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

A metal cylinder of radius R is placed on a wooden plank BD. The plank

1.	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» ANSWER :`(alpha_(1))/(alpha_(2)) =8/1`