Book cover for Physics

Physics

Alan Giambattista, Betty McCarthy Richardson, Robert C. Richardson

ISBN #9780073404530

2nd Edition

2,795 Questions

Group icon
250,136 Students Helped

Homework Questions

Right arrow
Summary

Learning Objectives

Key Concepts

Example Problems

Explanations

Common Mistakes

Summary

This section covers the central concepts of elasticity and oscillations encompassing Hooke’s law, stress, and strain. It explains how various moduli—Young’s, shear, and bulk—characterize material stiffness and resistance to deformation under different types of forces. From these fundamentals, the discussion naturally transitions into the realm of oscillatory motion, introducing simple harmonic motion (SHM), its energy dynamics, and the derivation of period and frequency formulas for systems such as mass-spring and pendulum setups. The effects of damping and external driving forces (forced oscillations) are also detailed, highlighting real-world applications in engineering and everyday phenomena like bridge vibrations and shock absorbers.

Learning Objectives

1

-

2

2.

3

E

4

x

5

p

Key Concepts

CONCEPT

DEFINITION

No concepts available

No definitions available for this book.

Example Problems

Example 1

A steel beam is placed vertically in the basement of a building to keep the floor above from sagging. The load on the beam is $5.8 \times 10^{4} \mathrm{N},$ the length of the beam is $2.5 \mathrm{m},$ and the cross-sectional area of the beam is $7.5 \times 10^{-3} \mathrm{m}^{2}$ Find the vertical compression of the beam.

Example 2

A 91 -kg man's thighbone has a relaxed length of $0.50 \mathrm{m},$ a cross-sectional area of $7.0 \times 10^{-4} \mathrm{m}^{2},$ and a Young's modulus of $1.1 \times 10^{10} \mathrm{N} / \mathrm{m}^{2} .$ By how much does the thighbone compress when the man is standing on both feet?

Example 3

A brass wire with Young's modulus of $9.2 \times 10^{10} \mathrm{Pa}$ is $2.0 \mathrm{m}$ long and has a cross-sectional area of $5.0 \mathrm{mm}^{2} .$ If a weight of $5.0 \mathrm{kN}$ is hung from the wire, by how much does it stretch?

Example 4

A wire of length $5.00 \mathrm{m}$ with a cross-sectional area of $0.100 \mathrm{cm}^{2}$ stretches by $6.50 \mathrm{mm}$ when a load of $1.00 \mathrm{kN}$ is hung from it. What is the Young's modulus for this wire?

Example 5

Two steel wires (of the same length and different radii) are connected together, end to end, and tied to a wall. An applied force stretches the combination by $1.0 \mathrm{mm}$ How far does the midpoint move? (IMAGE NOT COPY)

Scroll left
Scroll right

Step-by-Step Explanations

Scroll left
Scroll right

Common Mistakes

  • -
  • 2.
  • C
  • o
  • n