A meter 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 the centre of mass of the scale is also zero.
3. the total force acting on it need not zero but the torque on it is zero.
4. neither the force nor the torque needs to be zero.

Subtopic:  Torque |
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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.


Choose the correct option.
1. (a, c, d)
2. (a, b, d)
3. (a, b, c, d)
4. (b, c, d)

Subtopic:  Torque |
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The figure shows a lamina in \(\text{XY}\)-plane. Two axes \(\text{z}\) and \(z'\) pass perpendicular to its plane. A force \(\vec{F}\) acts in the plane of the lamina at point P as shown. (The point \(\text{p}\) is closer to the \(z'\)-axis than the \(\text{z}\)-axis.)

   

(a) torque \(\vec{\tau}\) caused by \(\vec{F}\) about \(\text{z}\)-axis is along - \(\hat{k}\)
(b) torque \(\vec{\tau}'\) caused by \(\vec{F}\) about \(z'\)-axis is along - \(\hat{k}\)
(c) torque caused by \(\vec{F}\) about the \(\text{z}\)-axis is greater in magnitude than that about the z'-axis
(d) total torque is given by \(\vec{\tau}_{net}=\vec{\tau}+\vec{\tau}'\)


Choose the correct option:
1. (c, d)
2. (a, c)
3. (b, c)
4. (a, b)

Subtopic:  Torque |
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A uniform cube of mass \(m\) and side \(a\) is placed on a frictionless horizontal surface. A vertical force \(F\) is applied to the edge as shown in the figure. Match the following (most appropriate choice).

              

List- I List- II
(a) \(mg/4<F<mg/2\) (i) cube will move up.
(b) \(F>mg/2\) (ii) cube will not exhibit motion.
(c) \(F>mg\) (iii) cube will begin to rotate and slip at \(A\).
(d) \(F=mg/4\) (iv) normal reaction effectively at \(a/3\) from \(A\), no motion.
 
1. a - (i), b - (iv), c - (ii), d - (iii)
2. a - (ii), b - (iii), c - (i), d - (iv)
3. a - (iii), b - (i), c - (ii), d - (iv)
4. a - (i), b - (ii), c - (iv), d - (iii)
Subtopic:  Torque |
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