A 400.0-N sign hangs from the end of a uniform strut. The strut is 4.0 m long and weighs 600.0 N. The strut is supported by a hinge at the wall and by a cable whose other end is tied to the wall at a point 3.0 m above the left end of the strut. Find the tension in the supporting cable and the force of the hinge on the strut. Show your solution

A rigid beam of length 1.8 m is in equilibrium, with one end attached to a wall by a hinge, and the other end held in place by a thin, massless wire as shown in the figure on Zoom.  The wire will break if tension exceeds 1300 N.  What is the maximum mass of the beam that can still be supported by the wire?

A 7.64-m uniform beam is hinged to a vertical wall and held horizontally by a 5.00-m cable attached to the wall 4.00 m above the hinge, as shown in the figure. The metal of this cable has a test strength of 728 N, which means that it will break if the tension in it exceeds that amount. What is the largest mass the beam can have? Round your answer to one decimal place.

A uniform beam 4.2 m long and weighing 2200 N carries a 3700 N weight 1.50 m from the far end, as shown in the figure below. It is supported horizontally by a hinge at the wall and a metal wire at the far end. 1) How strong does the wire have to be? That is, what is the minimum tension it must be able to support without breaking? Express your answer in newtons.   2) What are the horizontal component of the force that the hinge exerts on the beam? Express your answer in newtons.   3) What are the vertical component of the force that the hinge exerts on the beam? Express your answer in newtons.