Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Periodic Motion

In physics, periodic motion is motion in which the object moves in a regular or repetitive fashion (e.g. a pendulum). This type of motion has several special types: In physics, a wave is a disturbance that transfers energy without moving any material particles, or whose atoms oscillate, undulating back and forth, in a wavelike motion. In physics, a quantum mechanical system is a system that can be modeled as a collection of quantum particles, such as electrons, atoms, or photons. Quantum mechanical systems often exhibit quantum behavior. A quantum mechanical system can be in a superposition of many different quantum states, and can only be measured to be in one of those states. In physics, a quantum system is a physical system that can be modeled as a collection of quantum particles, such as electrons, atoms, or photons. Quantum systems often exhibit quantum behavior. A quantum mechanical system can be in a superposition of many different quantum states, and can only be measured to be in one of those states. In physics, oscillation, or oscillation, is the repetitive variation of some quantity about its mean value. The term may apply to a system (e.g., a mechanical system or an oscillating chemical reaction) or to a quantity that varies regularly (e.g., electric current, sound pressure, or displacement). Oscillation is often referred to as "vibrational" movement. In physics, frequency is the number of occurrences of a repeating event per unit time. It is also referred to as temporal frequency. The SI unit of frequency is s?1, but usually a hertz (Hz) is used instead. In physics, kinetic energy is the energy that must be supplied to an object in order to accelerate it from rest to its stated velocity. In classical mechanics, the energy is a scalar, while in quantum mechanics it is a vector. In physics, potential energy is the energy that an object has due to its position relative to other objects. The object with the greatest potential energy will be at its lowest point, and the object with the least will be at its highest point. In physics, momentum is the product of mass and velocity. More generally, it is the product of one or more of the three universal physical quantities: mass, velocity, and force. When a body's position is not changed, its momentum remains constant, and the amount of momentum that body possesses is given by the same calculation as when it is moving: The mass of the body is multiplied by its velocity and then its velocity is multiplied by its mass. In physics, motion is the translation of an object from one place to another, or a change in place. In physics, it is described by the classical laws of motion. Motion in everyday life is an inherent property of matter. In physics, a velocity is a vector quantity that describes the speed and direction of movement of an object. The SI unit of velocity is m/s, but in most other systems the unit of velocity is m/s. The direction of a velocity is usually expressed with reference to some frame of reference, such as the direction of a particular axis or of a point in space. In physics, a force is a type of action that causes objects to accelerate. In the presence of a net force, the acceleration of an object is perpendicular to its velocity. For example, if a ball is moving upward, the net force on the ball is downward and it accelerates downward. In physics, the related concepts of force and momentum are defined as follows. A force is a push or a pull. A force has both magnitude and direction. The magnitude of a force depends on the amount of matter it acts on. The direction of a force is given by a vector which is described in terms of a displacement from a starting point. In physics, energy is a property of objects which can be transferred to other objects or converted into different forms. Energy can be transformed in various ways. For example, it can be transformed into mechanical energy, heat, light, or chemical energy, such as it occurs in chemical reactions. It is also the ability to do work on an object. In physics, a spring is a system that stores mechanical energy in the form of elastic potential energy. For the physics definition, see Spring (physics) In physics, a force field is the result of a field acting on a particle. The field is an analogue of a static electric field in classical electromagnetism. In quantum theory, a force field is the result of a field acting on a quantum mechanical system. In physics, a force is a push or a pull. A force has both magnitude and direction. The magnitude of a force depends on the amount of matter it acts on. The direction of a force is

Simple Harmonic Motion

193 Practice Problems
View More
02:29
Physical Chemistry

Assume the form $\Psi_{0}=N_{0} \mathrm{e}^{-a x^{2}}$ for the ground-state wavefunction of the harmonic oscillator, and substitute this into the Schrödinger equation. Find the value of $a$ that makes this an eigenfunction.

Quantum Theory
Lottie Adams
01:51
Physical Chemistry

In the vibrational motion of $\mathrm{HI}$, the iodine atom essentially remains stationary because of its large mass. Assuming that the hydrogen atom undergoes harmonic motion and that the force constant $k$ is $317 \mathrm{N} \mathrm{m}^{-1},$ what is the fundamental vibration frequency $\nu_{0} ?$ What is $\nu_{0}$ if $\mathrm{H}$ is replaced by $\mathrm{D} ?$

Quantum Theory
Lottie Adams
01:34
Engineering Mechanics: Statics and Dynamics

A $3-\mathrm{kg}$ block is suspended from a spring having a stiffness of $k=200 \mathrm{N} / \mathrm{m}$. If the block is pushed $50 \mathrm{mm}$ upward from its equilibrium position and then released from rest, determine the equation that describes the motion. What are the amplitude and the natural frequency of the vibration? Assume that positive displacement is downward.

Vibrations
Eric Mockensturm

Energy in Simple Harmonic Motion

54 Practice Problems
View More
01:14
Physical Chemistry

Acetone dissolved in water has a maximum absorption coefficient $\epsilon$ of $20 \mathrm{L} \mathrm{mol}^{-1} \mathrm{cm}^{-1}$ at $38000 \mathrm{cm}^{-1},$ and the width of the absorption at half-maximum is about $8000 \mathrm{cm}^{-1} .$ What are the values of the integrated absorption coefficient and the oscillator strength?

Electronic Spectroscopy of Molecules
Lottie Adams
01:32
Physical Chemistry

Calculate the standard deviation for the $x$ coordinate of a harmonic oscillator at $v=1 .$ since $\langle x\rangle=0,$ it is only necessary to calculate $\left\langle x^{2}\right\rangle$.

Quantum Theory
Lottie Adams
01:31
University Physics Volume 1

Pipe $A$ has a length $L$ and is open at both ends. Pipe $B$ has a length $L / 2$ and has one open end and one closed end. Assume the speed of sound to be the same in both tubes. Which of the harmonics in each tube would be equal?

Sound
Mayukh Banik

The Simple Pendulum

32 Practice Problems
View More
04:54
University Physics Volume 1

Give an example of a simple harmonic oscillator, specifically noting how its frequency is independent of amplitude.

Oscillations
Jordan Vanevery
02:37
University Physics Volume 1

(a) If frequency is not constant for some oscillation, can the oscillation be SHM? (b) Can you think of any examples of harmonic motion where the frequency may depend on the amplitude?

Oscillations
Jordan Vanevery
07:11
Physics

A pendulum, consisting of a bob of mass $M$ on a cord of length $L$, is interrupted in its swing by a peg a distance $d$ below its point of suspension. (a) If the bob is to travel in a full circle of radius $(L-d)$ around the peg, what is the minimum possible speed it can have at the lowest point in its motion, just before it starts to go around? Ignore any decrease in the length of the string due to the peg's circumference. (b) From what minimum angle $\theta$ must the pendulum be released so that the bob attains the speed calculated in (a)?
CAN'T COPY THE FIGURE

Conservation of Energy
Keshav Singh

The Physical Pendulum

5 Practice Problems
View More
04:40
College Physics

A bowling ball weighing 71.2 $\mathrm{N}$ is attached to the ceiling by a 3.80 $\mathrm{m}$ rope. The ball is pulled to one side and released; it then swings back and forth like a pendulum. As the rope swings through its lowest point, the speed of the bowling ball is measured at 4.20 $\mathrm{m} / \mathrm{s}$ . At that instant, find (a) the magnitude and direction of the acceleration of the bowling ball and (b) the tension in the rope. Be sure to start with a free-body diagram.

Circular Motion and Gravitatio
Abhishek Jana
01:48
University Physics with Modern Physics

A holiday ornament in the shape of a hollow sphere with mass $M =$ 0.015 kg and radius $R =$ 0.050 m is hung from a tree limb by a small loop of wire attached to the surface of the sphere. If the ornament is displaced a small distance and released, it swings back and forth as a physical pendulum with negligible friction. Calculate its period. ($Hint$: Use the parallel-axis theorem to find the moment of inertia of the sphere about the pivot at the tree limb.)

Periodic Motion
The Physical Pendulum
Jilin Wang
03:10
University Physics with Modern Physics

A 1.80-kg monkey wrench is pivoted 0.250 m from its center of mass and allowed to swing as a physical pendulum. The period for small-angle oscillations is 0.940 s. (a) What is the moment of inertia of the wrench about an axis through the pivot? (b) If the wrench is initially displaced 0.400 rad from its equilibrium position, what is the angular speed of the wrench as it passes through the equilibrium position?

Periodic Motion
The Physical Pendulum
Jilin Wang

Damped Oscillations

85 Practice Problems
View More
01:32
Engineering Mechanics: Statics and Dynamics

When a $3-\mathrm{kg}$ block is suspended from a spring, the spring is stretched a distance of $60 \mathrm{mm} .$ Determine the natural frequency and the period of vibration for a $0.2-\mathrm{kg}$ block attached to the same spring.

Vibrations
Eric Mockensturm
02:14
Engineering Mechanics: Statics and Dynamics

When a 20 -lb weight is suspended from a spring, the spring is stretched a distance of 4 in. Determine the natural frequency and the period of vibration for a $10-1 \mathrm{b}$ weight attached to the same spring.

Vibrations
Eric Mockensturm
00:42
University Physics Volume 1

A sinusoidal, transverse wave is produced on a stretched spring, having a period $T$. Each section of the spring moves perpendicular to the direction of propagation of the wave, in simple harmonic motion with an amplitude
A. Does each section oscillate with the same period as the wave or a different period? If the amplitude of the transverse wave were doubled but the period stays the same, would your answer be the same?

Waves
Mayukh Banik

Motion of an Object Attached to a Spring

113 Practice Problems
View More
06:07
Engineering Mechanics: Statics and Dynamics

The uniform rod of mass $m$ is supported by a pin at $A$ and a spring at $B$. If $B$ is given a small sideward displacement and released, determine the natural period of vibration.

Vibrations
Eric Mockensturm
02:32
Engineering Mechanics: Statics and Dynamics

A $6-$ lb weight is suspended from a spring having a stiffness $k=3$ lb/in. If the weight is given an upward velocity of $20 \mathrm{ft} / \mathrm{s}$ when it is 2 in. above its equilibrium position, determine the equation which describes the motion and the maximum upward displacement of the weight, measured from the equilibrium position. Assume positive displacement is downward.

Vibrations
Eric Mockensturm
01:44
Engineering Mechanics: Statics and Dynamics

A 2 -lb weight is suspended from a spring having a stiffness $k=2$ lb/in. If the weight is pushed 1 in. upward from its equilibrium position and then released from rest, determine the equation which describes the motion. What is the amplitude and the natural frequency of the vibration?

Vibrations
Eric Mockensturm

Simple Pendulum and Physics Pendulum

15 Practice Problems
View More
01:25
Engineering Mechanics: Statics and Dynamics

The pendulum consists of a 4-kg circular plate and a 2 -kg slender rod. Determine the radius of gyration of the pendulum about an axis perpendicular to the page and passing through point $O$.

Planar Kinetics of a Rigid Body: Force and Acceleration
Ahmed Kamel
03:09
University Physics Volume 1

Pendulum clocks are made to run at the correct rate by adjusting the pendulum's length. Suppose you move from one city to another where the acceleration due to gravity is slightly greater, taking your pendulum clock with you, will you have to lengthen or shorten the pendulum to keep the correct time, other factors remaining constant? Explain your answer.

Oscillations
Jordan Vanevery
01:08
Physics: A Conceptual World View

Suppose your grandfather clock runs too fast. If the mass on the pendulum can be moved up or down, which way would you move it to adjust the clock? Explain your reasoning.

Vibrations and Waves
Manish Kumar

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started