The figure below shows a disc, that is in contact with a larger half disc and able to swing on a link arm. Calculate the natural frequency of vibration of the smaller disc (of radius r rolling back and forth outside the larger disc (of radius R Assume that the outside disc rolls without slipping and has a mass of m 15 kg. the radius ofr 0.03 m, and the mass moment of inertia of for about its centre, C Also suppose the mass of the link connecting the centre of the outside disc, O, to the pivot point A is negligible and assume R 2r, where R is the radius of larger half-disc. Take g-9.81 m² massless 1.05 Hr 0.83Hz 136 Hz 0.74 Hz 2.35 Hr m

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter5: Three-dimensional Equilibrium
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Problem 5.15P: In Sample Problem 5.5, determine Oy with one scalar equilibrium equation.
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The figure below shows a disc, that is in contact with a larger half disc and able to swing on a link arm. Calculate the natural frequency of vibration of the smaller disc (of radius r)
rolling back and forth outside the larger disc (of radius R
Assume that the outside disc rolls without slipping and has a mass of m 15 kg. the radius of r 0.03 m, and the mass moment of inertia of for about its centre, O
Also suppose the mass of the link connecting the centre of the outside disc. O, to the pivot point A is negligible and assume R=2r, where R is the radius of larger half-disc. Take
g=9.81 m/s²
massless
R
105 Hz
063Hz
136 Hz
0.74 Hz
2.35 Hz
m
Transcribed Image Text:The figure below shows a disc, that is in contact with a larger half disc and able to swing on a link arm. Calculate the natural frequency of vibration of the smaller disc (of radius r) rolling back and forth outside the larger disc (of radius R Assume that the outside disc rolls without slipping and has a mass of m 15 kg. the radius of r 0.03 m, and the mass moment of inertia of for about its centre, O Also suppose the mass of the link connecting the centre of the outside disc. O, to the pivot point A is negligible and assume R=2r, where R is the radius of larger half-disc. Take g=9.81 m/s² massless R 105 Hz 063Hz 136 Hz 0.74 Hz 2.35 Hz m
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