Question

A simple harmonic oscillator has an amplitude A and Time period T.The time period required by it to travel from x=a to x=a/2 is?
A)T/6
B)T/4
C)T/3
D)T/2

Answer 1

maybe smt like this

Answer 2

x=Asin(2 pi/T)t
for x=A..
A=Asint(2 pi/T)t
(2pi/T)t=pi/2
so..t=T/4

and..
when at x=A/2
A/2=Asin(2pi/T)t'=1/2
(2pi/T)t'=pi/6 OR 5pi/6

we discard pi/6 and proceed with 5pi/6
WHY?

Answer 3

how do you say we discard pi/6
mathematically, range of sin^-1 is from -pi/2 to pi/2 only

Answer 4

idk solution says "Neglected" to pi/6 and proceeds with 5pi/6
jab ata hai to pi/6 phase hota hai return karega to 5pi/6 hoga idk something like that no idea..

Answer 5

@Vincent-Lyon.Fr !!

Answer 6

yeah,