Question

An SHM is give by `y=5["sin"(3pit)+sqrt(3)"cos"(3pit)]`. What is the amplitude of the motion of y in metre ?
A. 10
B. 20
C. 1
D. 5

Answer 1

Correct Answer - A
(a) Given equation is
`y=5["sin"3pit+sqrt(3)"cos"3pit]`
or `y=5xx2[(1)/(2)"sin"3pit+(sqrt(3))/(2)"cos"3pit]`
or `y=10["sin"3pit"cos"(pi)/(3)+"cos"3pit"sin"(pi)/(3)]`
or `y=10"sin"(3pit+(pi)/(3))`