Two masses M and M/2 are joint together by means of a light inextensible string passes over a frictionless pulley as shown in figure. When bigger mass is released the small one will ascend with an acceleration of 

(1) g/3

(2) 3g/2

(3) g/2

(4) g

Subtopic:  Application of Laws |
 80%
From NCERT
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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 |
From NCERT
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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 |
From NCERT
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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%
From NCERT
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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 |
 59%
From NCERT
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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 |
 65%
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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 \(\theta\) 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%
From NCERT
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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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