Free Body Diagrams

Q.

Match the block diagrams of block of mass, m, with their corresponding free body diagram.

(Bodies are at rest with respect to ground)

1. P - (i); Q - (iii); R - (iv); S - (ii)

2. P - (ii); Q - (ii); R - (iv); S - (ii)

3. None of these

4. P - (i); Q - (iii); R - (iv); S - (iv)

Q. Which of these two cases is better for you, stuck between a lighter and heavier vehicle (Lesser Contact Force):
Case 1: Force on lighter vehicle
Case 2: Force on heavier vehicle

1. Case 1
2. Case 2

Q.

Two blocks are in contact on a frictionless table masses $2m$ and $m$ respectively as shown in figure. Force F is applied on mass $2m$ then system moves towards right. Now the same force F is applied on $m$. The ratio of force of contact between the two blocks will be in the two cases respectively.

1. 1 : 1

2. 1 : 4

3. 1 : 2

4. 1 : 3

Q.

Three blocks of masses 2 kg, 3 kg and 5 kg are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force F = 10 N, , then tension $T_1=$

1. 5N

2. 8N

3. 10N

4. 1N

Q.

Three masses of 15 kg. 10 kg and 5 kg are suspended vertically as shown in the fig. If the string attached to the support breaks and the system falls freely, what will be the tension in the string between 10 kg and 5 kg masses. Take $g=10m{s}^{-2}$ . It is assumed that the string remains tight during the motion

1. 300 N

2. Zero

3. 250 N

4. 50 N

Q.

Two blocks of mass 4 kg and 6 kg are placed in contact with each other on a frictionless horizontal surface. If we apply a push of 5 N on the heavier mass, the force on the lighter mass will be

1. 2 N

2. None of the above

3. 5 N

4. 4 N

Q. A motorcycle is going on an overbridge of radius R . The driver maintains a constant speed. As the motorcycle is ascending on the overbridge, the normal force on it

1. Increases
2. Decreases
3. Remains the same
4. Fluctuates

Q. An iron nail is dropped from a height h from the level of a sand bed. If it penetrates through a distance x in the sand before coming to rest, the average force exerted by the sand on the nail is,

1. 
2. 
3. 
4. 

Q. A rod $AB$ is shown in figure. End $A$ of the rod is fixed on the ground. Block is moving with velocity $\sqrt{3}\text{m/s}$ towards right. The velocity of end $B$ of rod when rod makes an angle of ${60}^{\circ }$ with the ground is

1. $\sqrt{3}\text{m/s}$
2. $2\text{m/s}$
3. $2\sqrt{3}\text{m/s}$
4. $3\text{m/s}$

Q. In the given figure, $m_1$ = $m_2$ = $m_3$ = 2 kg. Then, just after cutting string connecting $m_2$ and $m_3$

1. Acceleration of $m_2$ is g/2 upwards.
2. Acceleration of $m_1$ is zero.
3. Acceleration of $m_2$ is zero.
4. Acceleartion of $m_3$ is zero.