A body is in pure rotation. The linear speed \(v\) of a particle, the distance \(r\) of the particle from the axis and the angular velocity \(\omega\) of the body are related as \(w=\dfrac{v}{r}\). Thus:
1. \(w\propto\dfrac{1}{r}\)
2. \(w\propto\ r\)
3. \(w=0\)
4. \(w\) is independent of \(r\)
A body is rotating uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis is:
1. | vertical |
2. | horizontal and skew with the axis |
3. | horizontal and intersecting the axis |
4. | none of these |
A body is rotating nonuniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis is
1. vertical
2. horizontal and skew with the axis
3. horizontal and intersecting the axis
4. none of these
The axis of rotation of a purely rotating body:
a. | must pass through the centre of mass |
b. | may pass through the centre of mass |
c. | must pass through a particle of the body |
d. | may pass through a particle of the body |
Choose the correct option:
1. | (a) and (b) |
2. | (b) and (d) |
3. | (a) and (c) |
4. | (a), (b) and (d) |
A sphere is rotating about a diameter, then:
1. | the particles on the surface of the sphere do not have any linear acceleration. |
2. | the particles in the diameter mentioned above do not have any linear acceleration. |
3. | different particles on the surface have different angular speeds. |
4. | all the particles on the surface have the same linear speed. |