Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 82

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Question 1
4 / -1

A

B

C

D

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

From a circular disc of radius R and mass 9 M, a small disc of radius R/3 is removed. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is

A

B

C

D

Solution
Question 4
4 / -1

A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. Which figure represents trace of its centre of mass ?

A

B

C

D
Question 5
4 / -1

Three identical spheres, each of mass 1 kg are kept as shown in the Fig, touching eachother, with their centres on a straight line. If their centres are marked P, Q, R respectively, the distance of centre of mass of the system from P is

A

B

C

D

Solution
Question 6
4 / -1

Four holes of radius R are cut from a thin square plate of side 4 R and mass M. The moment of inertia of the remaining portion about Z-axis is

A

B

C

D

Solution
Question 7
4 / -1

A disc of radius R rolls on a horizontal ground with linear acceleration a and angular acceleration α as shown in Fig., The magnitude of acceleration of point P at an instant, when its linear velocity is υ and angular velocity is ω will be

A

B

C

D

Solution
Question 8
4 / -1

Two thin discs each of mass M and radius r metre are attached as shown to form a rigid body. The rotational inertia of this body about an axis perpendicular to the plane of disc B and passing through its centre is

A
2 Mr²

B
3 Mr²

C
4 Mr²

D
5 Mr²

Solution
Question 9
4 / -1

The moment of inertia of a uniform rod of length 2 l and mass m about an axis xx passing through its centre and inclined at an angle α is

A

B

C

D

Solution
Question 10
4 / -1

A cube is placed on an inclined plane of inclination θ as shown in Fig. Coefficient of friction between the cube and the plane is μ. As angle θ is gradually increased, the cube slides before toppling if

A
μ > 1

B
μ > 1/2

C
μ < 1/2

D
μ < 1

Solution