Q. No.Fundamentally, the normal force between two surfaces in contact is:
1. Electromagnetic
2. Gravitational
3. Weak nuclear force
4. Strong nuclear force
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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. \(60^\circ\)
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A body of mass \(5\) kg is suspended by the strings making angles \(60^\circ\)
Then:
| (A) | \( {T}_1=25~ \text{N} \) |
| (B) | \( {T}_2=25 ~\text{N} \) |
| (C) | \({T}_1=25 \sqrt{3}~ \text{N} \) |
| (D) | \({T}_2=25 \sqrt{3}~ \text{N} \) |
| 1. | (A), (B), and (C) only |
| 2. | (A) and (B) only |
| 3. | (A) and (D) only |
| 4. | (A), (B), (C), (D) |
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| 1. |
\(\overrightarrow N+\overrightarrow T+\overrightarrow W=0\) |
2. | \(T^2=N^2+W^2\) |
| 3. | \(T = N + W\) | 4. | \(N = W \tan \theta\) |
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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. \(60g\)
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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. \(\sqrt{2} M g\)
2. \(\sqrt{2} m g\)
3. \(g\sqrt{\left( M + m \right)^{2} + m^{2}}\)
4. \(g\sqrt{\left(M + m \right)^{2} + M^{2}}\)
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Choose the incorrect alternative:
| 1. | Newton's first law is the law of inertia. |
| 2. | Newton's first law states that if the net force on a system is zero, the acceleration of any particle of the system is not zero. |
| 3. | Action and reaction act simultaneously. |
| 4. | The area under the force-time graph is equal to the change in momentum. |
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The force \(F\) acting on a particle of mass \(m\) is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from \(0\) to \(8\) s is:
1. \(24~\text{N-s}\)
2. \(20~\text{N-s}\)
3. \(12~\text{N-s}\)
4. \(6~\text{N-s}\)
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On the application of an impulsive force, a sphere of mass \(500\) grams 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
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A rigid ball of mass \(M\) strikes a rigid wall at \(60^{\circ}\) and gets reflected without loss of speed, as shown in the figure. The value of the impulse imparted by the wall on the ball will be:
| 1. | \(Mv\) | 2. | \(2Mv\) |
| 3. | \(\dfrac{Mv}{2}\) | 4. | \(\dfrac{Mv}{3}\) |
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