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 |
1. | \(5~ \text m\) | 2. | \(\frac{10}{3} \mathrm{~m}\) |
3. | \(\frac{20}{3} \mathrm{~m}\) | 4. | \(10~ \text m\) |
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 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 \(0.10\) kg-m2 and radius \(10\) cm. If the string is now pulled by a force \(10\) N, then the wheel starts to rotate about its axis from rest. The angular velocity of the wheel after \(2\) s is:
1. \(40\) rad/s
2. \(80\) rad/s
3. \(10\) rad/s
4. \(20\) rad/s