Two masses m1 and m2 (m1 > m2) are connected by massless flexible and inextensible string passed over massless and frictionless pulley. The acceleration of centre of mass is 

1.  m1m2m1+m22g

2. m1m2m1+m2g

3. m1+m2m1m2g

4. Zero

Subtopic:  Application of Laws |
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The mass of a body measured by a physical balance in a lift at rest is found to be m. If the lift is going up with an acceleration a, its mass will be measured as:

1. m1ag

2. m1+ag

3. m

4. Zero

Subtopic:  Pseudo Force |
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Three weights W, 2W and 3W are connected to identical springs suspended from a rigid horizontal rod. The assembly of the rod and the weights fall freely. The positions of the weights from the rod are such that 

1. 3W will be farthest

2. W will be farthest

3. All will be at the same distance

4. 2W will be farthest

Subtopic:  Spring Force |
 65%
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When forces F1, F2, F3 are acting on a particle of mass m such that F2 and F3 are mutually perpendicular, then the particle remains stationary. If the force F1 is now removed then the acceleration of the particle is 

1. F1/m

2. F2F3/mF1

3. (F2F3)/m

4. F2/m

Subtopic:  Application of Laws |
 60%
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A false balance has equal arms. An object weighs X when placed in one pan and Y when placed in other pan, then the weight W of the object is equal to 

1. XY

2. X+Y2

3. X2+Y22

4. 2X2+Y2 

Subtopic:  Application of Laws |
 66%
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The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle θ should be: 
 
1. 0
2. 30
3. 45
4. 60

Subtopic:  Tension & Normal Reaction |
 84%
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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. g(M+m)2+m2
4. g(M+m)2+M2

Subtopic:  Tension & Normal Reaction |
 54%
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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 |
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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 |
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AIIMS - 2005
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