Problem 19.2. A weight is attached to a spring
suspended from a beam. At time t = 0. it
is pulled down to a point 10 cm above the
ground and released. After that, it bounces up
and down between its minimum height of 10
cm and a maximum height of 26 cm, and its
height h(t) is a sinusoidal function of time t.
It first reaches a maximum height 0.6 seconds
after starting.
(a) Follow the procedure outlined in this
section to sketch a rough graph of h(t).
Draw at least two complete cycles of the
oscillation, indicating where the maxima
and minima occur.
(b) What are the mean, amplitude, phase
shift and period for this function?
(c) Give four different possible values for
the phase shift.
(d) Write down a formula for the function
h(t) in standard sinusoidal form; i. e. as
in 19.1.1 on Page 254.
(e) What is the height of the weight after
0.18 seconds?
(1) During the first 10 seconds, how many
times will the weight be exactly 22 cm
above the floor? (Note: This problem
does not require inverse trigonometry.)