# 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 tube of length L is filled completely with an incompressible liquid of mass M and closed at both ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by the liquid at the other end is:

1. $\frac{ML{\omega }^{2}}{2}$

2. $\frac{M{L}^{2}\omega }{2}$

3. $ML{\omega }^{2}$

4. $\frac{M{L}^{2}{\omega }^{2}}{2}$

Subtopic:  Uniform Circular Motion |
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A 0.5 kg ball moving with a speed of 12 m/s strikes a hard wall at an angle of ${30}^{\mathrm{o}}$ with the wall. It is reflected with the same speed and at the same angle. If the ball is in contact with the wall for 0.25 s, the average force acting on the wall is:

1. 48 N

2. 24 N

3. 12 N

4. 96 N

Subtopic:  Application of Laws |
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A block B is pushed momentarily along a horizontal surface with an initial velocity 'v'. If μ is the coefficient of sliding friction between B and the surface, the block B will come to rest after a time:

1. $\frac{v}{g\mu }$

2. $\frac{g\mu }{v}$

3. $\frac{g}{v}$

4. $\frac{v}{g}$

Subtopic:  Friction |
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Sand is being dropped on a conveyor belt at the rate of M kg/s. The force necessary to keep the belt moving with a constant velocity of v m/s will be:

1.  Mv Newton

2.  2Mv Newton

3.  $\frac{\mathrm{Mv}}{2}$ Newton

4.  zero

Subtopic:  Newton's Laws |
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A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top of the hill is between:

1.  14 m/s and 15 m/s

2.  15 m/s and 16 m/s

3.  16 m/s and 17 m/s

4.  13 m/s and 14 m/s

Subtopic:  Uniform Circular Motion |
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A body, under the action of a force $\stackrel{\to }{\mathrm{F}}=6\stackrel{^}{i}-8\stackrel{^}{j}+10\stackrel{^}{k}$, acquires an acceleration of 1 ms-2. The mass of this body must be:

1. 2 √10 kg

2. 10 kg

3. 20 kg

4. 10 √2 kg

Subtopic:  Newton's Laws |
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The mass of a lift is 2000 kg. When the tension in the supporting cable is 28000 N, then its acceleration is: (g=10 m/s2)
1. 30 ms-2 downwards
2. 4 ms-2 upwards
3. 4 ms-2 downwards
4. 14 ms-2 upwards
Subtopic:  Application of Laws |
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An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, the first part 1 kg moving with a velocity of 12 ${\mathrm{ms}}^{-1}$ and the second part 2 kg moving with a velocity of 8 ${\mathrm{ms}}^{-1}$. If the third part flies off with a velocity of 4 ${\mathrm{ms}}^{-1}$, its mass would be:

1. 5 kg
2. 7 kg
3. 17 kg
4. 3 kg

Subtopic:  Newton's Laws |
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