You visited us 268 times! Enjoying our articles? Unlock Full Access!

Simple Harmonic Oscillation

Out of the fo...

Question

Out of the following functions representing motion of a particle which represent S.H.M?
$I . y = s i n ω t - c o s ω t$
$I I . y = s i n^{3} ω t$
$I I I . y = 5 c o s (\frac{3 π}{4} - 3 ω t)$
$I V . y = 1 + ω^{2} t^{2} + ω t$

Only

(I V)

does not represent S.H.M.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(I)

and

(I I I)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(I)

and

(I I)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Only

(I)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $(I)$ and $(I I I)$
Simple harmonic motions are periodic motions whose displacements can be represented as the linear sum of $s i n$ and $c o s$ functions.

Only $I$ and $I I I$ satisfy the criteria.

Suggest Corrections

Similar questions

I . y = s i n ω t - c o s ω t

I I . y = s i n^{3} ω t

I I I . y = 5 c o s (\frac{3 π}{4} - 3 ω t)

I V . y = 1 + ω^{2} t^{2} + ω t

S H M

y = sin ω t - cos ω t

y = {sin}^{3} ω t

y = 5 cos (\frac{3 π}{4} - 3 ω t)

y = 1 + ω t + ω^{2} t^{2}

I . y = s i n ω t - c o s ω t

I I . y = s i n^{3} ω t

I I I . y = 5 c o s (\frac{3 π}{4} - 3 ω t)

I V . y = 1 + ω^{2} t^{2} + ω t

x = s i n^{3} ω t

x = 1 + ω t + ω^{2} t^{2}

x = c o s ω t + c o s 3 ω t + c o s 5 ω t

x = s i n ω t + c o s ω t

y = {sin}^{3} ω t

Join BYJU'S Learning Program