He uniform 110-kg beam is freely hinged about its upper end A and is initially at rest in the vertical position withθ= 0. Determine the initial angular accelerationα of the beam and the magnitudeFAof the force supported by the pin at A due to the application of the force P = 350 N on the attached cab

a) Initial angular acceleration of the beam = 1.27 rad/s²

b)

Explanation:

Force applied to the attached cable, P = 350 N

Mass of the beam, m = 110-kg

Mass moment of the inertia of the beam about point A =

Using the parallel axis theorem

Moment = Force * Perpendicular distance

From the free body diagram drawn

P = 350 N, l = 3+ 1 = 4 m, θ = 45°

Substitute these values into the equation above

Linear acceleration along the x direction is given by the formula

r = 2 m

the linear acceleration along the y-direction is given by the formula

Since the beam is initially at rest, w = 0

General equation of motion along x - direction

General equation of motion along y - direction

Magnitude of the force supported by the pin at A

the first, second, and fifth options