Question
A body moving with simple harmonic motion in a straight line has a velocity V and acceleration A, when the instaneous displacement X in cm from it maximum position is given by X is equal to 2.5sin0.4"t were t is in second, determine the magnitude of maximum velocity and determine the maximum velocity?
Answers
if x = A sin w t
then
v = dx/dt = A w cos w t
and
a = d^2x/dt^2 = -A w^2 sin w t = -w^2 x
then
v = dx/dt = A w cos w t
and
a = d^2x/dt^2 = -A w^2 sin w t = -w^2 x