1. | \(1:\sqrt{2}\) | 2. | \(2:1\) |
3. | \(\sqrt{2}:1\) | 4. | \(4:1\) |
The ratio of the moments of inertia of two spheres, about their diameters, having the same mass and their radii being in the ratio of \(1:2\), is:
1. | \(2:1\) | 2. | \(4:1\) |
3. | \(1:2\) | 4. | \(1:4\) |
A string is wrapped along the rim of a wheel of the moment of inertia \(0.10~\text{kg-m}^2\) and radius \(10~\text{cm}.\) If the string is now pulled by a force of \(10~\text N,\) then the wheel starts to rotate about its axis from rest. The angular velocity of the wheel after \(2~\text s\) will be:
1. | \(40~\text{rad/s}\) | 2. | \(80~\text{rad/s}\) |
3. | \(10~\text{rad/s}\) | 4. | \(20~\text{rad/s}\) |
1. | \(0.7~\text{kg-m}^2\) | 2. | \(3.22~\text{kg-m}^2\) |
3. | \(30.8~\text{kg-m}^2\) | 4. | \(0.07~\text{kg-m}^2\) |
1. | \(3 \sqrt{2} v\) | 2. | \(v\) |
3. | \(\sqrt{2} v\) | 4. | \(2 \sqrt{2} v\) |
1. | along the axis of rotation |
2. | along the radius, away from centre |
3. | along the radius towards the centre |
4. | along the tangent to its position |