A steel ladder of mass 40 kg and of length 20 m leans against a frictionless wall at a point 16 m above the ground. For safety purpose, the center of mass of the ladder is designed to be a quarter the way up. A 60 kg man is standing halfway up the ladder. (a) Calculate the reaction R from the ground and the angle θ it makes with the vertical. (b) If the man is to stand on the top of the ladder without slipping, find the minimum value for the coefficient of static friction between the ladder and the ground.

A steel ladder of mass 40 kg and of length 20 m leans against a frictionless wall at a point 16 m above the ground. For safety purpose, the center of mass of the ladder is designed to be a quarter the way up. A 60 kg man is standing halfway up the ladder. (a) Calculate the reaction R from the ground and the angle θ it makes with the vertical. (b) If the man is to stand on the top of the ladder without slipping, find the minimum value for the coefficient of static friction between the ladder and the ground.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section: Chapter Questions

Problem 1STP

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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 steel ladder of mass 40 kg and of length 20 m leans against a frictionless wall at a point 16 m above the ground. For safety purpose, the center of mass of the ladder is designed to be a quarter the way up. A 60 kg man is standing halfway up the ladder.
(a) Calculate the reaction R from the ground and the angle θ it makes with the vertical.
(b) If the man is to stand on the top of the ladder without slipping, find the minimum value for the coefficient of static friction between the ladder and the ground.

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