The figure shows a rod of length 5 m. Its ends, A and B, are restrained to moving in horizontal and vertical guides. When the end A is 3 m above O, it moves at 4 m/s. The velocity of end B at that instant is:
         

1. 2 m/s

2. 3 m/s

3. 4 m/s

4. 0.20 m/s

Subtopic:  String Constraint |
 67%
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In the given figure, spring balance is massless, so the reading of spring balance will be:
                     

1. 2 kg 2. 3.5 kg
3. 2.9 kg 4. 3.1 kg
Subtopic:  Application of Laws |
 72%
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The strings and pulleys shown in the figure are massless. The reading shown by the light spring balance S is:

        

1. 2.4 kg 2. 5 kg
3. 2.5 kg 4. 3 kg
Subtopic:  Application of Laws |
 58%
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What is the velocity of the block when the angle between the string and horizontal is \(30^\circ\) as shown in the diagram?

          
1. \(v_B=v_P\)
2. \(v_B=\frac{v_P}{\sqrt{3}}\)
3. \(v_B=2v_P\)
4. \(v_B=\frac{2v_P}{\sqrt{3}}\)

Subtopic:  String Constraint |
 74%
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A bucket full of water tied with the help of a 2 m long string performs a vertical circular motion. The minimum angular velocity of the bucket at the uppermost point so that water will not fall will be:

1. 25 rad/s

2. 5 rad/s

3. 5 rad/s

4. 10 rad/s

Subtopic:  Non Uniform Vertical Circular Motion |
 56%
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On the application of an impulsive force, a sphere of mass \(500\) g starts moving with an acceleration of \(10\) m/s2. The force acts on it for \(0.5\) s. The gain in the momentum of the sphere will be:

1. \(2.5\) kg-m/s

2. \(5\) kg-m/s

3. \(0.05\) kg-m/s

4. \(25\) kg-m/s

Subtopic:  Newton's Laws |
 81%
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What is the acceleration of block A, if the acceleration of B is 4 m/s2 towards the right at the instant shown?

                          
1. \(2.5~m/s^2\)
2. \(4~m/s^2\)
3. \(5~m/s^2\)
4. Zero

Subtopic:  Spring Force |
 73%
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Two blocks of masses 2 kg and 3 kg placed on a horizontal surface are connected by a massless string. If 3 kg is pulled by 10 N as shown in the figure, then the force of friction acting on the 2 kg block will be: [Take g = 10 m/s2]

    

1. 6 N 2. 4 N
3. 8 N 4. 12 N
Subtopic:  Friction |
 56%
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Fundamentally, the normal force between two surfaces in contact is:

1. Electromagnetic

2. Gravitational

3. Weak nuclear force

4. Strong nuclear force

Subtopic:  Types of Forces |
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A particle of mass m is suspended from a ceiling through a massless string. The particle moves in a horizontal circle as shown in the given figure. The tension in the string is:
 

1. mg

2. 2mg

3. 3mg

4. 4mg

Subtopic:  Uniform Circular Motion |
 81%
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