Instantaneous Velocity - Simple Harmonic Motion Class 11

Welcome to our new video on "Instantaneous Velocity in Simple Harmonic Motion". Have you ever wondered about the instantaneous velocity of an object in Simple Harmonic Motion (SHM)? In this video, we will explore this concept in detail and how it relates to the circular motion of an object in SHM.

Brief Description
Simple Harmonic Motion is a type of oscillatory motion that follows a specific pattern. The motion of an object in SHM can be represented by a sinusoidal curve. In this video, we will focus on the instantaneous velocity of an object in SHM, particularly in circular motion. We will examine the relationship between the velocity, displacement, and acceleration of an object in SHM and how it changes with time.

Detailed Description
In Simple Harmonic Motion, the velocity of an object changes continuously, but the magnitude of the velocity remains the same. The instantaneous velocity of an object at any point in time is the velocity at that precise moment. It is important to note that the velocity of an object in SHM is not constant. It changes continuously due to the restoring force acting on the object.

The motion of an object in SHM can be represented by a sinusoidal curve. The velocity of the object is zero at the maximum displacement and maximum velocity at the equilibrium position. The instantaneous velocity of an object in SHM is directly proportional to the displacement of the object from the equilibrium position. When the displacement is maximum, the instantaneous velocity is zero, and when the displacement is zero, the instantaneous velocity is maximum.

The relationship between the instantaneous velocity and displacement of an object in SHM can be expressed as v = ±ω√(A^2 - x^2), where v is the instantaneous velocity, x is the displacement from the equilibrium position, A is the amplitude of the motion, and ω is the angular frequency.

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Previous Videos:

Simple Harmonic Motion and Uniform Circular Motion

Instantaneous Displacement - Simple Harmonic Motion

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