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Q. No.A mass of \(6~\text{kg}\) is suspended by a rope of negligible mass and a length of \(2~\text{m}\) from the ceiling. A force of \(60~\text{N}\) in the horizontal direction is applied at the mid-point \(P\) of the rope (see figure). The angle the rope makes with the vertical in equilibrium is:
(take \(g=10~\text{ms}^{-2}\))
1. \(15^\circ\)
2. \(30^\circ\)
3. \(45^\circ\)
4. \(60^\circ\)
(take \(g=10~\text{ms}^{-2}\))
1. \(15^\circ\)
2. \(30^\circ\)
3. \(45^\circ\)
4. \(60^\circ\)
Subtopic: Tension & Normal Reaction |
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If the tension in the cable supporting an elevator is equal to the weight of the elevator, the elevator may be:
| (a) | going up with increasing speed |
| (b) | going down with increasing speed |
| (c) | going up with uniform speed |
| (d) | going down with uniform speed |
Choose the correct option:
1. (a) and (b)
2. (b) and (c)
3. (c) and (d)
4. all of the above
Subtopic: Tension & Normal Reaction |
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A block of mass \(m\) slides down a smooth plane inclined at an angle of \(60^\circ\) with the horizontal. The normal reaction of the incline acting on the block equals:
| 1. | \(mg\sin60^\circ\) | 2. | \(mg\cos60^\circ\) |
| 3. | \(mg\tan60^\circ\) | 4. | \(mg\cot60^\circ\) |
Subtopic: Tension & Normal Reaction |
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In the system shown in the accompanying figure, what is the tension \(T_2?\)
1. \(g\)
2. \(2g\)
3. \(5g\)
4. \(6g\)
1. \(g\)
2. \(2g\)
3. \(5g\)
4. \(6g\)
Subtopic: Tension & Normal Reaction |
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A mass \(M\) is suspended by a light string from a rigid support. A force \(F\) is acting on the string as shown in the figure and the string makes an angle \(\theta\) with the vertical.
Which of the following expressions is correct?
1. \(T\cos\theta =F\)
2. \(T\sin\theta =Mg \)
3. \(F=Mg\tan\theta \)
4. \(F=\tan\theta \)
Which of the following expressions is correct?
1. \(T\cos\theta =F\)
2. \(T\sin\theta =Mg \)
3. \(F=Mg\tan\theta \)
4. \(F=\tan\theta \)
Subtopic: Tension & Normal Reaction |
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A cylinder of weight \( W\) rests on two smooth inclined planes forming a symmetric \(\mathrm{V} \text-\)groove, as shown in the figure. Which of the following correctly represents the free-body diagram of the cylinder?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Tension & Normal Reaction |
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The tension at the mid-point \(\mathrm{P}\) of the rope is:
(consider the system is in equilibrium condition, mass of rope\(=4~\) kg and \(g=10\) m/s2.)
1. \(100\) N
2. \(120\) N
3. \(140\) N
4. \(190\) N
(consider the system is in equilibrium condition, mass of rope\(=4~\) kg and \(g=10\) m/s2.)
1. \(100\) N
2. \(120\) N
3. \(140\) N
4. \(190\) N
Subtopic: Tension & Normal Reaction |
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A batsman hits back a ball of mass \(0.4\text{ kg}\) straight in the direction of the bowler without changing its initial speed of \(15\text{ m/s}.\) The impulse imparted to the ball is:
1. \(10\text{ Ns}\)
2. \(11\text{ Ns}\)
3. \(12\text{ Ns}\)
4. \(13\text{ Ns}\)
1. \(10\text{ Ns}\)
2. \(11\text{ Ns}\)
3. \(12\text{ Ns}\)
4. \(13\text{ Ns}\)
Subtopic: Newton's Laws |
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A balloon has a mass of \(10\text{ g}\) in the air. The air escapes from the balloon at a uniform rate with a velocity of \(4.5\text{ cm/s}.\) If the balloon shrinks in \(5\text{ s}\) completely. Then, the average force acting on that balloon will be (in dyne).
1. \(3\)
2. \(9\)
3. \(12\)
4. \(18\)
1. \(3\)
2. \(9\)
3. \(12\)
4. \(18\)
Subtopic: Newton's Laws |
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A player caught a cricket ball of mass \(\mathrm{150 ~g}\) moving at a speed of \(20 \mathrm{~m} / \mathrm{s}.\) If the catching process is completed in \(\mathrm{0.1 ~s ,}\) the magnitude of force exerted by the ball on the hand of the player is:
1. \(\mathrm{150 ~N}\)
2. \(\mathrm{3 ~N}\)
3. \(\mathrm{30~N}\)
4. \(\mathrm{300~N}\)
1. \(\mathrm{150 ~N}\)
2. \(\mathrm{3 ~N}\)
3. \(\mathrm{30~N}\)
4. \(\mathrm{300~N}\)
Subtopic: Newton's Laws |
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