5BL Pre-Lab 4 Submission Template - F23
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University of California, Los Angeles *
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5B
Subject
Physics
Date
Jan 9, 2024
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5
Uploaded by BarristerDinosaurMaster1059
5±L Pre-Lab 4 ²ssignment
[Sama Suliman], [10/29/2023], [Lab °1]
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#jALINKkjJ_fgNK AkjkjVSTQ]\NK]ml
°
1. ² hanging spring is stretched by 0.2 m when a mass of 0.5 kg is attached to it. The mass is then pulled down a
further 0.1 m and released from rest.
a)What is the angular frequency of the resulting oscillations? Show your work.
b)³ow many seconds does it take for the system to go through exactly 10 complete oscillations? Show your work.
g= 10m/s^2
mg= kx
0.5*10=k*0.2
k=25N/m
w'#"$ sqrt ±°²³´µ²¶
w'#"$!µ´! rad³s
;Ten 6Oscillations
t'#"$´µ"# ·¸´
t'#"$"µ# sec
One Oscillation
T=2(pi/w)
T= 2*(pi/7.07)
T=0.89s
¹
2. Taking y = 0 as the initial equilibrium position of the mass in Question 1, and y > 0 upwards, write down an equation
for the time dependence y(t), giving the numerical values of any constants in the solution.
m=0.5
g=9.8m/s^2
x=0.2
k=mg/x
k=0.5*9.8/0.2
k=24.5 N/m
²mplitude of Oscillation a=0.1m
w'#"$ ±k³m¶^½
w'#"$ ±°ºµ²³´µ²¶^½
w'#"$ ! rad³sec
y±t¶'#"$ a :Sin±w·t»pi³°¶
y±t¶'#"$ ´µ¸ · :Sin±!·t»pi³°¶
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