NCERT Class 11 Physics Solutions: Chapter 14 – Oscillations-Part 8

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Question 14.12:

Plot the corresponding reference circle for each of the following simple harmonic motions. Indicate the initial position of the particle, the radius of the circle, and the angular speed of the rotating particle. For simplicity, the sense of rotation may be fixed to be anticlockwise in every case: (

Answer:

If this equation is compared with the standard SHM equation then we get:

Amplitude,

Phase angle,

Angular velocity,

The motion of the particle can be plotted as shown in the following figure.

The motion of the particle can be plotted as shown in the fo …

Motion of the Particle with Speed 3 Rad/Sec

Loading Image

If this equation is compared with the standard SHM equation

We get,

Amplitude

Phase angle,

Angular velocity

The motion of the particle can be plotted as shown in the following figure.

The motion of the particle can be plotted as shown in the fo …

Motion of the Particle with Speed 1 Rad/Sec

Loading Image

If this equation is compared with the standard SHM equation

Then we get:

Amplitude,

Phase angle,

Angular velocity,

The motion of the particle can be plotted as shown in the following figure:

The motion of the particle can be plotted as shown in the fo …

Motion of the Particle with Speed 2pi Rad/Sec

Loading Image

If this equation is compared with the standard SHM equation then we get:

Amplitude,

Phase angle,

Angular velocity,

The motion of the particle can be plotted as shown in the following figure:

The motion of the particle can be plotted as shown in the fo …

Motion of the Particle with Speed Pi Rad/Sec

Loading Image