InterviewSolution
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InterviewSolution
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As shown in figure a smooth rod is mounted just above a table top `10 kg` collar, which is able to slide on the rod with negligible friction is farstened to a spring whose other end is attached to a pivot at O. The spring has negligible mass, a relaxed length of `10 cm` and a spring constant of `500 N//m` the collar is released from rest at point A. (a) What is its velocity as it passes point B? . |
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Answer» Correct Answer - A::B::D (a) `K_(A) + U_(A) =K_(B) + U_(B)` `:. 0 + 1/2 xx 500 xx (0.5-0.1)^(2)` `1/2 xx 10 xx v^(2) + 1/2 xx 500 xx (0.3-0.1)^(2)` On solving we get `v=2.45 m//s` (b) `CO =sqrt((BO)^(2) + (BC)^(2))` `= sqrt((30)^(2) + (20)^(2))` `approx 36 cm` `=0.36 m` Again applying the equation, `K_(A) + U_(A) =K_(C ) + U_(C )` `0 + 1/2 xx 500 xx (0.5-0.1)^(2)` `=1/2 xx 10 xx v^(2) + 1/2 xx 500(0.36-0.1)^(2)` On solving, we get `v=2.15 m//s`. |
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