Given y 42 sin 3pi t3pi for a system vibrating in simple har

Given y= 4.2 sin (3pi t-3pi) for a system vibrating in simple harmonic motion, find the displacement y after 3.5 seconds.

Solution

substitute t=3.5 in the equation

y=4.5sin(3pi t - 3 pi)

= 3.5 Xsin(3pi(3.5-1))

=3.5 X sin (3pi(2.5))

=3.5Xsin(7.5 pi)

=- 3.4997

=- 3.5