A uniform 60 kg beam, 6 m long, is freely pivoted at P. The beam is supported in

Question

A uniform 60 kg beam, 6 m long, is freely pivoted at P. The beam is supported in a horizontal position by a light strut,5 m long, which is freely pivoted at Q and is loosely pinned to the beam at R. A load of mass is suspened from the end of the beam and S. A maximum compression of 18,000 N in the strut is permitted, due to safety.

A) In the figure, under maximum load, the x-component of the force exerted on the beam by the pivot at P is closest to :

B) In the figure, under maximum load, the y-component of the force exerted on the beam by the pivot at P is closest to:

Please show/ explain your work. Thanks!

Explanation / Answer

A)the x component of force is

Fx = F x cosA - Mg

where F = 18,000 N,cosA = (3/5),M is mass and g = 9.8 m/s^2

B)the y component of force is

Fy = F x sinA - Mg

where sinA = (4/5)

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