A cylinder with mass m-6.67kg and radius r-0.2m is suspended from a looped cord as shown. One end of the cord is attached directly to the ceiling's rigid support, and the other end is attached to a spring with a constant k=10N/m. -a) Write down a general formula for the angular frequency. -b) Calculate the period and natural frequency of the vibrations of the cylinder using the above

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r=.2m
www.
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k=10N/m
mass=6.67kg
Transcribed Image Text:r=.2m www. O k=10N/m mass=6.67kg
A cylinder with mass m-6.67kg and radius r-0.2m is suspended from a looped cord as shown.
One end of the cord is attached directly to the ceiling's rigid support, and the other end is
attached to a spring with a constant k=10N/m.
-a) Write down a general formula for the angular frequency.
-b) Calculate the period and natural frequency of the vibrations of the cylinder using the above
information.
Transcribed Image Text:A cylinder with mass m-6.67kg and radius r-0.2m is suspended from a looped cord as shown. One end of the cord is attached directly to the ceiling's rigid support, and the other end is attached to a spring with a constant k=10N/m. -a) Write down a general formula for the angular frequency. -b) Calculate the period and natural frequency of the vibrations of the cylinder using the above information.
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