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# Fundamentals of Physics Chapter 15 Solutions: Oscillations

Halliday Resnick & Walker Fundamentals of Physics Volume 1 Solutions for Chapter 15 ‘Oscillations’ are created to help you in JEE Physics preparation sling with Class 12 board exams. In this chapter of Resnick Halliday Walker Fundamentals of Physics book, you will study different topics like simple harmonic motion, the velocity of simple harmonic motion, its acceleration, the fourth law of simple harmonic motion, energy in simple harmonic motion, an angular simple harmonic motion oscillator, pendulums, the restoring torque, the physical pendulum, uniform circular motion and damped simple harmonic motion.

Resnick Halliday and Walker Physics Volume 1 Oscillations chapter consists of 7 modules with a total of 116 questions. Halliday Resnick and Walker designed these questions in a manner that they easily enhance your understanding of real-life applications of Physics concepts. Once you are able to answer all the questions mentioned in the chapter, you will be able to score good marks in competitive exams like IIT JEE and NEET.

Subject matter experts at Instasolv have created exercise-wise solutions for Resnick Halliday and Walker Physics Volume 1 Oscillations chapter. The concepts explained in these solutions will also be beneficial for your Class 12 board exams. Each solution contains detailed explanations along with tips and tricks for competitive exams. You must also refer to the important topics for this chapter presented by our subject matter experts.

## Important Topics for Resnick Halliday & Walker Fundamentals of Physics Volume 1 Solutions Chapter 15: Oscillations

Oscillation

Oscillation refers to the moment that works in a back and forth manner in a regular rhythm. The frequency of oscillation is mainly measured in hertz and it is the number of oscillations per second. The time taking for one oscillation is known as the period which is measured in seconds.

Resnick Halliday & Walker Fundamentals of Physics Volume 1 Chapter 15 Oscillations will help you understand that the entire world is filled with oscillation in which the objects move back and forth in a repetitive manner. Some of the oscillations are annoying or even amusing while many are even dangerous and thus hold a lot of importance. For example, when a bat hits a baseball the bat oscillates enough to sting the batsman’s hand or even to break apart.

Simple Harmonic Motion

This is a type of periodic motion or oscillation where the restoring force is directly proportional to the displacement and acts in the direction opposite to the displacement.

Some Important Points of Simple Harmonic Motion

• A particle oscillates left and right in simple harmonic motion
• The speed is zero at the extreme points
• The speed is greatest at the midpoint
• Rotating the figures reveals that the motion forms of the cosine function

In this chapter of Resnick Halliday & Walker Fundamentals of Physics Volume 1, you will know how to find the amplitude of oscillations which tells how far the particle moves in its oscillations.

The Force Law For Simple Harmonic Motion

Under this section, you will know how the direction of the force on the particle is opposite to the direction of displacement of the particle. You will get to know how simple harmonic motion is a type of restoring force that mainly fights against displacement in order to restore the particle to the centre point.

Energy In Simple Harmonic Motion

Here you will know that the energy transfers back and forth between potential energy and kinetic energy while on the other hand, the sum of the two that is the mechanical energy of the oscillators remains constant.

An Angular Simple Harmonic Oscillator

Under this section, you will study the torsion pendulum. It is a type of oscillator for which the restoring force is mainly torsion. Also, you will study about angular simple harmonic motion as well as the torsion constant in the chapter.

Pendulums

Pendulums will discuss the class of simple harmonic oscillators in which the springiness is mainly associated with the gravitational force instead of the elastic properties of a wire or the compressed spring.

Under this section, you will study about different examples of devices that mainly undergo simple harmonic motion. These devices are torsion pendulum, simple pendulum, as well as physical pendulum. In the chapter, you will know how to find the periods of oscillation for these three types of devices.

Uniform Circular Motion and Simple Harmonic Motion

Simple harmonic motion mainly projects the uniform circular motion on to the diameter of the circle in which the circular motion force.

Damped Harmonic Motion

This section tells you that the mechanical energy in any real oscillating system mainly decreases during the oscillation. It is because of the external forces like the drag force that stopped the oscillation and transformed mechanical energy into thermal energy.

### Exercise Discussion of Halliday Resnick & Walker Fundamentals of Physics Volume 1 Solutions Chapter 15: Oscillations

Module 1: Simple Harmonic Motion

This module contains 26 questions in which you need to find out the face constant of the simple harmonic motion, the period, the frequency in hertz, the angular frequency, displacement velocity, mass amplitude.

Module 2: Energy in Simple Harmonic Motion

This module has around 11 questions in which you need to find out the total mechanical energy of the oscillator, a maximum speed of the particle, maximum displacement, a ratio of kinetic energy, frequency of the oscillation, distance and mass.

Module 3: An Angular Simple Harmonic Oscillator

This module contains only 2 questions in which you need to find out the period of oscillations, maximum angular speed, angular acceleration.

Module 4: Pendulums, Circular Motion

This module consists of 17 questions in which you need to find out the length of the road, the maximum kinetic energy, the period of simple harmonic motion, the torsion constant, a period of oscillation, a period of resulting simple harmonic motion.

Module 5: Damped Simple Harmonic Motion

This module contains only 4 questions in which you need to find out the percentage of mechanical energy, the ratio of oscillation amplitude, time taking to complete the oscillations and the value of spring constant.

Module 6: Forced Oscillations

This module contains only 3 questions in which you need to find out the amplitude, velocity and amplitude of the oscillating object.