A uniform metal sheet of mass M has been folded to give it L shape and it is placed on a rough floor as shown in figure. Wind is blowing horizontally and hits the vertical face of the sheet as shown. The speed of air varies linearly from zero at floor level to `v_(0)` at height L from the floor. Density of air is `rho`. Find maximum value of `v_(0)` for which the sheet will not topple. Assume that air particles striking the sheet come to rest after collision, and that the friction is large enough to prevent the sheet from sliding

A uniform metal sheet of mass M has been folded to give it L shape and

1.	A uniform metal sheet of mass M has been folded to give it L shape and it is placed on a rough floor as shown in figure. Wind is blowing horizontally and hits the vertical face of the sheet as shown. The speed of air varies linearly from zero at floor level to `v_(0)` at height L from the floor. Density of air is `rho`. Find maximum value of `v_(0)` for which the sheet will not topple. Assume that air particles striking the sheet come to rest after collision, and that the friction is large enough to prevent the sheet from sliding
Answer» Correct Answer - `(v_(0))_("max") = (1)/(L) sqrt((3Mg)/(rho))`

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