Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 42

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Question 1
4 / -1

Identify the correct statement for the rotational motion of a rigid body

A
Individual particles of the body do not undergo accelerated motion

B
The centre of mass of the body remains unchanged

C
The centre of mass of the body moves uniformly in a circular path

D
Individual particles and centre of mass of the body undergo an accelerated motion
Question 2
4 / -1

Two point objects of masses 1.5 g and 2.5 g respectively are at a distance of 16 cm apart, the centre of gravity is at a distance x from the object of mass 1.5 g where x is

A
10 cm

B
6 cm

C
13 cm

D
3 cm

Solution
Question 3
4 / -1

A system consists of 3 particles each of mass m located at points ( 1, 1), (2, 2) and (3, 3). The co-ordinates of the centre of mass are

A
(6, 6)

B
(3, 3)

C
(1, 1)

D
(2, 2)

Solution
Question 4
4 / -1

Two particles of masses 1 kg and 2 kg are located at x₁ = 0, y₁ = 0 and x₂ = 1, y₂ = 0

A

B

C

D
Question 5
4 / -1

Three bricks each of length L, and mass M are arranged as shown from the wall. The distance of the centre of mass of the system from the wall is

A
L/4

B
L/2

C
(3.2)L

D
(11/12)L

Solution
Question 6
4 / -1

The angular velocity of a wheel increases from 100 rps to 300 rps in 10 seconds. The number of revolutions made during that time is

A
600

B
1500

C
2000

D
3000

Solution
Question 7
4 / -1

In a bicycle the radius of rear wheel is twice the radius of front wheel. If r_F and r_r are the radius, v_F and v_r are speeds of top most points of wheel, then

A
v_r = 2v_F

B
v_F = 2v_r

C
v_F = v_r

D
v_F > v_r
Question 8
4 / -1

The moment of inertia of a body about a given axis is 2.4 kg–m². To produce a rotational kinetic energy of 750 J, an angular acceleration of 5 rad/s² must be applied about that axis for

A
6 sec

B
5 sec

C
4 sec

D
3 sec

Solution
Question 9
4 / -1

If the earth shrinks such that its mass does not change but radius decreases to one quarter of its original value then one complete day will take

A
96 hr

B
48 hr

C
6 hr

D
1.5 hr

Solution
Question 10
4 / -1

A flywheel gains a speed of 540 r.p.m. in 6 sec. Its angular acceleration will be

A
3 π rad/sec²

B
9 π rad/sec²

C
18 π rad/sec²

D
54 π rad/sec²

Solution