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

Subtopic:  Application of Laws |
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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

Subtopic:  Application of Laws |
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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. 1mg

Subtopic:  Non Uniform Vertical Circular Motion |
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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.

mass of the string is negligible and no other friction exists ).

1. 1.25

2. 1.50

3. 1.66

4. 1.00

Subtopic:  Friction |
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A block of mass 10 kg is in contact with the inner wall of a hollow cylindrical drum of radius 1 m. The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cylinder, which is vertical and rotating about its axis, will be:
(g=10 m/s2)

1.

2.

3.

4.

Subtopic:  Uniform Circular Motion |
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A particle moving with velocity $\stackrel{\to }{v}$ is acted by three forces shown by the vector triangle PQR. The velocity of the particle will:

1. change according to the smallest force $\stackrel{\to }{QR}$.

2. increase.

3. decrease.

4. remain constant.

Subtopic:  Newton's Laws |
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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 angle of inclination of the pendulum with the vertical is ${\mathrm{sin}}^{-1}\left(\frac{a}{g}\right)$

2. to the left and angle of inclination of the pendulum with the vertical is ${\mathrm{cos}}^{-1}\left(\frac{a}{g}\right)$

3. to the left and angle of inclination of the pendulum with the vertical is ${\mathrm{tan}}^{-1}\left(\frac{a}{g}\right)$

4. to the left and angle of inclination of the pendulum with the vertical is ${\mathrm{tan}}^{-1}\left(\frac{g}{a}\right)$

Subtopic:  Application of Laws |
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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 $\stackrel{\to }{F}$, where:

1. $|\stackrel{\to }{F}|=mg+\mu mg$

2. $|\stackrel{\to }{F}|=\mu mg$

3. $|\stackrel{\to }{F}|\le mg\sqrt{1+{\mu }^{2}}$

4. $|\stackrel{\to }{F}|=mg$

Subtopic:  Friction |
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Which one of the following statements is incorrect?

1. Rolling friction is smaller than sliding friction.

2. Limiting value of static friction is directly proportional to normal reaction.

3. Frictional force opposes the relative motion.

4. Coefficient of sliding friction has dimensions of length.

Subtopic:  Friction |
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A block of mass m is placed on a smooth inclined wedge ABC of inclination θ as shown in the figure. The wedge is given an acceleration 'a' towards the right. The relation between a and $\mathrm{\theta }$ for the block to remain stationary on the wedge is:

1. $a=\frac{g}{\mathrm{cos}ec\theta }$

2. $a=\frac{g}{\mathrm{sin}\theta }$

3.

4.

Subtopic:  Application of Laws |
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