When a body of mass 'm' just begins to slide as shown, match list-I with list-II:
List-I | List-II | ||
(a) | Normal reaction | (i) | P |
(b) | Frictional force (fs) | (ii) | Q |
(c) | Weight (mg) | (iii) | R |
(d) | mgsin\(\theta ~\) | (iv) | S |
(a) | (b) | (c) | (d) | |
1. | (ii) | (i) | (iii) | (iv) |
2. | (iv) | (ii) | (iii) | (i) |
3. | (iv) | (iii) | (ii) | (i) |
4. | (ii) | (iii) | (iv) | (i) |
A ball of mass 0.15 kg is dropped from a height 10 m, strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is nearly:
1. 2.1 kg m/s
2. 1.4 kg m/s
3. 0 kg m/s
4. 4.2 kg m/s
Two bodies of mass, 4 kg and 6 kg, are tied to the ends of a massless string. The string passes over a pulley, which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity (g) is:
1. g/2
2. g/5
3. g/10
4. g
A truck is stationary and has a bob suspended by a light string in a frame attached to the truck. The truck suddenly moves to the right with an acceleration of \(a.\) In the frame of the truck, the pendulum will tilt:
1. | to the left and the angle of inclination of the pendulum with the vertical is \(sin^{-1} \frac{a}{g}\) |
2. | to the left and the angle of inclination of the pendulum with the vertical is \(cos^{-1} \frac{a}{g}\) |
3. | to the left and the angle of inclination of the pendulum with the vertical is \(tan^{-1} \frac{a}{g}\) |
4. | to the left and the angle of inclination of the pendulum with the vertical is \(tan^{-1} \frac{g}{a}\) |