SATHEE: Oscillations - Result Question 8

Oscillations - Result Question 8

11. Out of the following functions, representing motion of a particle, which represents SHM?

(A) $y = \sin ω t - \cos ω t$

[2011]

(B) $y = \sin^{3} ω t$

(D) $y = 1 + ω t + ω^{2} t^{2}$

(a) Only (A)

(b) Only (D) does not represent SHM

(d) Only (A) and (B)

Show Answer

Answer:

Correct Answer: 11. (c)

Solution:

(c) Only functions given in (A) & (C) represent SHM. $y = A \sin ω t + B \cos ω t \Rightarrow y = a \sin (ω t + ϕ)$ . This is also a equation of S.H.M where $ϕ = \sqrt{A^{2} + B^{2}}$

$A = a \cos ϕ, B = a \sin ϕ$ and $θ = \tan^{- 1} \frac{B}{A}$

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Oscillations - Result Question 8

11. Out of the following functions, representing motion of a particle, which represents SHM?

Answer:

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