Sir Lost-a-Lot dons his armor and sets out from the castle on his trusty steed (
ID: 1293140 • Letter: S
Question
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
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 (a) Determine the tension in the cable. N (b) Determine the horizontal force component acting on the bridge at the hinge. magnitude N direction ---Select--- to the right to the left (c) Determine the vertical force component acting on the bridge at the hinge. magnitude magnitude N direction ---Select--- downwards upwards = 7.50 m long and has a mass of 2 200 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 900 kg.Explanation / Answer
Let T = tension in the lift cable(s)
If we assume the wall is vertical and draw a horizontal line from the cable-to-bridge connection point to the wall, we can determine the angle ? of the cable with the horizontal.
tan? = (12 - 5sin20) / 5cos20
? = 65.46