High School

Two men exert forces of [tex]f = 89 \text{ lb}[/tex] and [tex]p = 44 \text{ lb}[/tex] on the ropes. (Figure 1)

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.