An object of weight W is dragged along a horizontal plane by means of a force Pwhose line of action makes an angle 0 with the plane. The magnitude of the force is given by the formula P = u sin 0 + cos 0 where u denotes the coefficient of friction. Find the value of O that minimizes P.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CT: Test
Problem 8CT: Determine whether the statement is true or false. a A right circular cone has exactly two bases. b...
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An object of weight W is dragged along a horizontal plane by
means of a force Pwhose line of action makes an angle 0 with
the plane. The magnitude of the force is given by the formula
P =
u sin 0 + cos 0
where u denotes the coefficient of friction. Find the value of
O that minimizes P.
Transcribed Image Text:An object of weight W is dragged along a horizontal plane by means of a force Pwhose line of action makes an angle 0 with the plane. The magnitude of the force is given by the formula P = u sin 0 + cos 0 where u denotes the coefficient of friction. Find the value of O that minimizes P.
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