CBSE Class 11-science Answered
.A SHM is expressed by the equation x = A cos (ωt + φ) and the phase angle φ =0. Draw graphs to show variation of displacement, velocity and acceleration for one complete curve in SHM.
Asked by sy123946 | 07 Apr, 2024, 04:23: PM
Expert Answer
Displacement y of SHM is given as
y = A cos ( ω t + φ ) .......................(1)
where A is amplitude , ω is angular frequency , t is time and φ is initial phase.
It is given that intitial phase φ = 0 .
Let y is displacement in m .
Let us consider the following values
A = 1 cm = 0.01 m and ω = 100 rad/s
Velocity v of particle that is subjected to SHM as given by eqn.(1) is
v = dy/dt = - A ω sin ( ω t + φ ) .........................(2)
Acceleration a of particle is
a = dv/dt = - A ω2 sin ( ω t + φ ) .........................(3)
Plots of Displacement , velocity and acceleration are given below ( EXCEL plots )
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Answered by Thiyagarajan K | 07 Apr, 2024, 05:36: PM
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