Question
If the man at $B$ exerts a force of $P=30$ lb on his rope, determine the magnitude of the force $\mathbf{F}$ the man at $C$ must exert to prevent the pole from rotating, i.e., so the resultant moment about $A$ of both forces is zero.
Step 1
The force is applied at an angle of $45^\circ$ to the horizontal. The distance from $A$ to $B$ is $4$ ft. The moment of this force about $A$ is given by $M_{AB} = P \cdot AB \cdot \sin(45^\circ)$. Show more…
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If the man at B exerts a force of P = 30 lb on his rope, determine the magnitude of the force F the man at C must exert to prevent the pole from rotating, i.e, so the resultant moment about A of both forces is zero.
In the Fig. $3.72$, the force with which the man should pull the rope to hold the plank in position is $F$. If weight of the man is $60 \mathrm{kgf}$, the plank and pulleys have negligible masses, then $\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)$ (A) $F=150 \mathrm{~N}$ (B) $F=300 \mathrm{~N}$ (C) $F=600 \mathrm{~N}$ (D) $F=1200 \mathrm{~N}$
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