A 9.0 m uniform beam is hinged to a vertical wall and held horizontally by a 5.0 m cable attached to the wall 4.0 m above the hinge, as shown below. The metal of the cable has test strength of 1.00 KN (kilo-Newton), which is the maximum tension magnitude T the cable can support. That means the cable will break if T is greater than this value.

Question

A 9.0 m uniform beam is hinged to a vertical wall and held horizontally by a 5.0 m cable attached to the wall 4.0 m above the hinge, as shown below. The metal of the cable has test strength of 1.00 KN (kilo-Newton), which is the maximum tension magnitude T the cable can support. That means  the cable  will break if  T is greater than this value.

(a) (4 points) What is the angel θ ?
 
(b) (2 points) What is the distance along the bean between the hinge and where the cable is attached to the beam?
 
(c) (32 points) What is the largest  beam mass m (corresponding to the test strength) the cable can support with the given configuration shown?

(d) (4 points) Find the horizontal and vertical components of the force the hinge  exerts on the beam,

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