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A small ball is rolled with speed `u` from piont A along a smooth circular track as shown in figure. If `x=3R`, then Determine the required speed u so that the ball returns to A, the point of projection after passing through C, the highest point. |
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Answer» We determine the velocity at `C` so that it reaches `A` along a parbolic trajectory, then applying the law of conservation of energy to the motion `ABC` (as non-conservative force are absent) `v=` velocity at point `C=(3)/(2)sqrt(gR)` applying conservation of energy from `A` to `C` `(1)/(2)mu^(2)=2mgR+(1)/(2)mv^(2)` `rArr u=(5)/(2)sqrt(gR)` |
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