15) A uniform ladder having a weight of 150. N rests against a wall, making an angle of 60.00 up from the ground. Both the ground and the wall are frictionless surfaces, requiring a rope tied near the bottom of the ladder to prevent the base of the ladder from slipping left and the top of the ladder from sliding down. If the rope can reach a maximum tension of 450 N prior to breaking, how far up the ladder can a 700.-N person climb? The ladder is 3.00 m long and the rope is attached 0.500 m from its base. An incomplete free-body diagram is provided: 3.0 m x = ? ladder person 60° rope

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
Problem 82A
Question
15) A uniform ladder having a weight of 150. N rests against a wall, making an angle of 60.00
up from the ground. Both the ground and the wall are frictionless surfaces, requiring a rope
tied near the bottom of the ladder to prevent the base of the ladder from slipping left and
the top of the ladder from sliding down. If the rope can reach a maximum tension of 450 N
prior to breaking, how far up the ladder can a 700.-N person climb? The ladder is 3.00 m
long and the rope is attached 0.500 m from its base. An incomplete free-body diagram is
provided:
3.0 m
x = ?
ladder
person
60°
rope
Transcribed Image Text:15) A uniform ladder having a weight of 150. N rests against a wall, making an angle of 60.00 up from the ground. Both the ground and the wall are frictionless surfaces, requiring a rope tied near the bottom of the ladder to prevent the base of the ladder from slipping left and the top of the ladder from sliding down. If the rope can reach a maximum tension of 450 N prior to breaking, how far up the ladder can a 700.-N person climb? The ladder is 3.00 m long and the rope is attached 0.500 m from its base. An incomplete free-body diagram is provided: 3.0 m x = ? ladder person 60° rope
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