A simple harmonic motion having an amplitude A and time period T … - Vidyadip

MCQ

A simple harmonic motion having an amplitude $A$ and time period $T$ is represented by the equation : $y = 5 \sin \pi (t + 4) m$

Then the values of $A$ (in $m$) and $T$ (in $sec$) are :

✓
$A = 5; T = 2$
B
$A = 10 ; T = 1$
C
$A = 5 ; T = 1$
D
$A = 10 ; T = 2$

✓

Answer

Correct option: A.

$A = 5; T = 2$

a
Standard equation S.H.M: $y=a \sin 2 \pi(t+T)$

Given equation of SHM: $y=a \sin \pi(t+4)$

We will the above equations$:$

hence it will be written as after multiplying by $2$ at $R.H.S$

$y=a \sin 2 \pi\left(\frac{t}{2}+\frac{4}{2}\right)$

$T=2 ; A=5$

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