Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 89

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Weekly Quiz Competition

Question 1
4 / -1

The moment of inertia of a thin rod of mass M and length L about an axis passing through the point at a distance L/4 from one of its ends and perpendicular to the rod is _____

A

B

C

D

Solution
Question 2
4 / -1

A circular disc of radius R is free to oscillate about an axis passing through a point on its rim and perpendicular to its plane. The disc is turned through an angle of 60? and released. Its angular velocity when it reaches the equilibrium position will be__

A

B

C

D

Solution
Question 3
4 / -1

The moment of inertia of a hollow sphere of mass M and inner and outer radii R and 2R about the axis passing through its centre and perpendicular to its plane is

A

B

C

D

Solution
Question 4
4 / -1

What is the moment of inertia of a solid sphere of density and radius R about its diameter?

A

B

C

D

Solution
Question 5
4 / -1

A gramophone record of mass M and radius R is rotating at an angular velocity w. A win of mass M is gently placed on the record at a distance R/2. from its centre. The new angular velocity of the system is

A

B

C

D

Solution
Question 6
4 / -1

A cylinder of 500 g and radius 10 cm has moment of inertia (about its natural axis)

A
2.5 × 10^–3 kg-m²

B
2 × 10^–3 kg-m²

C
5 × 10^–3 kg-m²

D
3.5 × 10^–3 kg-m²

Solution
Question 7
4 / -1

Two spheres each of mass M and radius R/2 are connected with a massless rod of length 2R as shown in the figure. What will be the moment of inertia of the system about an axis passing through the centre of one of the spheres and perpendicular to the rod

A

B

C

D

Solution
Question 8
4 / -1

ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. I_AB, I_BC, I_CA are the moments of inertia of the plate about AB, BC, CA respectively. Which one of the following relations is correct?

A
I_CA is maximum

B
I_AB > I_BC

C
I_BC > I_AB

D
I_AB + I_BC = I_CA

Solution
Question 9
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 3 the rod is

A

B

C

D

Solution
Question 10
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
mr²

C

D
2 mr²

Solution