A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 59.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 840-N firefighter has climbed 3.70 m along the ladder from the bottom. horizontal force magnitude direction vertical force magnitude direction -Select- N -Select-- v (b) If the ladder is just on the verge of slipping when the firefighter is 9.20 m from the bottom, what is the coefficient of static friction between ladder and ground? Need Help? N (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? m Read It Master It

A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 59.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 840-N firefighter has climbed 3.70 m along the ladder from the bottom. horizontal force magnitude direction vertical force magnitude direction -Select- N -Select-- v (b) If the ladder is just on the verge of slipping when the firefighter is 9.20 m from the bottom, what is the coefficient of static friction between ladder and ground? Need Help? N (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? m Read It Master It

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 25PQ: A painter of mass 87.8 kg is 1.45 m from the top of a 6.67-m ladder. The ladder rests against a...

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Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 59.0°-angle with the horizontal.
(a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 840-N firefighter has climbed 3.70 m along the ladder from the bottom.
horizontal force
magnitude
direction
vertical force
---Select---
Need Help?
magnitude
direction
(b) If the ladder is just on the verge of slipping when the firefighter is 9.20 m from the bottom, what is the coefficient of static friction between ladder and ground?
N
---Select--- V
N
(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?
m
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Step 1: Free body diagram of the given ladder

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Step 2: determine the required horizontal and the vertical forces for part(A)

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Step 3: Continuing calculation

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Step 4: Determine the required frictional coefficient for part(B)

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Step 5: continuing above step

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Step 6: Determine the maximum distance for part (C)

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