A uniform drawbridge must be held at a 41 degree angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 49,230 Newton and is 14.0 meter long. A cable is connected 3.5 meter from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place.
(a) Calculate the tension in the cable?
N
(b) Obtain the direction and magnitude of the force the hinge exerts on the bridge.
magnitude N
direction ° above the horizontal