The particles as shown in the figure below are connected by a very light rod. They rotate about the y axis at 1:9 rad/s. Light rod m2kg m,kg m,kg makg -40 -30 - 20 -10 10 20 30 40 x, cm (a) Find the speed of each particle, and use it to calculate the kinetic energy of this system directly from E2m;v2. speed of m, = 1 kg m/s speed of m2 = 3 kg m/s speed of m3 = 3 kg m/s speed of m4 = 1 kg m/s kinetic energy (b) Find the moment of inertia about the y axis, calculate the kinetic energy from K = ½Iw?. kg-m2 moment of inertia kinetic energy (c) Compare your result with your Part-(a) result. (Do this on paper. Your instructor may ask you to turn in your work.)

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The particles as shown in the figure below are connected by a very light rod. They rotate about the y axis at 1.9 rad/s.
Light
rod
m2kg
m;kg
m,kg
makg
-40
-30
- 20
-10
10
20
30
40
x, cm
(a) Find the speed of each particle, and use it to calculate the kinetic energy of this system directly from E2m;v2
speed of m, = 1 kg
m/s
speed of m2 = 3 kg
m/s
speed of m3 = 3 kg
m/s
speed of ma = 1 kg
m/s
kinetic energy
(b) Find the moment of inertia about the y axis, calculate the kinetic energy from K = ½I?.
moment of inertia
kg-m2
kinetic energy
(c) Compare your result with your Part-(a) result. (Do this on paper. Your instructor may ask you to turn in your work.)
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Transcribed Image Text:The particles as shown in the figure below are connected by a very light rod. They rotate about the y axis at 1.9 rad/s. Light rod m2kg m;kg m,kg makg -40 -30 - 20 -10 10 20 30 40 x, cm (a) Find the speed of each particle, and use it to calculate the kinetic energy of this system directly from E2m;v2 speed of m, = 1 kg m/s speed of m2 = 3 kg m/s speed of m3 = 3 kg m/s speed of ma = 1 kg m/s kinetic energy (b) Find the moment of inertia about the y axis, calculate the kinetic energy from K = ½I?. moment of inertia kg-m2 kinetic energy (c) Compare your result with your Part-(a) result. (Do this on paper. Your instructor may ask you to turn in your work.) eBook Type here to search
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