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Q. No.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: Spring Force |
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A spring is subjected to two different forces separately. When a force of \(3 ~\text N\) is applied, the spring elongates by \(a\) units, and when a force of \(2 ~\text N\) is applied, the elongation is \(b\) units. What is the value of \((2a – 3b) \text{?}\)
1. \(5\)
2. \(0\)
3. \(7\)
4. \(9\)
1. \(5\)
2. \(0\)
3. \(7\)
4. \(9\)
Subtopic: Spring Force |
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Two \(1~\text{kg}\) blocks are connected by a light inextensible string and the system is suspended by a spring of stiffness \(1000~\text{N/m}.\) Take \(g=10~\text{m/s}^2.\)
The extension in the spring, in equilibrium, is:
The extension in the spring, in equilibrium, is:
| 1. | \(1~\text{cm}\) | 2. | \(2~\text{cm}\) |
| 3. | \(0.5~\text{cm}\) | 4. | \(\sqrt2~\text{cm}\) |
Subtopic: Spring Force |
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Level 1: 80%+
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Q. No.
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