If the radius of the earth is suddenly contracted to half of its present value, then the duration of the day will be of:
1. | 6 hours | 2. | 12 hours |
3. | 18 hours | 4. | 24 hours |
A wheel has angular acceleration of 3.0 rad/ and an initial angular speed of 2.00 rad/sec. In a time of 2 sec it has rotated through an angle (in radian) of
1. 10
2. 12
3. 4
4. 6
If a force acts on a body at a point away from the centre of mass, then
1. Linear acceleration changes
2. Angular acceleration changes
3. Both change
4. None of these
1. | \(\dfrac{7}{3}~\text{m}\) | 2. | \(\dfrac{10}{7}~\text{m}\) |
3. | \(\dfrac{12}{7}~\text{m}\) | 4. | \(\dfrac{9}{7}~\text{m}\) |
A sphere can not roll on:
1. a smooth horizontal surface
2. a rough horizontal surface
3. a smooth inclined surface
4. a rough inclined surface
Two balls are thrown simultaneously in the air. The acceleration of the center of mass of the two balls while in air
1. depends on the direction of the motion of the balls
2. depends on the masses of the two balls
3. depends on the speeds of two balls
4. is equal to g
A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizotal and moment of inertia about it is I. A weight mg is attached to the end of the cord and falls from rest. After falling through a distance h, the angular velocity of the wheel will be
1.
2.
3.
4.
If a person standing on a rotating disc stretches out his hands, the angular speed will
1. increase
2. decrease
3. remain same
4. None of these
If the earth were to suddenly contract to th of its present size without any change in its mass, the duration of the new day will be nearly
1. 24/n hours
2. 24 n hours
3. 24/ hours
4. 24 hours
A sqaure lamina is as shown in figure. The moment of inertia of the frame about the three axes shown in figure are respectively. Select the correct alternative.
1.
2.
3.
4.