# <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> A metal sphere is suspended from a wall by a string. The forces acting on the sphere are shown in the figure. Which of the following statements is NOT correct?                                1.   2.   3.  T = N + W 4.  N = W tan $\mathrm{\theta }$

Subtopic:  Tension & Normal Reaction |
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Calculate the reading of the spring balance shown in figure:- (g = 10 m/s2)

1. 60 N

2. 40 N

3. 50 N

4. 80 N

Subtopic:  Spring Force |
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In the diagram, a 100 kg block is moving up with constant velocity. Find out the tension at point P.

1. 1330 N

2. 490 N

3. 1470 N

4. 980 N

Subtopic:  Tension & Normal Reaction |
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If a young man of mass 60 kg stands on the floor of a lift which is accelerating downwards at 1 $\mathrm{m}/{\mathrm{s}}^{2}$,then the reaction of the floor of the lift on the man will be: (g=9.8$\mathrm{m}/{\mathrm{s}}^{2}$)

1. 528 N

2. 540 N

3. 546 N

4. None of these

Subtopic:  Application of Laws |
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If $\mathrm{\mu }$ between block A and inclined plane is 0.5 and that between block B and the inclined plane is 0.8, then the normal reaction between blocks A and B will be:

1. 180 N

2. 216 N

3. 0

4. None of these

Subtopic:  Friction |
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A particle is on a smooth horizontal plane. A force F is applied, whose F-t graph is given.

Consider the following statements.
a. At time ${\mathrm{t}}_{1}$, acceleration is constant.
b. Initially the particle must be at rest.
c. At time ${\mathrm{t}}_{2}$, acceleration is constant.
d. The initial acceleration is zero.
Select the correct statement(s):
1. (a), (c)
2. (a), (b), (d)
3. (c), (d)
4. (b), (c)

Subtopic:  Newton's Laws |
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A coin placed on a rotating table just slips if it is placed at a distance 4r from the center. On doubling the angular velocity of the table, the coin will just slip when the distance from the centre is equal to:-

1. 4r

2. 2r

3. r

4. $\frac{\mathrm{r}}{4}$

Subtopic:  Uniform Circular Motion |
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A massless string of length 1 m fixed at one end carries a mass of 2 kg at the other end. The string makes $\frac{2}{\mathrm{\pi }}$ rev/s around the axis through the fixed end as shown in the figure. The tension on the string will be:

1. 32 N

2. 3 N

3. 16 N

4. 4 N

Subtopic:  Uniform Circular Motion |
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Three blocks A, B and C of mass 3M, 2M and M respectively are suspended vertically with the help of springs PQ and TU and a string RS as shown in fig. The acceleration of blocks A, B and C are  respectively.

The value of acceleration $$a_{1}$$ at the moment string RS is cut will be:

1. g downward

2. g upward

3. more than g downward

4. zero

Subtopic:  Spring Force |
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A 100 kg gun fires a ball of 1 kg horizontally from a cliff at a height of 500 m. It falls on the ground at a distance of 400 m from the bottom of the cliff. The recoil velocity of the gun is (g = 10 m/s)

1. 0.2 m/s

2. 0.4 m/s

3. 0.6 m/s

4. 0.8 m/s

Subtopic:  Newton's Laws |
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