System of Particles and Rotational Motion Test

Question 1
1 / -0

For which of the following does the centre of mass lie outside the body?

A
A pencil

B
A shot put

C
A dice

D
A bangle

Question 2
1 / -0

When a disc rotates with uniform angular velocity, which of the following is not true?

A
The sense of rotation remains same

B
The orientation of the axis of rotation remains same

C
The speed of rotation is non-zero and remains same

D
The angular acceleration is non-zero and remains same

Question 3
1 / -0

The density of a non- uniform rod of length 1 m is given by \(\rho (x)=a(1+bx^2)\) where a and b are constants and 0 \(\leq\) x \(\leq\) 1. The centre of mass of the rod will be at

A
\(3(2+b)\over 4(3+b)\)

B
\(4(2+b)\over 3(3+b)\)

C
\(3(3+b)\over 4(2+b)\)

D
\(4(3+b)\over 3(2+b)\)

Question 4
1 / -0

Choose the correct alternatives:

(a) For a general rotational motion, angular momentum L and angular velocity \(\omega\) need not be parallel.

(b) For a rotational motion about and fixed axis, angular momentum L angular velocity \(\omega\) are always parallel.

(c) For a general translational motion, momentum p and velocity \(\upsilon\) are always parallel.

(d) For a general translational motion, acceleration a and velocity \(\upsilon\) are always parallel.

A
b,c

B
a,b

C
a,c

D
a,d

Question 5
1 / -0

The net external torque on a system of particles about an axis is zero. Which of the following are compatible with it?

(a) The forces may be acting radially from a point on the axis.

(b) The forces may be acting on the axis of rotation.

(c) The forces may be acting parallel to the axis of rotation.

(d) The torque caused by some forces may be equal and opposite to that caused by other forces.

A
a,b,d

B
c,d,a

C
a,b,c

D
a,b,c,d

Question 6
1 / -0

Read each statement below carefully, and state, with reasons, if it is true or false;

(a) During rolling, the force of friction acts in the same direction as the direction of motion of the CM of the body.

(b) The instantaneous speed of the point of contact during rolling is zero.

(c) The instantaneous acceleration of the point of contact during rolling is zero.

(d) For perfect rolling motion, work done against friction is zero.

(e) A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling) motion.

A
b,d,e

B
a,b,c

C
b,c,d

D
c,d,e

Question 7
1 / -0

A Merry-go-round, made of a ring-like platform of radius R and mass M, is revolving with angular speed \(\omega\). A person of mass M is standing on it. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round). The speed of the round afterwards is

A
\(2\omega\)

B
\(\omega\)

C
\(\omega\over2\)

D
\(0\)

Submit Test

System of Parti...

Question 1

A pencil

A shot put

A dice

A bangle

Question 2

The sense of rotation remains same

The orientation of the axis of rotation remains same

The speed of rotation is non-zero and remains same

The angular acceleration is non-zero and remains same

Question 3

\(3(2+b)\over 4(3+b)\)

\(4(2+b)\over 3(3+b)\)

\(3(3+b)\over 4(2+b)\)

\(4(3+b)\over 3(2+b)\)

Question 4

b,c

a,b

a,c

a,d

Question 5

a,b,d

c,d,a

a,b,c

a,b,c,d

Question 6

b,d,e

a,b,c

b,c,d

c,d,e

Question 7

\(2\omega\)

\(\omega\)

\(\omega\over2\)

\(0\)

User

Question Analysis

System of Parti...

Question 1

A pencil

A shot put

A dice

A bangle

Question 2

The sense of rotation remains same

The orientation of the axis of rotation remains same

The speed of rotation is non-zero and remains same

The angular acceleration is non-zero and remains same

Question 3

\(3(2+b)\over 4(3+b)\)

\(4(2+b)\over 3(3+b)\)

\(3(3+b)\over 4(2+b)\)

\(4(3+b)\over 3(2+b)\)

Question 4

b,c

a,b

a,c

a,d

Question 5

a,b,d

c,d,a

a,b,c

a,b,c,d

Question 6

b,d,e

a,b,c

b,c,d

c,d,e

Question 7

\(2\omega\)

\(\omega\)

\(\omega\over2\)

\(0\)

User

Question Analysis

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