The graph of velocity against displacement of a body is shown
below.
a) Explain why there are two values of velocity
for zero displacement.
b) Explain why there are two values of
displacement for zero velocity.
c) Using the maximum value of the velocity,
determine the period of oscillation.
[when x =0, v =8(moving right) or -8(moving left),when v =0 , x = -2(at left) or 2(at right),1.6]
a)
An oscillating body moves through the equilibrium position
(zero displacement) alternately in opposite directions.
b) An oscillating body has zero velocity when
its displacement is maximum which occurs at the maximum amplitude positions. Hence,
there are 2 values of displacement.
c) vo = xo ω
(8.0) = (2.0) ω
ω = 4.0 rad/s
thus
T = 1.57 s = 1.6 s (to 2 s.f.)