Determine the force P needed to hold the 60-lb weight in equilibrium.
Prob. F6-13
Answer to Problem 13FP
The force P needed to hold the 60 lb weight in equilibrium is
Explanation of Solution
Given information:
The weight in equilibrium (w) is 60 lb.
Assumptions:
- Consider the state of member as tension where the force is pulling the member, and as compression where the force is pushing the member.
- Consider the force indicating the right side as positive, and the left side as negative in horizontal components of forces.
- Consider the force indicating the upside is taken as positive, and the downside as negative in vertical components of forces.
- Consider the clockwise moment as negative and the anti-clock wise moment as positive wherever applicable.
- Apply the equation of equilibrium wherever applicable.
Explanation:
Show the free body diagram of a pulley as in Figure (1).
Using Figure (1),
Along vertical direction:
Determine the force P by resolving the vertical component of forces.
Conclusion:
Substitute 60 lb for w in Equation (I).
Thus, the force P needed to hold the 60 lb weight in equilibrium is
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