What is the acceleration of block A, if the acceleration of B is 4 towards the right at the instant shown?
1. \(2.5~m/s^2\)
2. \(4~m/s^2\)
3. \(5~m/s^2\)
4. Zero
A 10 kg block is kept on a horizontal turntable that rotates at an angular velocity of 2 rad/s. If the distance of the block from the center of the table is 0.5 m, the net force on the block is:
1. 40 N
2. 20 N
3. 10 N
4. Zero
Two blocks of masses 2 kg and 3 kg placed on a horizontal surface are connected by a massless string. If 3 kg is pulled by 10 N as shown in the figure, then the force of friction acting on the 2 kg block will be: [Take g = 10 ]
1. | 6 N | 2. | 4 N |
3. | 8 N | 4. | 12 N |
Two plates of the same mass are attached rigidly to the two ends of a spring. One of the plates rests on a horizontal surface, and the other results in compression X of the spring when it is in steady-state. If an external force is applied to the upper plate to just lift off the lowest plate, what further compression in the spring is required?
1. | 0.5X | 2. | 3X |
3. | 2X | 4. | X |
Two masses, M and m, are connected by a weightless string. They are pulled by a force on a frictionless horizontal surface. The tension in the string will be:
1.
2. \(F \over {m +M}\)
3.
4. \(Fm \over {m + M}\)
If the system shown in the figure is in equilibrium, then the reading of spring balance (in kgf) is:
1. 10
2. 20
3. 100
4. Zero
An impulse of 6m is applied to a body of mass m moving with velocity \(\hat i+2\hat j\). The final velocity of the body will be:
1.
2.
3.
4.
A body is moving with a velocity of 2 m/s. If the force acting on the body is \((2\hat i+3\hat j+3\hat k)\) N, then the momentum of the body is changing in:
1. X-direction only
2. X-Y directions
3. Y-Z directions
4. In all X-Y-Z directions
A parachutist falls downward with an acceleration of \(2\) at a height of \(200\) m from the ground. Calculate the upthrust of air if the mass of the parachutist is \(60\) kg (assume g = 10 )
1. \(480\) N
2. \(620\) N
3. \(720\) N
4. \(600\) N
What is the minimum value of force F such that at least one block leaves the ground in the given figure? (g = 10 )
1. 20 N, 2 kg leaves the ground first
2. 30 N, 3 kg leaves the ground first
3. 40 N, 2 kg leaves the ground first
4. 50 N, 3 kg leaves the ground first