Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 28

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Question 1
4 / -1

Four point masses P, Q, R and S with respective masses 1 kg, 1 kg, 2 kg and 2 kg from the corners of a square of side a. The centre of mass of the system will be farthest from

A
P only

B
R and S

C
R only

D
P and Q

Solution
Question 2
4 / -1

A particle moves along a circle of radius 20/π m with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begin, the tangential acceleration is

A
640 π m/s²

B
160 π m/s²

C
40 π m/s²

D
40 m/s²

Solution
Question 3
4 / -1

In rotational motion of a rigid body, all particles move with

A
Same linear and angular velocity

B
Same linear and different angular velocity

C
With different linear velocities and same angular velocities

D
With different linear velocities and different angular velocities

Solution
Question 4
4 / -1

A constant torque of 1000N-m turns a wheel of moment of inertia 200 kg-m² about an axis through its centre. Its angular velocity after 3 sec is

A
1 rad/sec

B
5 rad/sec

C
10 rad/sec

D
15 rad/sec

Solution
Question 5
4 / -1

A car is moving at a speed of 72 km/hr. The radius of its wheels is 0.25 m. If the wheels are stopped in 20 rotations by applying brakes, then angular retardation produced by the brakes is

A
–25.5 rad/s²

B
–29.5 rad/s²

C
–33.5 rad/s²

D
–45.5 rad/s²

Solution
Question 6
4 / -1

A wheel is rotating at 900 r.p.m. about its axis. When the power is cut-off, it comes to rest in 1 minute. The angular retardation in radian/s² is

A
π / 2

B
π / 4

C
π / 6

D
π / 8

Solution
Question 7
4 / -1

In which case application of angular velocity is useful

A
When a body is rotating

B
When velocity of body is in a straight line

C
When acceleration of body is in a straight line

D
None of the above
Question 8
4 / -1

A wheel rotates with a constant acceleration of 2.0 radian/sec². If the wheel starts from rest the number of revolutions it makes in the first ten seconds will be approximately

A
8

B
16

C
24

D
32

Solution
Question 9
4 / -1

A mass is revolving in a circle which is in the plane of paper. The direction of angular acceleration is

A
Upward the radius

B
Towards the radius

C
Tangential

D
At right angle to angular velocity
Question 10
4 / -1

The direction of the angular velocity vector is along

A
The tangent to the circular path

B
The inward radius

C
The outward radius

D
The axis of rotation