A rectangular plate is rotating with a constant angular speed about an axis that

Question

A rectangular plate is rotating with a constant angular speed about an axis that passes perpendicularly through one corner, as the drawing shows. The centripetal acceleration measured at corner A is n times as great as that measured at corner B. What is the ratio L1/L2 of the lengths of the sides of the rectangle when n = 1.62?

Explanation / Answer

The distance of point B = v[L1^2+L2^2] =>centripetal acceleration at A = v^2/L1 -------------(i) =>centripetal acceleration at B = v^2/v[L1^2+L2^2] ------------(ii) =>given :- centripetal acceleration at A = 2.6 x centripetal acceleration at B => v^2/L1 = 2.6 x v^2/v[L1^2+L2^2] =>v[L1^2+L2^2] = 2.6L1 =>L1^1 + L2^2 = 6.76L1^2 =>L1^2/L2^2 + 1 = 6.76 =>(L1/L2)^2 = 5.76 =>L1/L2 = v5.76 =>L1/L2 = 2.4

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