A 14.0 m uniform ladder weighing 520 N rests against a frictionless wall. The ladder makes a 65.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 3.80 m along the ladder from the bottom. horizontal force magnitude It may be helpful to think first about the force the wall exerts on the ladder. How is this related to the force that the ground exerts on the ladder? N towards the wall direction vertical force magnitude N direction up (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? (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?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 38P: A uniform horizontal strut weighs 400.0 N. One end of the strut is attached to a hinged support the...
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A 14.0 m uniform ladder weighing 520 N rests against a frictionless wall. The ladder makes a 65.0°-angle with the horizontal.
(a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed
3.80 m along the ladder from the bottom.
horizontal force
magnitude
It may be helpful to think first about the force the wall exerts on the ladder. How is this related to the force that the
ground exerts on the ladder? N
towards the wall
direction
vertical force
magnitude
direction
up
(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?
(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 520 N rests against a frictionless wall. The ladder makes a 65.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 3.80 m along the ladder from the bottom. horizontal force magnitude It may be helpful to think first about the force the wall exerts on the ladder. How is this related to the force that the ground exerts on the ladder? N towards the wall direction vertical force magnitude direction up (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? (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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