A small mass executes linear SHM about O with amplitude a and period T. Its displacement from O at time T / 8 after passing through O is

Question

A small mass executes linear SHM about O with amplitude a and period T. Its displacement from O at time T / 8 after passing through O is (A) a / 8 (B) a / 2 √2 (C) a / 2 (D) a / √2

Tardigrade Admin · Accepted Answer

x=a sin ω t x=a sin (2 π/T) × (T/8) or x=a sin (π/4)=(a/√2)

Q. A small mass executes linear SHM about $O$ with amplitude $a$ and period $T$ . Its displacement from $O$ at time $T /8$ after passing through $O$ is

$a /8$

$a /2 2$

$a /2$

$a / 2$

$x = a sin ω t$
$x = a sin \frac{2 π}{T} \times \frac{T}{8}$
or $x = a sin \frac{π}{4} = \frac{a}{2}$

Q. A small mass executes linear SHM about O with amplitude a and period T. Its displacement from O at time T/8 after passing through O is

a/8

a/22​

a/2

a/2​