(c) For the ladder to be in mechanical equilibrium: (i) (ii) Write down equations for the total x- and y-components of the 5 forces acting on the ladder. Consider torques about the centre of the ladder. In which direction (into or out of the page) does the torque due to each of the 5 forces force act? (iii) Write down an equation for the sum of the torques about the centre of mass of the ladder. (iv) Use your equation for the torques to derive an expression for tan a in terms of the magnitudes of the forces acting.

(c) For the ladder to be in mechanical equilibrium: (i) (ii) Write down equations for the total x- and y-components of the 5 forces acting on the ladder. Consider torques about the centre of the ladder. In which direction (into or out of the page) does the torque due to each of the 5 forces force act? (iii) Write down an equation for the sum of the torques about the centre of mass of the ladder. (iv) Use your equation for the torques to derive an expression for tan a in terms of the magnitudes of the forces acting.

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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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

(c) For the ladder to be in mechanical equilibrium:
(i)
Write down equations for the total x- and y-components of the 5
forces acting on the ladder.
(ii) Consider torques about the centre of the ladder. In which direction
(into or out of the page) does the torque due to each of the 5 forces
force act?
(iii) Write down an equation for the sum of the torques about the
centre of mass of the ladder.
(iv) Use your equation for the torques to derive an expression for tan a
in terms of the magnitudes of the forces acting.

A ladder of length 2L and mass M is positioned on level ground leaning
against a wall such that the angle between the ladder and the horizontal is
a. The coefficient of static friction between the ladder and the wall and
between the ladder and the ground is static
0.66. The centre of mass of
the ladder is halfway along it.
=

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Step 2: Part (1) writing 5 forces acting on the ladder

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Step 3: component of forces in x and y direction

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Step 4: Part(ii) direction of torque of the forces about center of the ladder

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Step 5: Part(iii) Writing torque equation about center of mass

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