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Answer :
The moment of force about A due to 89 lb is 1,132.8 lb-ft
The moment of force about A due to 44 lb is 316.8 lb-ft.
How to calculate the moment of each force about A?
The moment of each force about A is calculated by applying the following formula as shown below;
τ = rFsinθ
where;
- r is the perpendicular distance to point A
- F is the applied force
- θ is the angle of the applied force
The moment of force about A due to 89 lb is calculated as;
τ = 89lb x (12 ft + 6ft) x sin (45)
τ = 1,132.8 lb-ft
The moment of force about A due to 44 lb is calculated as;
τ = 44lb x 12 ft x sin (θ)
The angle of the 44 lb force is calculated as;
sinθ = 3/5
τ = 44lb x 12 ft x 3/5
τ = 316.8 lb-ft
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The complete question is below:
Two men exert forces of f = 89 lb and p = 44 lb on the ropes. (figure 1). Calculate the moment of force of each force about A.
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