Sir Lost-a-Lot dons his armor and sets out from the castle on his trusty steed (see figure below). Usually, the drawbridge is lowered 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 e = 20.0° above the horizontal. The knight and his horse stop when their combined center of mass is d = 1.25 m from the end of the bridge. The uniform bridge isl = 7.25 m long and has mass 2 500 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 1 070 kg. While Lost-a-Lot ponders his next move, the enemy attacks! An incoming projectile breaks off the stone ledge so that the end of the drawbridge can be lowered past the wall where it usually rests. In addition, a fragment of the projectile bounces up and cuts the drawbridge cable! The hinge between the castle wall and the bridge is frictionless, and the bridge swings down freely until it is vertical and smacks into the vertical castle wall below the castle entrance. ATHI ATA TAU A AUTA ANTH

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
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Chapter10: Systems Of Particles And Conservation Of Momentum
Section: Chapter Questions
Problem 75PQ
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(a) How long does Lost-a-Lot stay in contact with the bridge while it swings downward?
(b) Find the angular acceleration (magnitude) of the bridge once it starts to move.
]rad/s2
(C) Find the angular speed of the bridge when it strikes the vertical castle wall below the hinge.
| rad/s
(d) Find the force exerted by the hinge on the bridge immediately after the cable breaks.
horizontal component: magnitude
kN
direction
--Select---
vertical component:
magnitude
KN
direction
--Select-
(e) Find the force exerted by the hinge on the bridge immediately before it strikes the castle wall.
horizontal component: magnitude
kN
direction
--Select--
vertical component:
magnitude
kN
direction
Select-
Transcribed Image Text:(a) How long does Lost-a-Lot stay in contact with the bridge while it swings downward? (b) Find the angular acceleration (magnitude) of the bridge once it starts to move. ]rad/s2 (C) Find the angular speed of the bridge when it strikes the vertical castle wall below the hinge. | rad/s (d) Find the force exerted by the hinge on the bridge immediately after the cable breaks. horizontal component: magnitude kN direction --Select--- vertical component: magnitude KN direction --Select- (e) Find the force exerted by the hinge on the bridge immediately before it strikes the castle wall. horizontal component: magnitude kN direction --Select-- vertical component: magnitude kN direction Select-
Sir Lost-a-Lot dons his armor and sets out from the castle on his trusty steed (see figure below). Usually, the drawbridge is lowered 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 e = 20.0° above
the horizontal. The knight and his horse stop when their combined center of mass is d = 1.25 m from the end of the bridge. The uniform bridge is { = 7.25 m
long and has mass 2 500 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 1 070 kg. While Lost-a-Lot ponders his next move, the enemy attacks! An incoming projectile
breaks off the stone ledge so that the end of the drawbridge can be lowered past the wall where it usually rests. In addition, a fragment of the projectile bounces
up and cuts the drawbridge cable! The hinge between the castle wall and the bridge is frictionless, and the bridge swings down freely until it is vertical and
smacks into the vertical castle wall below the castle entrance.
Transcribed Image Text:Sir Lost-a-Lot dons his armor and sets out from the castle on his trusty steed (see figure below). Usually, the drawbridge is lowered 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 e = 20.0° above the horizontal. The knight and his horse stop when their combined center of mass is d = 1.25 m from the end of the bridge. The uniform bridge is { = 7.25 m long and has mass 2 500 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 1 070 kg. While Lost-a-Lot ponders his next move, the enemy attacks! An incoming projectile breaks off the stone ledge so that the end of the drawbridge can be lowered past the wall where it usually rests. In addition, a fragment of the projectile bounces up and cuts the drawbridge cable! The hinge between the castle wall and the bridge is frictionless, and the bridge swings down freely until it is vertical and smacks into the vertical castle wall below the castle entrance.
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