A 2.0 kg block is hung from a vertical spring and stretches 20.0 cm. Then it is

Question

A 2.0 kg block is hung from a vertical spring and stretches 20.0 cm. Then it is pulled 3cm further, what is this frequency, period, max velocity, and angular velocity? A 2.0 kg block is hung from a vertical spring and stretches 20.0 cm. Then it is pulled 3cm further, what is this frequency, period, max velocity, and angular velocity? A 2.0 kg block is hung from a vertical spring and stretches 20.0 cm. Then it is pulled 3cm further, what is this frequency, period, max velocity, and angular velocity?

Explanation / Answer

spring constant k=mg/x=2*10/0.2=100 N/m

angular velocity w=sqrt(k/m)=sqrt(100/2)=7.07 rad/sec

frequency f=w/2*pi=7.07/2*3.14=1.126 Hz

time period T=1/f=0.89 sec

maximim velocity v max=Aw

here amplitudeA=0.23 m

vmax=0.23*7.07=1.626 m/sec

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