Q. No.A person standing on a spring balance inside a stationary lift measures \(60\) kg. The weight of that person if the lift descends with the uniform downward acceleration of \(1.8\) m/s2 will be: [g \( = 10 \) m/s2 ]
1. \(321\) N
2. \(214\) N
3. \(163\) N
4. \(492\) N
Subtopic: Â Tension & Normal Reaction |
 91%
Level 1: 80%+
JEE
Please attempt this question first.
Hints
Please attempt this question first.
A uniform light wire of length \(2l\) is connected at its ends to two pegs \(A\) & \(B\) which are at the same (horizontal) level. The separation between the pegs is also \(2l,\) so that the wire is just stretched (without any tension). A weight \(W\) is suspended from the mid-point \((O)\) of the wire; and the mid-point is "depressed" below its initial level by \(y.\) Each 'half-wire', consequently, is inclined by a small angle \(\theta\) with the horizontal. The cross-section of the wire is \(\alpha.\)
The tension in each 'half-wire' is, in terms of \(W,\theta,\):
1. \(\dfrac{W}{2\cos\theta}\)
2. \(\dfrac{W}{2\sin\theta}\)
3. \(\dfrac{W\sin\theta}{2}\)
4. \(\dfrac{W\cos\theta}{2}\)
The tension in each 'half-wire' is, in terms of \(W,\theta,\):
1. \(\dfrac{W}{2\cos\theta}\)
2. \(\dfrac{W}{2\sin\theta}\)
3. \(\dfrac{W\sin\theta}{2}\)
4. \(\dfrac{W\cos\theta}{2}\)
Subtopic: Â Tension & Normal Reaction |
 88%
Level 1: 80%+
Hints
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: Â Tension & Normal Reaction |
 85%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
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: Â Tension & Normal Reaction |
 85%
Level 1: 80%+
Hints
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: Â Tension & Normal Reaction |
 85%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
The \(3~\text{kg},2~\text{kg}\) blocks lie on a smooth horizontal plane. The blocks are connected by a light, horizontal string which passes around a smooth, light pulley \(P\) (see figure). The pulley is pulled forward by a horizontal force of \(12~\text N.\) The accelerations of the blocks are \(a_1,a_2\) and that of the pulley is \(a_{\Large_P}.\) The tension in the string is \(T.\) The values of the quantities (in SI) are shown in column II, in a different order. Match the quantities with their correct values.
| Column I | Column II | ||
| \(\mathrm{(A)}\) | \(a_1\) | \(\mathrm{(I)}\) | \(2.5\) |
| \(\mathrm{(B)}\) | \(a_2\) | \(\mathrm{(II)}\) | \(2\) |
| \(\mathrm{(C)}\) | \(a_{\Large_P}\) | \(\mathrm{(III)}\) | \(6\) |
| \(\mathrm{(D)}\) | \(T\) | \(\mathrm{(IV)}\) | \(3\) |
| 1. | \(\mathrm{A\text-IV,B\text-III,C\text-II,D\text-I}\) |
| 2. | \(\mathrm{A\text-II,B\text-III,C\text-I,D\text-IV}\) |
| 3. | \(\mathrm{A\text-II,B\text-IV,C\text-I,D\text-III}\) |
| 4. | \(\mathrm{A\text-IV,B\text-II,C\text-III,D\text-I}\) |
Subtopic: Â Tension & Normal Reaction |
 83%
Level 1: 80%+
Hints
In the system shown in the accompanying figure, what is the tension \(T_2?\)
| 1. | \(g\) | 2. | \(2g\) |
| 3. | \(5g\) | 4. | \(6g\) |
Subtopic: Â Tension & Normal Reaction |
 83%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
Two blocks \(A\) and \(B\) of masses \(3m\) and \(m\) respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of \(A\) and \(B\) immediately after the string is cut, are respectively:
1. \(\dfrac{g}{3},g\)
2. \(g,g\)
3. \(\dfrac{g}{3},\dfrac{g}{3}\)
4. \(g,\dfrac{g}{3}\)
Subtopic: Â Tension & Normal Reaction |
 83%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
A uniform light wire of length \(2l\) is connected at its ends to two pegs \(A\) & \(B\) which are at the same (horizontal) level. The separation between the pegs is also \(2l,\) so that the wire is just stretched (without any tension). A weight \(W\) is suspended from the mid-point \((O)\) of the wire; and the mid-point is "depressed" below its initial level by \(y.\) Each 'half-wire', consequently, is inclined by a small angle \(\theta\) with the horizontal. The cross-section of the wire is \(\alpha.\)
The tension in each 'half-wire' in terms of \(W,y\) & \(l,\) is:
The tension in each 'half-wire' in terms of \(W,y\) & \(l,\) is:
| 1. | \(\dfrac{Wy}{2l}\) | 2. | \(\dfrac{Wl}{2y}\) |
| 3. | \(\dfrac{Wy^2}{2l^2}\) | 4. | \(\dfrac{Wl^2}{2y^2}\) |
Subtopic: Â Tension & Normal Reaction |
 82%
Level 1: 80%+
Hints
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?
Which of the following expressions is correct?
| 1. | \(T\mathrm{cos}\theta =F\) | 2. | \(T\mathrm{sin}\theta =Mg \) |
| 3. | \(F=Mg~\mathrm{tan}\theta \) | 4. | \(F=\mathrm{tan}\theta \) |
Subtopic: Â Tension & Normal Reaction |
 81%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
© 2026 GoodEd Technologies Pvt. Ltd.