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Problem 5.15: Hinged flat plate swung against wall | ![]() |
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A flat plate is hinged at one side to s smooth
floor, as shown, and held at a small angle qo
(qo<<
1) relative to the floor. The entire system is
submerged in a liquid of constant density r.
At t = 0, a vertical force is applied and
adjusted continually so that the rate of decrease of the plate angle q
remains constant at a value ![]() Assuming that the flow is incompressible and inviscid, derive expressions for (a) the horizontal velocity u(x,t) at point x and time t |
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(b) the x-direction force FH(t) exerted by the hinge on the floor. Assume the plate has negligible inertia. |
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