BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Figure P8.29 shows a uniform beam of mass m pivoted at its lower end, with a horizontal spring attached between its top end and a vertical wall. The beam makes an angle θ with the horizontal. Find expressions for (a) the distance d the spring is stretched from equilibrium and (b) the components of the force exerted by the pivot on the beam.

images

Figure P8.29

(a)

To determine
The distance d of the spring stretched from equilibrium.

Explanation

Given Info: The mass of the beam is m, horizontal angle of the beam is θ , and distance of the spring is d.

The following figure shows the free body diagram of the uniform beam,

Formula to calculate the spring force by using Hooke’s law is,

Fs=kd (1)

  • k is the spring constant.
  • d is the distance of the spring.

The net torque is zero at the lower end of the beam. Therefore,

τ=0Fslsinθmg(l2cosθ)=0

  • g is the acceleration due to gravity.
  • Fs is the spring force.
  • l is the length of the beam.
  • θ is the horizontal angle.
  • m is the mass of the beam

(b)

To determine
The components of force exerted by the pivot on the beam.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

The roles of protein in the body include all but a. blood clot formation. b. tissue repair. c. gas exchange. d....

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

22-72 What does the reducing agent do in straightening curly hair?

Introduction to General, Organic and Biochemistry

How does hydrostatic equilibrium relate to hot-air ballooning?

Horizons: Exploring the Universe (MindTap Course List)

Why are buffers important for living organisms?

Biology: The Dynamic Science (MindTap Course List)

A tank with a flat bottom of area A and vertical sides is filled to a depth h with water. The pressure is P0 at...

Physics for Scientists and Engineers, Technology Update (No access codes included)