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
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 |
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 |
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. \(v_B=\frac{2v_P}{\sqrt{3}}\)
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. 2 rad/s
2. rad/s
3. 5 rad/s
4. 10 rad/s
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
What is the acceleration of block A, if the acceleration of B is 4 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
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 ]
1. | 6 N | 2. | 4 N |
3. | 8 N | 4. | 12 N |
Fundamentally, the normal force between two surfaces in contact is:
1. Electromagnetic
2. Gravitational
3. Weak nuclear force
4. Strong nuclear force
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