The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle \(\theta\) should be: 
     
1. \(0^\circ\)
2. \(30^\circ\)
3. \(45^\circ\)
4. \(60^\circ\)

Subtopic:  Tension & Normal Reaction |
 83%
From NCERT
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A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by:
                 

1. 2Mg

2. 2mg

3. (M+m)2+m2g

4.(M+m)2+M2g

Subtopic:  Tension & Normal Reaction |
 52%
From NCERT
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A pulley fixed to the ceilling carries a string with blocks of mass m and 3 m attached to its ends. The masses of string and pulley are negligible. When the system is released, its centre of mass moves with what acceleration 

(1) 0

(2) g/4

(3) g/2

(4) –g/2

Subtopic:  Application of Laws |
 52%
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A block B is placed on top of block A. The mass of block B is less than the mass of block A. Friction exists between the blocks, whereas the ground on which block A is placed is assumed to be smooth. A horizontal force F, increasing linearly with time begins to act on B. The acceleration aA and aB of blocks A and B respectively are plotted against t. The correctly plotted graph is:

1.              
2.
3.              
4.

Subtopic:  Friction |
From NCERT
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In the figure given below, the position-time graph of a particle of mass 0.1 Kg is shown. The impulse at t = 2 sec is 

(1) 0.2 kg m sec–1

(2) –0.2 kg m sec–1

(3) 0.1 kg m sec–1

(4) –0.4 kg m sec–1

Subtopic:  Newton's Laws |
From NCERT
AIIMS - 2005
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The force-time (Ft) curve of a particle executing linear motion is as shown in the figure. The momentum acquired by the particle in time interval from zero to 8 second will be 

(1) – 2 N-s

(2) + 4 N-s

(3) 6 N-s

(4) Zero

Subtopic:  Newton's Laws |
 79%
From NCERT
PMT - 1989
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A body of 2 kg has an initial speed 5ms–1. A force acts on it for some time in the direction of motion. The force time graph is shown in figure. The final speed of the body.

(1) 9.25 ms–1

(2) 5 ms–1

(3) 14.25 ms–1

(4) 4.25 ms–1

Subtopic:  Newton's Laws |
 71%
From NCERT
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A particle of mass m, initially at rest, is acted upon by a variable force F for a brief interval of time T. It begins to move with a velocity u after the force stops acting. F is shown in the graph as a function of time. The curve is an ellipse.

(1) u=πF022m

(2) u=πT28m

(3) u=πF0T4m

(4) u=F0T2m

Subtopic:  Newton's Laws |
 57%
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A body of mass 3kg is acted upon by a force which varies as shown in the graph below. The momentum acquired is given by

(1) Zero

(2) 5 N-s

(3) 30 N-s

(4) 50 N-s

Subtopic:  Newton's Laws |
 82%
From NCERT
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The variation of momentum with the time of one of the bodies in a two-body collision is shown in fig. The instantaneous force is the maximum corresponding to the point:
      
1. P

2. Q

3. R

4. S

Subtopic:  Newton's Laws |
 69%
From NCERT
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