A uniform steel beam of length L and mass m1 is attached via a hinge to the sde

Question

A uniform steel beam of length L and mass m1 is attached via a hinge to the sde of a building. The beam is supported by a steel cable attached to the end of the beam at an angle theta, as shown. Through the hinge, the wall exerts an unknown force. F, on the beam. A workman of mass m2 sits eating lunch a distance d from the building. (Figure 1) Find T. the tension in the cable. Remember to account for all the forces n the problem. Express your answer In terms of m,, m2. L. d, theta, and g, the magnitude of the acceleration due to gravity. Find Fx the x-component of the force exerted by the wall on the beam (F). using the axis shown. Remember to pay attention to the direction that the wall exerts the force. Express your answer In terms of T and other given quantities. Find Fy the y-component of force that the wall exerts on the beam (F). using the axis shown. Remember to pay attention to the direction that the wall exerts the force. Express your answer In terms of T, theta, m1, m2, and q.

Explanation / Answer

a)

T = g*(m_1*L/2+m_2*d)/(L*sin())

b)

Fx = -T*cos(theta)

c)

Fy = -sin(theta)*T+m_1*g+m_2*g  

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