1. | \(3 \sqrt{2} v\) | 2. | \(v\) |
3. | \(\sqrt{2} v\) | 4. | \(2 \sqrt{2} v\) |
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 moment of inertia \(0.10\) kg-m2 and radius \(10\) cm. If the string is now pulled by a force of \(10\) N, then the wheel starts to rotate about its axis from rest. The angular velocity of the wheel after \(2\) s will be:
1. | \(40\) rad/s | 2. | \(80\) rad/s |
3. | \(10\) rad/s | 4. | \(20\) rad/s |
1. | \(0.7\) kg-m2 | 2. | \(3.22\) kg-m2 |
3. | \(30.8\) kg-m2 | 4. | \(0.07\) kg-m2 |
1. | \(5:2\) | 2. | \(3:5\) |
3. | \(5:3\) | 4. | \(2:5\) |
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 |