Consider a simple harmonic oscillator of mass 0.5 kg, force constant 10 N/m and amplitude 3 cm. The maximum speed is
0.134 m/s
0.342 m/s
0.268 m/s
0.482 m/s
A
0.342 m/s
B
0.482 m/s
C
0.134 m/s
D
0.268 m/s
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Solution
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F = kx = ma
for SHM ,
x=Asinwt
=> v=Awcoswt
=> a=−Aω2sinwt
=> a=ω2x
k=mω2
k=10Nm;m=0.5kg
ω2=20;ω=√20radsec
vmax=Aω=√20×3cm=0.134ms
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