L1 L2

What is the ratio of L1/L2 of the lengths of the sides of the rectangle?

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 of L1/L2 of the lengths of the sides of the rectangle when n = 3.35?

The magnitude of the centripetal force on an object of mass m moving at a speed v along a path with radius of curvature r is:
F = m ac = m v^2 / r
where ac is the centripetal acceleration. ac = v^2 / r
V = Cte
ac1= k /L1 L1 ac1 = k
ac2 = k /L2 L2 ac2 = k

L1 ac1 = L ac2
L1/ L2 = ac1 / ac2 = n

L1 / L2 = 3.35

Goodbye

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