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A metal cylinder of radius R is placed on a wooden plank BD. The plank is kept horizontal suspended with the help of two identical string AB and CD each of length L. The temperature coefficient of linear expansion of the cylinder and the strings are `a_1` and `a_2` respectively. Angle q shown in the figure is `30^(@)`. It was found that with change in temperature the centre of the cylinder did not move. Find the ratio `(alpha_(1))/(alpha_(2))` , if it is know that L = 4R. Assume that change in value of `theta` is negligible for small temperature changes

Answer» Correct Answer - `(alpha_(1))/(alpha_(2)) =8/1`


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