PHYSICS: Oscillations, SHM, Waves (AP-Physics-1,IIT,NEET)

Name: PHYSICS: Oscillations, SHM, Waves (AP-Physics-1,IIT,NEET)
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60 Lessons | 8.4 hrs. Its covers simple harmonic motion, parallel axis theorem, Rolling kinetic energy.

Created bystudi live

Last updated 10/2021

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What you'll learn

It helps to understand the concepts of Oscillations, SHM, Waves.
It helps to solve numerical and application based questions.
It helps to improve the mark of Entrance exams.
It helps to increase understanding level.

Course content

2 sections • 70 lectures • 8h 39m total length

Periodic Motion5:43
Periodic motion, in physics, motion repeated in equal intervals of time. Periodic motion is performed, for example, by a rocking chair, a bouncing ball, a vibrating tuning fork, a swing in motion, the Earth in its orbit around the Sun, and a water wave. ... Waves that can be represented by sine curves are periodic.
Harmonic and Non-Harmonic Motion4:32
Periodic motion refers to any type of repeated motion. Simple harmonic motion refers to types of periodic motion where there is a restoring force which is proportional to the displacement. Non harmonic motion refers to any type of repeated motion.
Simple Harmonic Motion6:55
simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side.
Differential Equation of Linear SHM3:26
The differential equation for linear SHM of a particle of mass 2g is d2xdt2+16x=0.
Acceleration for SHM4:48
The acceleration of a particle executing simple harmonic motion is given by, a(t) = -ω2 x(t). Here, ω is the angular velocity of the particle.
Some Important Terms8:36
Define displacement, amplitude, mean position, and extremes in simple harmonic motion; relate time period, frequency, angular frequency, and phase to X = A sin(ωt + φ).
acceleration for SHM4:48
Free Oscillations, Damped Oscillations and Forced Oscillations6:50
Explore free oscillations where systems vibrate at their natural frequency, damped oscillations due to friction with decaying amplitude, and forced oscillations from external periodic forces that sustain motion.
Cutting of Springs4:20
Cutting a spring into parts makes each piece's constant scale with total length over its length, enabling quick calculation of k1, k2, k3 from L1, L2, L3.
Graphical representation of acceleration from extreme position8:08
Derives the acceleration in simple harmonic motion from x = a cos(omega t) starting from extreme position, shows velocity and acceleration by differentiation, and highlights values ± a omega^2.
Displacement in SHM4:28
Calculate effective acceleration due to gravity5:27
Calculate the effective gravity for a simple pendulum by resolving gravity and applied acceleration into perpendicular components to form g_eff, then use T = 2π sqrt(L / g_eff).
Different Values of displacement5:45
Explore how displacement in simple harmonic motion varies with starting position, comparing mean and extreme starts, and linking phase, amplitude, and the sine/cosine representations.
Anti parallel combination and Reduced mass system6:32
Examine anti-parallel spring configurations and the reduced mass system to derive effective constants and oscillation periods. Apply the series and reduced mass formulas to two-spring and two-mass setups.
Different values of Velocity in SHM4:20
Explore velocity values in simple harmonic motion, deriving v = ω√(a^2 − x^2) and noting maximum speed at the mean position (ωa) and zero velocity at the turning points.
Graphical representation of displacement from mean position8:40
Series Combination of Springs5:24
Explore how springs in series share force, sum their extensions, and derive the equivalent spring constant from 1/k_eq = 1/k1 + 1/k2 for multiple springs.
Graphical representation of velocity from mean position9:08
Derive velocity in simple harmonic motion by differentiating displacement, yielding v = a ω cos(ω t); the velocity graph is a cosine with max ±a ω, starting at mean position.
Graphical representation of displacement from extreme position5:46
Explore the graphical representation of displacement from the extreme position in shm, using x = A cos(omega t + phi) with amplitude A and phase zero, yielding a cosine waveform.
Graphical representation of acceleration from mean position9:36
Derives the acceleration in simple harmonic motion starting from the mean position, showing a negative sine graph, and explains plotting acceleration versus time from displacement and velocity.
Principle of Superposition of SHM3:31
Explore the principle of superposition of simple harmonic motion, showing how two oscillations combine into a resultant displacement via vector addition, with amplitude given by sqrt(X1^2+X2^2+2X1X2 cos phi) and phase difference phi.
Relation Between SHM and UCM8:37
Explore how simple harmonic motion arises from the projection of uniform circular motion, linking displacement, velocity, and acceleration with x = A cos(ωt+φ) and a = -ω^2 x.
Horizontal Spring Mass System5:11
Explore a horizontal spring-mass system demonstrating harmonic motion driven by a restoring force proportional to minus displacement. The lecture derives the time period in terms of mass and spring constant.
Graphical representation of Velocity from extreme position7:52
Parallel Combination of Springs5:47
Learn how parallel springs increase stiffness to K_eq = K1 + K2, with restoring forces F1 = K1 x and F2 = K2 x summing to drive oscillations.
Potential Energy6:32
Explore potential energy in simple harmonic motion, with U = 1/2 k x^2 and zero energy at mean position, rising to U = 1/2 m ω^2 A^2 at extremes.
How to Prove SHM5:45
Identify simple harmonic motion by locating the equilibrium position and applying a small displacement. Verify that the restoring force is proportional to minus displacement, with a constant k, confirming SHM.
Resonant oscillations and coupled oscillations5:34
Explore forced oscillations driven by an external periodic force, define resonance, and illustrate with swing and bridge examples, then introduce coupled oscillations through energy transfer between connected springs.
Oscillation of liquid in a U shaped tube5:45
Kinetic Energy5:47
Explore kinetic energy in harmonic oscillations, linking E_k = 1/2 m v^2 to v^2 = ω^2(A^2 − x^2) and noting energy at mean position is maximum and zero at extremes.

Introduction to Waves5:59
Classical waves are described as a disturbance that transfers energy from point to point in a medium. ... Space is a vacuum; there is no conducting medium in space through which light travels. Light waves still transfer energy and momentum, though, just as classical waves do.
Analytical treatment for stationary waves in a string fixed at both ends6:45
The lecture derives stationary waves on a string fixed at both ends using the superposition of two waves, one reflected with a 180-degree phase shift, revealing nodes and standing-wave patterns.
Analytical treatment of Stationary Waves11:59
Analytical treatment for formation of Beats17:01
Derive the formation of beats from the analytical superposition of two waves with slightly different frequencies traveling in the same direction, showing waxing and waning via constructive and destructive interference.
Average power in a transverse wave8:07
Application of Beats14:08
Beats are used in tuning musical instruments like sitar, violin, etc. ... In the Sonometer experiment, beats can be used to adjust the vibrating length between the two bridges. To find the frequency (N) of the given tuning fork beats can be used. Detection of harmful gases in mines.
Factors Affecting Speed of Sound - Density and Humidity.5:02
Speed of sound increases in proportion to humidity in air. Humidity has a small but significant effect on speed of sound (causing it to increase by about 0.1%-0.6%), the reason being oxygen and nitrogen molecules of the air are replaced by lighter molecules of water.
Factors Affecting wind, frequency, amplitude7:19
Explore how wind speed and direction, via the wind-sound angle, change the apparent speed of sound, and how frequency affects wavelength while amplitude remains largely constant.
Characteristics of Stationary Wave11:09
They are produced due to the interference of two identical progressive waves traveling along the same path but in opposite directions.
They move neither forward nor backward.
In a stationary wave, the energy is not transported from one point to another.
Difference between Progressive and Stationary Wave7:18
In a standing wave, the motion of the particles is non- transferrable but in a progressive wave, the motion is easily transferred to the particles in the forward direction. For stationary waves, the energy is confined within the medium while progressive wave permits propagation of energy through the medium.
Factors Affecting Speed of Sound - Temperature6:38
The lecture shows that the speed of sound in gases increases with temperature, since v is proportional to square root of temperature from ideal gas law, at 0°C and 27°C.
End correction10:14
Doppler effect12:00
The Doppler effect, or Doppler shift, describes the changes in frequency of any kind of sound or light wave produced by a moving source with respect to an observer.
Beats5:00
‘Beats’ is an interesting phenomenon arising from interference of waves. When two harmonic sound waves of close (but not equal) frequencies are heard at the same time, we hear a sound of similar frequency (the average of two close frequencies), but we hear something else also.
We hear audibly distinct waxing and waning of the intensity of the sound, with a frequency equal to the difference in the two close
frequencies. Artists use this phenomenon often while tuning their instruments with each other. They go on tuning until their sensitive ears do not detect any beats.
Characteristics of wave motion6:39
A wave motion travels at the same speed in all directions in the given medium. ... During a wave motion, energy is transferred from one point of the medium to another. There is no transfer of matter through the medium.
Energy of a transverse wave21:21
A transverse wave is a moving wave that consists of oscillations occurring perpendicular (or right angled) to the direction of energy transfer. If a transverse wave is moving in the positive x-direction, its oscillations are in up and down directions that lie in the y–z plane. Light is an example of a transverse wave.
Intensity of a transverse wave8:23
The Intensity of waves (called Irradiance in Optics) is defined as the power delivered per unit area. The unit of Intensity will be W.m-2. The wave energy comes from the simple harmonic motion of its particles. ... The quantity Aω is the maximum transverse speed of the particles, so it has m.s-1.
Displacement relation for a progressive harmonic wave8:59
Considering a plane progressive harmonic wave, the displacement of a sinusoidal wave traveling in the x-direction (positive) is mentioned below: y = a sin(kx – ωt + φ) Here, 'a' denotes the amplitude of the wave, angular wave number is denoted by 'k', whereas 'ω' is the angular frequency.
Factors Affecting Speed of Sound - Pressure4:16
n an ideal gas approximation, air pressure has no role to play in deciding the speed of sound because pressure and density both contribute to the velocity of sound equally and thus cancels each other out. Hence, Air pressure has no effect on sound speed.
Mechanical waves-Longitudinal wave7:11
Mechanical longitudinal waves are also called compressional or compression waves, because they produce compression and rarefaction when traveling through a medium, and pressure waves, because they produce increases and decreases in pressure.
Kinetic energy of a transverse wave7:47
Analyze the kinetic energy of a transverse wave on a rope, using tension and linear density to derive energy per unit displacement and compare it with potential energy.
Newton's formula5:06
Particle Acceleration6:26
Laplace correction6:58
Explore Laplace correction for the speed of sound in gases, contrasting adiabatic versus isothermal conditions, derive gamma as Cp/Cv, and connect to air properties and density.
Mechanical Waves - Transverse Wave6:47
Explore mechanical waves, focusing on transverse waves, their dependence on a material medium, crest and trough, lambda wavelength, and perpendicular vibration with examples like sound and water waves.
Phase and Phase difference7:20
Explore phase and phase difference in oscillations and waves, linking phase to time and position via angular velocity, wave number, wavelength, and crest and trough structure.
Laws of vibrating strings10:17
Explore vibrating strings fixed at both ends and learn how the fundamental frequency depends on length, tension, linear density, mass per length, and diameter through five proportional laws.
Particle Velocity5:14
Power in a transverse wave5:56
Calculate power in a transverse wave as work per unit time, linking energy, velocity, and wave parameters. Derive the energy expression using amplitude, angular frequency, and linear density.
Speed of transverse waves in a solid4:30
Vibration of an air column for a pipe closed at one end12:36
Explore vibrations of an air column in a pipe closed at one end, deriving fundamental and higher odd harmonics, nodes and antinodes, and how frequency relates to length and speed.
Relation between Particle Velocity and Wave Velocity6:12
Standing waves for string fixed at both ends12:45
Study standing waves on a string fixed at both ends, showing fundamental and higher harmonics and the relation f_n = n f1.
Speed of transverse wave on string5:36
Learn how the speed of a transverse wave on a string depends on tension and linear density, deriving v = sqrt(T/μ) and applying it to string media.
Total energy of a transverse wave6:02
Compute the total energy per unit displacement in a transverse wave by adding potential and kinetic energies per unit displacement. Apply this to strings, ropes, and wires.
Speed of longitudinal waves6:40
Explore the speed of longitudinal waves in fluids and solids, linking v to bulk modulus and density, with v = sqrt(K/ρ) for fluids and v_L = sqrt((K+4G/3)/ρ) for solids.
Types of waves7:32
Explore mechanical waves that require a medium, such as sound, and electromagnetic waves that travel in vacuum, including longitudinal and transverse modes and the role of electric and magnetic fields.
Vibrations of an air column for a pipe open at both ends10:29
What is a Standing Wave part-17:42
What is a Standing Wave part-28:59

Requirements

Should know calculus, trigonometry

Description

Description

This course is on the topic of Oscillations, SHM, Waves.

Its covers simple harmonic motion, parallel axis theorem, Rolling kinetic energy.

Course Content

Periodic motion
Harmonic and non-harmonic motion
Simple Harmonic Motion
Differential Equation of linear SHM
Acceleration for SHM
Some important terms
Velocity in SHM
Displacement in SHM
Different values of Velocity in SHM
Different Values of displacement
Relation Between SHM and UCM
Kinetic Energy
Potential Energy
Total Energy
Graphical Representation of Displacement From Extreme Position
Graphical Representation of Displacement
Graphical representation of displacement from extreme position(Reshoot)
Graphical representation of Velocity from extreme position
Graphical representation of acceleration from extreme position
Graphical representation of displacement from mean position
Graphical representation of velocity from mean position
How to Prove SHM
Horizontal Spring Mass System
Vertical Spring Mass System
Spring Mass System in Lift
Graphical representation of acceleration from mean position
Series combination of springs
Parallel combination of springs
Principle of superposition of SHM
Spring mass system in electric field
Spring mass system in liquid
Spring mass system in partially immersed liquid
Anti parallel combination and Reduced mass system
Cutting of Springs
SHM in a tunnel that passes through diameter
SHM in a tunnel at any random point
Oscillation of liquid in a U shaped tube
Simple Pendulum
SHM in a Simple Pendulum
Time period of a simple pendulum
Calculate effective acceleration due to gravity
Free Oscillations, Damped Oscillations and Forced Oscillations
Resonant oscillation and coupled oscillations

These are fantastic concepts that will lay a strong theoretical foundation for you and help you with competitive exams like IIT JEE, NEET , CET, Foundation.

Who this course is for:

Physics enthusiast.
Beginners in physics.
IIT-JEE & NEET aspirants.

PHYSICS: Oscillations, SHM, Waves (AP-Physics-1,IIT,NEET)

What you'll learn

Explore related topics

Course content

OSCILLATIONS30 lectures • 3hr 4min

Waves40 lectures • 5hr 36min

Requirements

Description

Who this course is for: