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The vertical forces at points A, B, and P on an object are FA, FB, and FP. FP is equal to the weight W and points upward. Using the equations for equilibrium of forces and torques about point B, FA is calculated to be 3W pointing upward, and FB is calculated to be 4W pointing downward.

Technology Business

14. The (vertical) forces at points A, B and P are FA , FB and FP , respectively. We note that FP = W and
is upward. Equilibrium of forces and torques (about point B) lead to

FA + FB + W = 0
bW − aFA = 0

(a) From the second equation, we ﬁnd FA = bW/a = (15/5)W = 3W .
(b) Using this result in the ﬁrst equation above, we obtain FB = W − FA = −4W , pointing downward
(as indicated by the minus sign).

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