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A child revolves a stone of mass 0 .5 kg...

A child revolves a stone of mass 0 .5 kg tied to the end of a string of length 40 cmin a vertical circle . The speed of the stone at the lowest point of the circle is `3 m//s` Calculate tension in the string at this point.

Text Solution

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Here , ` m = 0.5 kg , r = 40 cm = 0.4 m `
` upsilon = 3 m//s , T = ? `
At the lowest point of vertical circle , ` T = mg + m upsilon^(2)/(r) = m (g + upsilon^(2)/(r)) `
` = 0.5 (9.8 + (3xx 3)/(0.4)) `
` T = 16 . 15 N `
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