- 1(current)
Q. No.A particle of mass \(m\) is attached to one end of a light spring with spring constant \(k\) and natural length \(l.\) The other end of the spring is fixed. The system rotates in a circle with angular speed \(\omega\) in gravity-free space. The stretch in the spring is:
| 1. | \(\dfrac{m l \omega^2}{k+m \omega}\) | 2. | \(\dfrac{m l \omega^2}{k+m \omega^2}\) |
| 3. | \(\dfrac{{m} l \omega^2}{{k}-\omega {m}}\) | 4. | \(\dfrac{m l \omega^2}{k-m \omega^2}\) |
Subtopic: Spring Force |
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Level 3: 35%-60%
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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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Level 1: 80%+
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A spring of force constant \(15~\text{N/m}\) is cut into two pieces. If the ratio of their length is \(1:3,\) then the force constant of smaller piece is: (in N/m)
1. \(15\)
2. \(20 \)
3. \(60\)
4. \(45\)
1. \(15\)
2. \(20 \)
3. \(60\)
4. \(45\)
Subtopic: Spring Force |
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