Circular Motion and Simple Harmonic Motion

These flashcards cover key concepts related to Circular Motion and Simple Harmonic Motion as discussed in the lecture.

Instantaneous Displacement

The distance of point Q from the mean position of vibrating Q along the diameter AB.

Amplitude (X₀)

The maximum displacement from the mean position in oscillatory motion.

Instantaneous Velocity (Vp)

The velocity of point Q at any instant in the circular motion or projection.

Centripetal Acceleration (ac)

The acceleration directed towards the center of the circular path at any point.

Instantaneous Acceleration (AQ)

The acceleration of projection Q at any instant, directed towards the center of the circle.

Relation between Vp and the components

Vp has two components: Vp sinθ (along x-axis) and Vp cosθ (along y-axis).

Equation for Instantaneous Displacement

Given by x = X₀ cos(ωt), where X₀ is amplitude and ω is angular velocity.

Components of Acceleration

Has two components: along x-axis and y-axis as directed towards the center of the circle.

Relationship between Angular Velocity and Acceleration

Aₖ = -xω², indicates that acceleration is directly proportional to the negative of displacement.

S.H.M

Simple Harmonic Motion, characterized by periodic motion about a mean position.