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
Which one of the following statements about an object performing Simple Harmonic Motion is TRUE?
Select one:
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.
1 answer
1 answer