posted by jake .
Which one of the following statements about an object performing Simple Harmonic Motion is TRUE?
a. The object reaches its maximum speed as it passes through the equilibrium point.
b. The object’s velocity is never zero.
c. The object has a constant velocity.
d. The object has a maximum magnitude of acceleration at the equilibrium point.
e. When the object’s velocity has its most negative value, then the acceleration has a maximum magnitude.
x = a sin wt
v = a w cos wt
a = -a w^2 sin wt = -w^2 x
F = m a = -kx
when x = 0, equilibrium , sin wt = 0 and cos wt is 1. That is max velocity
when w t = pi/2, cos wt = 0 so v = 0
v = a w cos wt which is certainly not constant
a = -a w^2 sin wt = -w^2 x which is 0 when x = 0
v = a w cos wt max negative at t = 0
but then sin wt = 0 so acceleration is zero