InterviewSolution
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InterviewSolution
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In the figure shown, there is a smooth tube of radius `R`, fixed in the vertical plane. A ball `B` of mass `m` is released from the top of the tube. `B` slides down due to gravity and compresses the spring is fixed and end `A` is free., Initially, line `OA` makes an angle `60^@` with `OC` and finally it makes an angle of `30^@` after compression. Find the spring constant of the spring. A. `(12 mg (2 + sqrt3))/(pi^(2) R)`B. `(36 mg (2 + sqrt3))/(pi^(2) R)`C. `(18 mg)/(pi^(2) R)`D. None of these |
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Answer» Correct Answer - D By energy conservation `mgR (1 + cos 30^(@)) = (1)/(2) k((pi R)/(6))^(2)` `implies k = (36 mg (2 + sqrt(3)))/(pi^(2)R)` |
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