A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 63.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 820-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude 247.19 direction vertical force towards the wall magnitude 1310 direction up N N (b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground? .3 (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter14: Static Equilibrium, Elasticity, And Fracture
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Problem 33PQ: Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a...
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A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 63.0°-angle with the horizontal.
(a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 820-N firefighter has climbed 4.10 m along the ladder from the bottom.
horizontal force
magnitude 247.19
direction
vertical force
towards the wall
magnitude 1310
direction
up
N
N
(b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground?
m
(c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb
along the ladder from the bottom before the ladder slips?
Transcribed Image Text:A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 63.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 820-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude 247.19 direction vertical force towards the wall magnitude 1310 direction up N N (b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground? m (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?
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