1) A 0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f= 3.185 Hz. At a position x, the object has a kinetic energy of 0.7 J and a potential energy 0.3J. The amplitude of oscillation, A, is: f=3.18 sH 8 KE = 0.15 (a) 0.12 m (b) 0.22 m (c) 0.31 m PE =0.3J. (d) 0.42 m A = 1:
1) A 0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f= 3.185 Hz. At a position x, the object has a kinetic energy of 0.7 J and a potential energy 0.3J. The amplitude of oscillation, A, is: f=3.18 sH 8 KE = 0.15 (a) 0.12 m (b) 0.22 m (c) 0.31 m PE =0.3J. (d) 0.42 m A = 1:
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1) A 0.1 kg object oscillates as a simple harmonic motion along the x -axis with a
frequency f = 3.185 Hz. At a position x,, the object has a kinetic energy of 0.7 J and a
potential energy 0.3 J. The amplitude of oscillation, A, is:
f- 3.18 sH 3
(a) 0.12 m
m=0.l Ka
(b) 0.22 m
KE= 0.78
PE =0.3J.
(c) 0.31 m
(d) 0.42 m
A -7:
E= XE +PE = o.7+ 0.3 =1J= KA".
=> A?=
2-2
K
m=0.22
K = mw? = (0.1)(20) * : 40.
=>
w : 20 radls
2) A block of mass m is attached to a spring with force constant, k and oscillate at a frequency
f. If the mass is changed to m' = m/2, and the spring force is changed to k' = 2k, then the
new frequency f' of the oscillation would be,
(a)f = 2f /
m'- m
K': 2K
(b)f = f
(c)f' = f/2
(d)f" = 4f
wiVE =
= 2 w.
in =
The following given is for questions 3 and 4:
A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and set to
oscillates on a frictionless horizontal surface. At time t = 0 its position is xo = 0 and its velocity is
vo = +5 m/s.
3) Which of the following is true about the oscillation amplitude and the phase constant, 9:
(a) A = 0.5, 0 = /2
(b)A = 0.5, @ =- a/2
(c) A = 0.25, o = a/2
し。-Sm/s
(d)A = 0.25, 9=-x/2
to
(origin) v = Vanx = v,: Aw = A K
o =X
A
200 -) 5= 1
%3D
m .
1(4) = Aconlwr+6)
x o) = A col4).
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