ir Lost-a-Lot dons his armor and sets out from the castle on his trusty steed (see figure below). Usually, the drawbridge is lowed to a horizontal position so that the end of the bridge rests on the stone ledge. Unfortunately Lost-a-Lot's squire didn't lower the drawbridge far enough and stopped it at ? = 20.0° above the horizontal. The knight and his horse stop when their combined center of mass is d = 1.00 m from the end of the bridge. The uniform bridge is ℓ = 7.50 m long and has a mass of 2 400 kg. The lift cable is attached to the bridge 5.00 m from the hinge at the castle end and to a point on the castle wall h = 12.0 m above the bridge. Lost-a-Lot's mass combined with his armor and steed is 1 050 kg. (a) Determine the tension in the cable. N (b) Determine the horizontal force component acting on the bridge at the hinge. magnitude N direction (c) Determine the vertical force component acting on the bridge at the hinge. magnitude magnitude N direction
Sir Lost-a-Lot dons his armor and sets out from the castle on his trusty steed (see figure below). Usually, the drawbridge is lowed to a horizontal position so that the end of the bridge rests on the stone ledge. Unfortunately Lost-a-Lot's squire didn't lower the drawbridge far enough and stopped it at ? = 20.0° above the horizontal. The knight and his horse stop when their combined center of mass is d = 1.00 m from the end of the bridge. The uniform bridge is ℓ = 7.50 m long and has a mass of 2 400 kg. The lift cable is attached to the bridge 5.00 m from the hinge at the castle end and to a point on the castle wall h = 12.0 m above the bridge. Lost-a-Lot's mass combined with his armor and steed is 1 050 kg.
(a) Determine the tension in the cable.
N
(b) Determine the horizontal force component acting on the bridge at the hinge.
| magnitude | N |
| direction |
(c) Determine the vertical force component acting on the bridge at the hinge.
magnitude
| magnitude | N |
| direction |
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