(Figure 1)ln each case let w be the weight of the suspended crate full of priceless art objects. The strut is uniform and also has weight w. ing Figure < 1 of 1 (a) (b) 30.0 30.0° 45,0

(Figure 1) shows a metal advertising sign of weight w suspended from the end of a horizontal rod of negligible mass and length L. The end of the rod with the sign is supported by a cable at an angle θ from the horizontal, and the other end is supported by a hinge at point P.  Using the idea that there is zero net vertical force on the rod with the attached sign, find the tension in the cable.   Using the idea that there is zero net horizontal force on the rod with the attached sign, find the horizontal component of the force exerted by the hinge.

A uniform 37.0 kg scaffold of length 6.2 m is supported by two light cables, as shown below. An 82.0 kg painter stands 1.0 m from the left end of the scaffold, and his painting equipment is 1.6 mfrom the right end. If the tension in the left cable is twice that in the right cable, find the tensions in the cables (in N) and the mass of the equipment (in kg). (Due to the nature of this problem, do not use rounded intermediate values in your calculations).

A uniform drawbridge must be held at a 38o angle above the horizontal to allow ships to pass underneath.  The drawbridge weights 55000 N and is 15.0 m long.  A cable is connected 3.5 m from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place. What is the tension in the cable? Find the magnitude and direction of the force the hinge exerts on the bridge. If the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks? What is the angular speed of the drawbridge as it becomes horizontal? What is the velocity of the drawbridge, just before it “hits” (i.e. goes horizontal)?