A mass M of 100 kg is suspended with the use of strings A, B and C as shown in the figure. The tension in the string B will be:
           
1. 100 g N 2. zero
3. \({100}\sqrt{2}\;{g}\;{N}\) 4. \(\frac{100}{\sqrt{2}}\;{g}\;{N}\)

Subtopic:  Tension & Normal Reaction |
 66%
From NCERT
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Two masses, A and B, each of mass M are fixed together by a massless spring. A force acts on the mass B as shown in the figure. If the mass B starts moving away from mass A with acceleration 'a' in the ground frame, then the acceleration of mass A will be:

1.  \(Ma-F \over M\) 2. \(MF \over F+Ma\)
3. \(F+Ma \over M\) 4. \(F-Ma \over M\)
Subtopic:  Spring Force |
 70%
From NCERT
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A 40 kg slab rests on a frictionless floor. A 10 kg block rests on top of the slab. The static coefficient of friction between the block and the slab is 0.60, while the kinetic coefficient of friction is 0.40. The 10 kg block is acted upon by a horizontal force of 100 N. If g=10 m/s2, the resulting acceleration of the slab will be:

        

1. 1.0 m/s2 2. 1.47 m/s2
3. 1.52 m/s2 4. 6.1 m/s2
Subtopic:  Friction |
From NCERT
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Sand is being dropped on a conveyor belt at a rate of M kg/s. The force necessary to keep the belt moving with at a constant velocity of v m/s will be:

1.  Mv newton

2.  2Mv newton

3.  Mv2 newton

4.  zero

Subtopic:  Newton's Laws |
 70%
From NCERT
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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 |
 73%
From NCERT
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Three blocks with masses of m, 2m, and 3m are connected by strings as shown in the figure. After an upward force, F, is applied on block m, the masses move upward at a constant speed, v. What is the net force on the block of mass 2m? (g is the acceleration due to gravity). 

 
1. 2mg 2. 3mg
3. 6mg 4. zero
Subtopic:  Tension & Normal Reaction |
 73%
From NCERT
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A monkey weighing 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25 kg. What is the maximum acceleration with which the monkey can climb up the rope? (g = 10 m/s2)

1. 5 m/s2

2. 10 m/s2

3. 25 m/s2

4. 2.5 m/s2

Subtopic:  Application of Laws |
 77%
From NCERT
AIPMT - 2003
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On the horizontal surface of a truck, a block of mass 1 kg is placed (µ = 0.6) and the truck is moving with an acceleration of 5 m/s2. The frictional force on the block will be:
1.  5 N
2.  6 N
3.  5.88 N
4.  8 N

Subtopic:  Friction |
 62%
From NCERT
AIPMT - 2001
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An object of mass 3 kg is at rest. Now if a force of \(\overset{\rightarrow}{F} = 6 t^{2} \hat{i} + 4 t \hat{j}\) is applied to the object, then the velocity of the object at t = 3 second will be :

1. \(18 \hat{i} + 3 \hat{j}\)

2. \(18 \hat{i} + 6 \hat{j}\)

3. \(3 \hat{i} + 18 \hat{j}\)

4. \(18 \hat{i} + 4 \hat{j}\)

Subtopic:  Newton's Laws |
 73%
From NCERT
AIPMT - 2002
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A rigid rod is placed against the wall as shown in the figure. When the velocity at its lower end is \(10\) ms-1 and its base makes an angle \(\alpha=60^\circ\) with horizontal, then the vertical velocity of its end \(\mathrm{B}\) (in ms-1) will be:
                  

1. \(10\sqrt{3}\) 2. \(\frac{10}{\sqrt{3}}\)
3. \(5\sqrt{3}\) 4. \(\frac{5}{\sqrt{3}}\)
Subtopic:  String Constraint |
 61%
From NCERT
AIPMT - 1998
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