A ball is travelling with uniform translatory motion. This means that:

1. It is at rest.

2. The path can be a straight line or circular and the ball travels with uniform speed.

3. All parts of the ball have the same velocity (magnitude and direction) and the velocity is constant.

4. The centre of the ball moves with constant velocity and the ball spins about its centre uniformly.

A metre scale is moving with uniform velocity. This implies:

1. The force acting on the scale is zero, but a torque about the centre of mass can act on the scale.

2. The force acting on the scale is zero and the torque acting about centre of mass of the scale is also zero.

3. The total force acting on it need not be zero but the torque on it is zero.

4. Neither the force nor the torque need to be zero.

When a mass is rotating in a plane about a fixed point, its angular momentum is directed along

1. a line perpendicular to the plane of rotation.

2. the line making an angle of 45^o to the plane of rotation.

3. the radius.

4. the tangent to the orbit.

A pulley is hinged at the centre and a massless thread is wrapped around it. The thread is pulled with a constant force F starting from rest. As the time increases:

1. Its angular velocity increases, but force on hinge remains constant

2. Its angular velocity remains same, but force on hinge increases

3. Its angular velocity increases and force on hinge increases

4. Its angular velocity remains same and force on hinge is constant.

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

1. A pencil

2. A shotput

3. A dice

4. A bangle

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

1. A pencil             2. A shotput              3. A dice                4. A bangle

Which of the following points is the likely position of the center of mass of the system shown in the figure?

1. \(A\)
2. \(B\)
3. \(C\)
4. \(D\)

A particle of mass \(m\) is moving in \(yz\text-\)plane with a uniform velocity \(v\) with its trajectory running parallel to the \(+\text{ve}\) \(y\text{-}\)axis and intersecting \(z\text{-}\)axis at \(z=a\) in the figure. The change in its angular momentum about the origin as it bounces elastically from a wall at \(y\) = constant is:

         
1. \(mva~\hat e_{x}\)
2. \(2mva~\hat e_{x}\)
3. \(ymva~\hat e_{x}\)
4. \(2ymva~\hat e_{x}\)

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

A uniform square plate has a small piece \(Q\) of an irregular shape removed and glued to the center of the plate leaving a hole behind in the figure. The moment of inertia about the \(\mathrm{z}\)-axis is then,

1. increased
2. decreased
3. the same
4. changed in manner