# Two bodies of mass, $$4~\text{kg}$$ and $$6~\text{kg}$$, 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. $$\frac{g}{2}$$ 2. $$\frac{g}{5}$$ 3. $$\frac{g}{10}$$ 4. $$g$$

Subtopic:  Application of Laws |
83%
From NCERT
NEET - 2020
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A point mass $$m$$ is moved in a vertical circle of radius $$r$$ with the help of a string. The velocity of the mass is $\sqrt{7\mathrm{gr}}$ at the lowest point. The tension in the string at the lowest point is:
1. $$6mg$$
2. $$7mg$$
3. $$8mg$$
4. $$mg$$

Subtopic:  Non Uniform Vertical Circular Motion |
62%
From NCERT
NEET - 2020
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Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction between the trolly and the surface is $$0.05$$.
$$g=10 \mathrm{~m} / \mathrm{s}^2$$, mass of the string is negligible and no other friction exists ).

1. $$1.25 \mathrm{~m} / \mathrm{s}^2$$
2. $$1.50 \mathrm{~m} / \mathrm{s}^2$$
3. $$1.66 \mathrm{~m} / \mathrm{s}^2$$
4. $$1.00 \mathrm{~m} / \mathrm{s}^2$$

Subtopic:  Friction |
65%
From NCERT
NEET - 2020
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A body of mass $$m$$ is kept on a rough horizontal surface (coefficient of friction =$$\mu)$$. A horizontal force is applied to the body, but it does not move. The resultant of normal reaction and the frictional force acting on the object is given by $$\vec F$$ where:
1. $$|{\vec F}| = mg+\mu mg$$
2. $$|\vec F| =\mu mg$$
3. $$|\vec F| \le mg\sqrt{1+\mu^2}$$
4. $$|\vec F| = mg$$

Subtopic:  Friction |
73%
From NCERT
NEET - 2019
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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 $$\text{sin}^{-1} \left( \frac{a}{g} \right )$$ 2 to the left and the angle of inclination of the pendulum with the vertical is $$\text{cos}^{-1} \left ( \frac{a}{g} \right )$$ 3 to the left and the angle of inclination of the pendulum with the vertical is $$\text{tan}^{-1} \left ( \frac{a}{g} \right )$$ 4 to the left and the angle of inclination of the pendulum with the vertical is $$\text{tan}^{-1} \left ( \frac{g}{a} \right )$$
Subtopic:  Application of Laws |
78%
From NCERT
NEET - 2019
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A car of mass $$m$$ is moving on a level circular track of radius $$R$$. If $$\mu_s$$ represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by:
1. $$\sqrt{\frac{Rg}{\mu_s} }$$
2. $$\sqrt{\frac{mRg}{\mu_s}}$$
3. $$\sqrt{\mu_s Rg}$$
4. $$\sqrt{\mu_s m Rg}$$

Subtopic:  Friction |
87%
From NCERT
AIPMT - 2012
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A conveyor belt is moving at a constant speed of 2 m/s. A box is gently dropped on it. The coefficient of friction between them is µ = 0.5. The distance that the box will move relative to the belt before coming to rest on it, taking g = 10 ms–2 is:

 1 0.4 m 2 1.2 m 3 0.6 m 4 Zero
Subtopic:  Friction |
65%
From NCERT
AIPMT - 2011
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A small mass attached to a string rotates on a frictionless table top as shown. If the tension in the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will:

1. decrease by a factor of 2
2. remain constant
3. increase by a factor of 2
4. increase by a factor of 4

Subtopic:  Non Uniform Vertical Circular Motion |
From NCERT
AIPMT - 2011
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Two masses as shown are suspended from a massless pulley. What would be the acceleration of the system when masses are left free?

1. $$2g/3$$
2. $$g/3$$
3. $$g/9$$
4. $$g/7$$
(where $$g$$ is the acceleration due to gravity.)

Subtopic:  Application of Laws |
93%
From NCERT
AIPMT - 2000
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A body of mass 3 kg hits a wall at an angle of 60º & returns at the same angle. The impact time was 0.2 s. Calculate the force exerted on the wall.

1. 150 $\sqrt{3}$ N

2. 50 $\sqrt{3}$ N

3. 100 N

4. 75 $\sqrt{3}$ N

Subtopic:  Application of Laws |
84%
From NCERT
AIPMT - 2000
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