Answer :
The force required at point (P) is calculated using the moment equation, and with the provided values, it comes out to be approximately 213 lb, which corresponds to option b. So correct answer is option b.
To determine the force necessary to produce a specific moment, we can use the equation M = rF sin(θ), where M is the moment, r is the distance from the pivot to the point of force application, F is the force applied, and θ is the angle at which the force is applied.
In this scenario, we've been given a moment (M) of 9050 lb·in, a distance (r) of 43 in, and an angle (θ = 20°).
To find the force, we must rearrange the equation to solve for F: F = M / (r sin(θ))
By plugging in the given values: F = 9050 lb·in / (43 in · sin(20°))
After performing the calculation, we find the force to be approximately 213 lb, which corresponds to option b.
Therefore, the force required to produce the given moment at point (P) with the specified conditions is b) 213 lb.
