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 0 = 20.0° above the horizontal. The knight and his horse stop when their combined center of mass is d= 1.45 m from the end of the bridge. The uniform bridge is e = 9.50 m long and has mass 1 950 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.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 0 = 20.0° above the horizontal. The knight and his horse stop when their combined center of mass is d 3=
1.45 m from the end of the bridge. The uniform bridge is e = 9,50 m long and has mass 1 950 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.
cking
Again
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 0 = 20.0° above the horizontal. The knight and his horse stop when their combined center of mass is d 3= 1.45 m from the end of the bridge. The uniform bridge is e = 9,50 m long and has mass 1 950 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. cking Again
(b) Find the angular acceleration (magnitude) of the bridge once it starts to move.
1.841
Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s2
(c) Find the angular speed of the bridge when it strikes the vertical castle wall below the hinge.
2.29
Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s
(d) Find the force exerted by the hinge on the bridge immediately after the cable breaks.
5.076
horizontal
magnitude your response differs from the correct answer by more than 10%. Double check your
component:
calculations. kN
direction
to the right
7.123
vertical component: magnitude Your response differs from the correct answer by more than 10%. Double check your
calculations. kN
direction
upward
(e) Find the force exerted by the hinge on the bridge immediately before it strikes the castle wall.
horizontal
magnitude 0
kN
component:
direction
There is no horizontal component. v
63.35
vertical component:
magnitude Your response differs from the correct answer by more than 10%. Double check your
calculations. kN
Transcribed Image Text:(b) Find the angular acceleration (magnitude) of the bridge once it starts to move. 1.841 Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s2 (c) Find the angular speed of the bridge when it strikes the vertical castle wall below the hinge. 2.29 Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s (d) Find the force exerted by the hinge on the bridge immediately after the cable breaks. 5.076 horizontal magnitude your response differs from the correct answer by more than 10%. Double check your component: calculations. kN direction to the right 7.123 vertical component: magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. kN direction upward (e) Find the force exerted by the hinge on the bridge immediately before it strikes the castle wall. horizontal magnitude 0 kN component: direction There is no horizontal component. v 63.35 vertical component: magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. kN
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