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(a) at the mean position,
(b) at the maximum stretched position, and
(c) at the maximum compressed position.
In what way do these functions for SHM differ from each other, in frequency, in amplitude or the initial phase
Asked by Tanay Last Modified
Answer 
Harshit Bhardwaj
(a) x = 2sin 20t
(b) x = 2cos 20t
(c) x = –2cos 20t
The functions have the same frequency and amplitude, but different initial phases.
Distance travelled by the mass sideways, A = 2.0 cm
Force constant of the spring, k = 1200 N m–1
Mass, m = 3 kg
Angular frequency of oscillation:
= 20 rad s–1
(a) When the mass is at the mean position, initial phase is 0.
Displacement, x = Asin ωt
= 2sin 20t
(b) At the maximum stretched position, the mass is toward the extreme right. Hence, the initial phase is
.
Displacement,
= 2cos 20t
(c) At the maximum compressed position, the mass is toward the extreme left. Hence, the initial phase is
.
Displacement,
= –2cos 20t
The functions have the same frequency
and amplitude (2 cm), but different initial phases
.
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