A person on horseback is on a drawbridge which is at an angle # = 20.0 above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is { = 7.05 m long and has a mass of 1,920 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall # = 12.0 m above the bridge. The mass of person plus horse is 1,240 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (Due to the nature of this problem, do not use rounded intermediate valuesincluding answers submitted in WebAssignin your calculations.) = L HIOAHH MEIHTH MTH] M | FH & (a) Determine the tension in the cable (in NJ). 27082 % Draw a diagram of the bridge, with forces and distances clearly labeled. Use your diagram to write the torgue equation for rotational eguilibrium with rotation axis at the hinge, and solve your equation for T. N (b} Determine the horizontal force component {in N} acting on the bridge at the hinge. magnitude 9263 4 Draw a force diagram of the bridge, and apply Newton's second law in the x- and y-directions. You will need to calculate the angle the cord makes with the vertical wall to determine the components of the tension force. N direction (c) Determine the vertical force component (in N) acting on the bridge at the hinge. direction