**Challenge Problem #8: Torque and Equilibrium**A uniform ladder with mass \( m_2 = 14 \, \text{kg} \) and length \( L = 3.2 \, \text{m} \) rests against a smooth wall. A do-it-yourself enthusiast of mass \( m_1 = 70 \, \text{kg} \) stands on the ladder a distance \( d = 1.2 \, \text{m} \) from the bottom (measured along the ladder). There is no friction between the wall and the ladder, but there is a frictional force, with \( \mu_s = 0.25 \), between the floor and the ladder. \( N_1 \) is the magnitude of the normal force exerted by the wall on the ladder, and \( N_2 \) is the magnitude of the normal force exerted by the ground on the ladder.What angle \( \theta \), will cause the static friction with the floor to be maximized? Will the ladder start to slip when the angle is made larger, or smaller than this borderline value?

Given,Mass of the ladder, m2 = 14 kglength of the ladder, L = 3.2 mmass of the person, m1 = 70…

A uniform ladder with mass m2 = 14kg and length L= 3.2m rests,against a smooth wall. A do-it-yourself enthusia of mass mi = 70kg stands on the ladder a distance d = 1.2m from the bottom (measured along the ladder.) There is no friction between the wall and the ladder, but there is a frictional force, with u, =0.25, between the floor and the ladder. Ni is the magnitude of the normal force exerted by the wall on the ladder, and N2 is the magnitude of the normal force exerted by the ground on the ladder. %3D

A uniform ladder with mass m2 = 14kg and length L= 3.2m rests,against a smooth wall. A do-it-yourself enthusia of mass mi = 70kg stands on the ladder a distance d = 1.2m from the bottom (measured along the ladder.) There is no friction between the wall and the ladder, but there is a frictional force, with u, =0.25, between the floor and the ladder. Ni is the magnitude of the normal force exerted by the wall on the ladder, and N2 is the magnitude of the normal force exerted by the ground on the ladder. %3D

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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