Q. No.A lift of mass \(1600~\text{kg}\) is supported by thick iron wire. If the maximum stress which the wire can withstand is \(4 \times 10^{8}~\text{N/m}^2\) and its radius is \(4~\text{mm}\), then maximum acceleration the lift can take is: (in \(\text{m/s}^2\))
(take \(g = 10~\text{m/s}^{2} \) and \(\pi =3.14\))
1. \(2.56\)
2. \(3.89\)
3. \(4.32\)
4. \(5.16\)
(take \(g = 10~\text{m/s}^{2} \) and \(\pi =3.14\))
1. \(2.56\)
2. \(3.89\)
3. \(4.32\)
4. \(5.16\)
Subtopic: Tension & Normal Reaction |
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Three masses \( m_1 = 4~\text{kg}, m_2 = 4~\text{kg}\) and \(m_3 = 6~\text{kg}\) are suspended from a fixed smooth frictionless pully as shown in the figure below. The value of \(\dfrac{T_1}{T_2} \) is:
(take \(g= 10 ~\text {m/s}^2\))
1. \(\dfrac{5}{3} \)
2. \(\dfrac{2}{3} \)
3. \(\dfrac{3}{5}\)
4. \(\dfrac{2}{5}\)
(take \(g= 10 ~\text {m/s}^2\))
1. \(\dfrac{5}{3} \)
2. \(\dfrac{2}{3} \)
3. \(\dfrac{3}{5}\)
4. \(\dfrac{2}{5}\)
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A flexible chain of mass \(m\) hangs between two fixed points at the same level. The inclination of the chain with horizontal at the two points of support is \(30^{\circ}.\) Considering the equilibrium of each half of the chain, the tension of the chain at the lowest point is:
| 1. | \(\dfrac{\sqrt{3}}{2} m g\) | 2. | \(\dfrac{1}{2} m g\) |
| 3. | \(mg\) | 4. | \(\sqrt{3}mg\) |
Subtopic: Tension & Normal Reaction |
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A \(1\) kg mass is suspended from the ceiling by a rope of length 4 m. A horizontal force 'F' is applied at the midpoint of the rope so that the rope makes an angle of \(45^{\circ}\) with respect to the vertical axis as shown in figure. The magnitude of F is: (Assume that the system is in equilibrium and g = 10 m/s2)
1. \(10~ N\)
2. \(1~ N\)
3. \(\frac{10}{\sqrt{2}} \mathrm{~N}\)
4. \(\frac{1}{10 \times \sqrt{2}} \mathrm{~N}\)
1. \(10~ N\)
2. \(1~ N\)
3. \(\frac{10}{\sqrt{2}} \mathrm{~N}\)
4. \(\frac{1}{10 \times \sqrt{2}} \mathrm{~N}\)
Subtopic: Tension & Normal Reaction |
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Three blocks of masses \(2~\text{kg},\) \(3~\text{kg},\) and \(5~\text{kg}\) are connected in a straight line on a smooth horizontal surface, as shown in the figure. A horizontal force of \(10 ~\text N\) is applied to the \(5~\text{kg}\) block towards the right. What are the tensions \(T_1\) and \(T_2\) in the strings connecting the blocks?
1. \(2 ~\text N,~ 5~\text N\)
2. \(5 ~\text N,~ 2~\text N\)
3. \(3~\text N, ~4~\text N\)
4. \(4~\text N, ~3~\text N\)
Subtopic: Tension & Normal Reaction |
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The tension \((T)\) in the given string is:
| 1. | \(220~\text N\) | 2. | \(192~\text N\) |
| 3. | \(320~\text N\) | 4. | \(270~\text N\) |
Subtopic: Tension & Normal Reaction |
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A force \(200 ~\text N\) is exerted on a disc of mass \(70~\text{kg}\) as shown in the figure. What is the normal reaction given by the ground on the disc?
1. \(200~\text{N}\)
2. \(600~\text{N}\)
3. \(800~\text{N}\)
4. \(\dfrac{200}{\sqrt{3}}~\text{N}\)
1. \(200~\text{N}\)
2. \(600~\text{N}\)
3. \(800~\text{N}\)
4. \(\dfrac{200}{\sqrt{3}}~\text{N}\)
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A block remains in equilibrium as shown. If the mass, \(m=\sqrt{3}\) kg, what is the tension in the string?
| 1. | \(\sqrt{3}g\) N | 2. | \(3g\) N |
| 3. | \(\dfrac{g}{2}\) N | 4. | \(\dfrac{g}{\sqrt{3}}\) N |
Subtopic: Tension & Normal Reaction |
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A monkey of mass \(50~\text{kg}\) climbs on a rope which can withstand the tension \((T)\) of \(350~\text{N}\). The monkey initially climbs down with an acceleration of \(4~\text{m/s}^2\) and then climbs up with an acceleration of \(5~\text{m/s}^2.\)
(take \(g=10~\text{m/s}^2\))
Choose the correct option from the given ones:
(take \(g=10~\text{m/s}^2\))
Choose the correct option from the given ones:
| 1. | \(T=700~\text N\) while climbing upward. |
| 2. | \(T=350~\text N\) while going downward. |
| 3. | The rope will break while the monkey climbs upward. |
| 4. | The rope will break while the monkey goes downward. |
Subtopic: Tension & Normal Reaction |
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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: Tension & Normal Reaction |
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