Chapter 13 Solutions - Mosinee School District

Chapter 13
2
3 m
2
3 m k
2
3A
x vmax
A
4 k 4 k m 4
2
or
x
A 3
2
(b)
If the elastic potential energy is PE s = E/2, we have
1 1 1
2 2 2
kx2 kA
2
or
A
2
2
x
2
and
x
A
2
13.31 (a) At t = 3.50 s,
F kx N
rad
5.00 (3.00 m) cos 1.58 (3.50 s) 11.0 N
m
s
,
or
F
11.0 N directed to the left
(b)
The angular frequency is
k
m
5.00 N m
2.00 kg
1.58 rad s
and the period of oscillation is
2 2
T 3.97 s .
1.58 rad s
Hence the number of oscillations made in 3.50 s is
N
t
T
3.50 s
3.97 s
0.881
13.32 (a)
k
F
x
7.50 N
3.00 10
-2
m
250 N m
(b)
k
m
250 N m
0.500 kg
22.4 rad s
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