A block \(A\) of mass \(7\) kg is placed on a frictionless table. A thread tied to it passes over a frictionless pulley and carries a body \(B\) of mass \(3\) kg at the other end. The acceleration of the system will be: (given \(g=10~\text{m/s}^2)\)
1. | \(100\) ms–2 | 2. | \(3\) ms–2 |
3. | \(10\) ms–2 | 4. | \(30\) ms–2 |
A plank with a box on it at one end is gradually raised at the other end. As the angle of inclination with the horizontal reaches 30°, the box starts to slip and slides 4.0 m down the plank in 4.0 s. The coefficients of static and kinetic friction between the box and the plank, respectively, will be:
1. | 0.6 and 0.6 | 2. | 0.6 and 0.5 |
3. | 0.5 and 0.6 | 4. | 0.4 and 0.3 |
A man of mass \(60\) kg is standing on the ground and holding a string passing over a system of ideal pulleys. A mass of \(10\) kg is hanging over a light pulley such that the system is in equilibrium. The force exerted by the ground on the man is: (\(g=\) acceleration due to gravity)
1. \(20g\)
2. \(45g\)
3. \(40g\)
4. \(60g\)
A small coin is kept at a distance r from the centre of a gramophone disc rotating at an angular speed . The minimum coefficient of friction for which a coin will not slip is:
1.
2.
3.
4.
Two masses, M and m, are attached to a vertical axis by weightless threads of combined length l. They are set in rotational motion in a horizontal plane about this axis with constant angular velocity ω. If the tensions in the threads are the same during motion, the distance of M from the axis is:
1.
2.
3.
4.
A motorcycle is going on an overbridge of radius R. The driver maintains a constant speed. The normal force on the motorcycle as it ascends the overbridge will be:
1. increases.
2. decreases.
3. remains the same.
4. fluctuates erratically.
A block is placed on a rough horizontal plane. A time dependent horizontal force, \(F=kt,\) acts on the block. The acceleration time graph of the block is :
1. | 2. | ||
3. | 4. |
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
If the block is being pulled by the rope moving at speed \(v\) as shown, then the horizontal velocity of the block is:
1. \(v\)
2. \(v\cos\theta\)
3. \(\frac{v}{\cos\theta}\)
4. \(\frac{v}{\sin\theta}\)
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 |