1. | \({\dfrac b 2}\) | 2. | \({ \dfrac b 4}\) |
3. | \({\dfrac b 8}\) | 4. | \(\dfrac b 3\) |
1. | \(\omega_0\) | 2. | \(2\omega_0\) |
3. | \(\dfrac32\omega_0\) | 4. | \(\dfrac52\omega_0\) |
1. | \(0.7\) kg-m2 | 2. | \(3.22\) kg-m2 |
3. | \(30.8\) kg-m2 | 4. | \(0.07\) kg-m2 |
A uniform rod of mass \(m\) and length \(L\) is struck at both ends by two particles of masses m, each moving with identical speeds \(u,\) but in opposite directions, perpendicular to its length. The particles stick to the rod after colliding with it. The system rotates with an angular speed:
1. | \(\dfrac{u}{L}\) | 2. | \(\dfrac{2u}{L}\) |
3. | \(\dfrac{12u}{7L}\) | 4. | \(\dfrac{6u}{L}\) |
If there is no external force acting on a non-rigid body which of the following quantities must remain constant?
a. | angular momentum |
b. | linear momentum |
c. | kinetic energy |
d. | moment of inertia |
1. | (a) and (b) |
2. | (b) and (c) |
3. | (c) and (d) |
4. | (a) and (d) |
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 \(r\)