SHMHard
Question
Out of the following function representing motion of a particle which represents SHM
(1) y = sin ωt - cosωt
(2) y = sin3ωt
(3) y = 5 cos
(4) y = 1 + ωt + ω2t2
(1) y = sin ωt - cosωt
(2) y = sin3ωt
(3) y = 5 cos
(4) y = 1 + ωt + ω2t2
Options
A.Only (1)
B.Only (4) does not represent SHM
C.Only (1) and (3)
D.Only (1) and (2)
Solution
y = sinωt - cosωt
It represents a SHM with time period, T =
y = 5 cos
= y = 5 cos
[∵ cos ( - θ = cos θ]
It represents a SHM with time period, T =
y = 1 + ωt + ω2t2
It represented a non-periodic motion. Also it is not physically acceptable as the y → ∞ as t → ∞.
It represents a SHM with time period, T =
y = 5 cos
= y = 5 cos
[∵ cos ( - θ = cos θ] It represents a SHM with time period, T =
y = 1 + ωt + ω2t2
It represented a non-periodic motion. Also it is not physically acceptable as the y → ∞ as t → ∞.
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