4 / -1

The moment of inertia of semicircular ring about an axis which is perpendicular to the plane of the ring and passes through the centre]

A

B

C

D
None of these
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
5 I

B
6 I

C
3 I

D
4 I

Solution
Question 6
4 / -1

Moment of inertia depends on

A
Distribution of particles

B
Mass

C
Position of axis of rotation

D
All of the above
Question 7
4 / -1

The moment of inertia of a straight thin rod of mass M and length l about an axis perpendicular to its length and passing through its one end, is

A
Ml² / 12

B
Ml² / 3

C
Ml² / 2

D
Ml²
Question 8
4 / -1

Analogue of mass in rotational motion is

A
Moment of inertia

B
Angular momentum

C
Torque

D
None of these
Question 9
4 / -1

From a disc of radius R, a concentric circular portion of radius r is cut out so as to leave an annular disc of mass M. The moment of inertia of this annular disc about the axis perpendicular to its plane and passing through its centre of gravity is

A
1/2M (R² + r²)

B
1/2M (R² – r²)

C
1/2M (R⁴ + r⁴)

D
1/2M (R⁴ – r⁴)
Question 10
4 / -1

From a uniform wire, two circular loops are made (i) P of radius r and (ii) Q of radius nr. If the moment of inertia of Q about an axis passing through its centre and perpendicular to its plane is 8 times that of P about a similar axis, the value of n is (diameter of the wire is very much smaller than r or nr)

A
8

B
6

C
4

D
2

Solution