In the shown system, each of the block is at rest. The value of θ is:
        
1. tan-11

2. tan-134

3. tan-143

4. tan-135

Subtopic:  Tension & Normal Reaction |
 69%
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At a given instant, A is moving with velocity of 5 m/s upwards. What is velocity of B at this time?

1. 15 m/s 

2. 15 m/s 

3. 5 m/s 

4. 5 m/s 

Subtopic:  String Constraint |
 68%
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The blocks A and B are shown in figure have masses 5 kg and 4 kg respectively. The system is released from rest. The speed of B after A has travelled a distance 1 m along the incline is (take g = 10 m/s2, pulleys and strings are ideal and plane is smooth)

 

1. 65 m/s

2.  32 m/s

3. 56 m/s

4. 23 m/s

Subtopic:  String Constraint |
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A block can slide on a smooth inclined plane of inclination θ kept on the floor of a lift. When the lift is descending with retardation a, the acceleration of the block relative to the incline is:

1.  (g + a) sin θ              
2.  (g – a)
3.  g sin θ
4.  (g – a) sin θ

Subtopic:  Pseudo Force |
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The tension in the spring is

1. Zero

2. 2.5 N

3. 5 N

4. 10 N

 

Subtopic:  Spring Force |
 56%
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Two blocks of 4 kg and 6 kg are attached by springs, they are hanging in vertical position, lower spring breaks due to excessive force. Acceleration of 4 kg block just after breaking

1. 15 m/s2

2. 25 m/s2

3. 10 m/s2

4. Zero

Subtopic:  Spring Force |
 52%
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In the system shown m1>m2. System is held at rest by thread BC. Just after lower thread is Burnt.

1. Acceleration of m2 is upward

2. Magnitude of acceleration of both blocks will be m1-m2m1+m2g

3. Acceleration of m1 will be non-zero

4. Magnitude of acceleration of two blocks will be non-zero and unequal.

Subtopic:  Spring Force |
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System shown in figure is in equilibrium and at rest. The spring and string are massless, now the stringis cut. The acceleration of mass 2m and m just after string is cut will be

                                             

1. g/2 upwards, g downwards

2. g upwards, g/2 downwards

3. g upwards, 2g downwards

4. 2g upwards, g downwards

Subtopic:  Spring Force |
 81%
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The pulleys and string shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle \(\theta\) should be:

      

1. 0°
2. 30°
3. 45°
4. 60°

Subtopic:  String Constraint |
 86%
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A pendulum of mass m hangs from a support fixed to a trolley. The direction of the string when the trolley rolls up a plane of inclination α with acceleration a0 is 

                                         

1. θ=tan-1 α

2. θ=tan-1 a0g

3. θ=tan-1 ga0

4. θ=tan-1 a0+g sin αg cos α

Subtopic:  Pseudo Force |
 56%
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