Consider a frictionless, massless and leak-pr00 plug blocking a rectangular hole of dimensions 2Rx Lat the bottom of an open tank as shown in the figure. The head of the plug has the shape of a semi-cylinder of radius R. The tank is filled with a liquid of density p up to the tip of the plug. The gravitational acceleration is g. Neglect the effect of the atmospheric pressure.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.122P: The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate...
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The force F required to hold the plug in its position ( from given figure)

Consider a frictionless, massless and leak-proof
plug blocking a rectangular hole of dimensions
2Rx Lat the bottom of an open tank as shown in
the figure. The head of the plug has the shape of
a semi-cylinder of radius R. The tank is filled with
a liquid of density p up to the tip of the plug.
The gravitational acceleration is g. Neglect the
effect of the atmospheric pressure.
R
R
g
F
Sectional view A-A
A
The force F required to hold the plug in its position
is
(a) 2pR gL 1- (b) 2pR gL 1+
4
4
TC
(c) TR?p gL
(d)
PR gL
Transcribed Image Text:Consider a frictionless, massless and leak-proof plug blocking a rectangular hole of dimensions 2Rx Lat the bottom of an open tank as shown in the figure. The head of the plug has the shape of a semi-cylinder of radius R. The tank is filled with a liquid of density p up to the tip of the plug. The gravitational acceleration is g. Neglect the effect of the atmospheric pressure. R R g F Sectional view A-A A The force F required to hold the plug in its position is (a) 2pR gL 1- (b) 2pR gL 1+ 4 4 TC (c) TR?p gL (d) PR gL
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