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 1 
Physics 112  HW #13 Solutions
Spring 2006
13.2
[Oscillator]
a)
The amplitude is 0.12m,
b)
the period T will be 2x 0.8s= 1.6 s,
and
c)
the frequency is 1/T=0.625 Hz
13.4
[Graph]
Reading off the graph, we find that a) the
frequency is 0.5Hz,
b) the amplitude is 0.2m, and c) the period
is 2.0s.
13.27
[Energy in SHM]
(a) E
tot
= K + U =
½
mv
2
+
½
kx
2
=
½
[(0.150 kg)(0.300 m/s)
2
+
(300 N/m)(0.0120 m)
2
] = 2.84 x 10
2
J
(b)
½
k x
m
2
= E
tot
, so x
m
=
2E
tot
k
=
2( 2.84 x 10
2
J )
300 N/m
= 1.38 cm
(c)
½
m v
m
2
= E
tot
, so v
m
=
2E
tot
m
=
2( 2.84 x 10
2
J )
0.150 kg
= 0.615 m/s
13.71
[SHM of Butcher’s Scale]
(a) First we need to know the speed v
1
of
the steak just before it hits the scale. Let
mass of steak be M =2.20 kg and mass of
pan be m = 0.200 kg.
Let speed of steak just before it hits pan be
v
1
.
Energy is conserved as steak falls:
½
Mv
1
2
= Mgh
v
1
=
2gh =
2(9.81 m/s
2
)(0.40 m)
= 2.80 m/s
Next we need to know the speed v
2
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This homework help was uploaded on 04/21/2008 for the course PHYS 1112 taught by Professor Leclair,a during the Fall '07 term at Cornell University (Engineering School).
 Fall '07
 LECLAIR,A
 Physics, mechanics

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