Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 56

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Weekly Quiz Competition

Question 1
4 / -1

A ring of radius r and mass m rotates about an axis passing through its centre and perpendicular to its plane with angular velocity ω. Its kinetic kinetic energy is

A

B

C

D

Solution
Question 2
4 / -1

A solid homogeneous sphere is moving on a rough horizontal surface partly rolling and partly sliding. During this kind of motion of the sphere

A
Total kinetic energy is conserved

B
The angular momentum of the sphere about the point of contact with the plane is conserved

C
Only the rotational kinetic energy about the centre of mass is conserved

D
Angular momentum about the centre of mass is conserved

Solution
Question 3
4 / -1

A spherical solid ball of 1 kg mass and radius 3 cm is rotating about an axis passing through its centre with an angular velocity of 50 rad/s. The kinetic energy is

A
4500 J

B
90 J

C
910 J

D

Solution
Question 4
4 / -1

A metre stick is held vertically with one end of the floor and is then allowed to fall. If the end touching the floor is not allowed to slip, the other end will hit the ground with a velocity of (g = 9.8 m/s²)

A
3.2 m/s

B
5.4 m/s

C
7.6 m/s

D
9.2 m/s

Solution
Question 5
4 / -1

Two bodies with moment of inertia I₁ and I₂ (such that I₁ > I₂) have equal angular velocity. If their kinetic energy of rotation are E₁ and E₂, then

A
E₁ ≥ E₂

B
E₁ > E₂

C
E₁ < E₂

D
E₁ = E₂

Solution
Question 6
4 / -1

A
1467 J

B
1452 J

C
1567 J

D
1632 J

Solution
Question 7
4 / -1

A circular disc of mass 0.41 kg and radius 10 m rolls without slipping with a velocity of 2 m/s. The total kinetic energy of disc is

A
0.41 J

B
1.23 J

C
0.82 J

D
2.4 J

Solution
Question 8
4 / -1

A metre stick of mass 400 g is pivoted at one end and displaced through an angle 60°. The increase in its potential energy is

A
2 J

B
3

C
0 J

D
1 J

Solution
Question 9
4 / -1

A flywheel rotating about a fixed axis has a kinetic energy of 360 joule when its angular speed is 30 rad/sec. The moment of inertia of the wheel about the axis of rotation is

A
0.6 kg × m²

B
0.15 kg × m²

C
0.8 kg × m²

D
0.75 kg × m²

Solution
Question 10
4 / -1

A sphere rolls down on an inclined plane of inclination θ. What is the acceleration as the sphere reaches bottom?

A

B

C

D

Solution