A beam of mass M = 163.27kg is connected to a vertical wall by a hinge. The othe

Question

A beam of mass M = 163.27kg is connected to a vertical wall by a hinge. The other end of the beam is held by a tie rope. Determine the tension in the tie rope and teh reaction froce at the hinge (you have to determine the horizontal and vertical components of the raction force) if the beam makes and angle equaling 40 degrees with the vertical

NOTE: the correct answer includes proper units! Roundoff you answers to 2 sig figs

The tension in the tie rope is T= _____

Components of the reaction force are Rx= _____ and Ry= _____

Explanation / Answer

net torque about pivot point is zero. so we have. T*L*cos40=Mg*L*sin40/2 so that T=Mg*tan40/2=68.5(N). ---- net vertical and horizontal forces is zero. so N_hor=T=68.5(N) (outward). N_ver=Mg=1600(N) (upward)

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