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Two masses `M_(1)` and `M_(2)` are connected by light string, which passes over the top of a smooth plane inclined at `30^(@)` to the horizontal, so that one mass rests on the plane and the other hangs vertically as shown in figure. It is found that `M_(1)`, hanging vertically can draw `M_(2)` up the full length of the plane in half the time in which `M_(2)` hanging vertically draws `M_(1)` up. Find `M_(1)//M_(2)`. Assume pulley to be smooth. Initially at time `t = 0` smooth masses `M_(1) = 15 kg` and `M_(2) = 10 kg` are held at rest and then they released. if after one second. the string snaps, find the further time taken for the 15 kg mass to return to its original position on the plane. Take `g = 10 m//s^(2)` |
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Answer» Correct Answer - `3//2, 0.69` sec |
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