NCERT solution Class 11 oscillations

NCERT Solutions

Class 11 Physics

Oscillations

NCERT Questions

Q. 13.1
Q. 13.2
Q. 13.3
Q. 13.4
Q. 13.5
Q. 13.6
Q. 13.7
Q. 13.8
Q. 13.9
Q. 13.10
Q. 13.11
Q. 13.12
Q. 13.13
Q. 13.14
Q. 13.15
Q. 13.16
Q. 13.17
Q. 13.18
Q. 14.7
Q. 14.8

Q. 13.12

Plot the corresponding reference circle for each of the following simple harmonic motions. Indicate the initial (t =0) 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: (x is in cm and t is in s).

(a) x = –2 sin (3t + π/3)

(b) x = cos (π/6 – t)

(d) x = 2 cos πt

x = -2 sin(3t + (π/3))

= + 2 cos (3t + (π/3) + (π/3))

=2 cos (3t + ((5π/6))

Comparing the above equation with the standard SHM equation

x = A cos ((2 πt)/T + ϕ), then

Amplitude A = 2cm

Phase angle ϕ = (5π/6) = 150⁰

Angular velocity ω, = (2π/T) = 3 rad/sec

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

x= cos ((π/6) – t) = cos (t – (π/6))

Comparing the above equation with the standard SHM equation

x = A cos ((2 πt)/T + ϕ), then

Amplitude A = 1cm

Phase angle ϕ= - (π/6) = -30⁰

Angular velocity ω = (2π/T) = 1 rad/sec

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

x= 3 sin ((2π/T) + (π/4))

= -3 cos [(2πt + (π/4)) + (π/2)]

=-3cos (2πt + (3π/4))

Comparing the above equation with the standard SHM equation

x = A cos ((2 πt)/T + ϕ), then

Amplitude, A = 3 cm

Phase angle, ϕ = (3 π /4) = 135°

Angular velocity, ω = (2π/T) = 2π rad/sec

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

Comparing the above equation with the standard SHM equation

x = A cos ((2 πt)/T + ϕ), then

Amplitude, A = 2 cm

Phase angle, Φ = 0

Angular velocity, ω = π rad/s

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

Video solution:

Oscillations Class 11 Physics NCERT Chapter 13 NCERT Solutions

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NCERT solutions of Oscillations Class 11 Physics - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 11 Physics Oscillations NCERT solutions.