A dumbbell consists of two 0.2-meter diameter spheres, each with a mass of 40 kg, attached to the ends of a 0.6-meter-long, 20 kg slender rod. .2 m .3 m .3 m .2 m 40 kg 20 kg 40 kg Figure 4 (a) Find out the moment of inertia of the dumbbell about the y axis and compare it with the moment of inertia about the z axis as shown in the figure. (b) Find out the moment of inertia of the dumbbell about the x axis. (c) Find out the moment of inertia of the dumbbell if the axis of rotation passes through the center of either of the spheres and perpendicular on the slender rod.

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4. A dumbbell consists of two 0.2-meter diameter spheres, each with a mass of 40 kg,
attached to the ends of a 0.6-meter-long, 20 kg slender rod.
.2 m
.3 m
.3 m
.2 m
40 kg
20 kg
40 kg
Figure 4
(a) Find out the moment of inertia of the dumbbell about the y axis and compare
it with the moment of inertia about the z axis as shown in the figure.
(b) Find out the moment of inertia of the dumbbell about the x axis.
(c) Find out the moment of inertia of the dumbbell if the axis of rotation passes
through the center of either of the spheres and perpendicular on the slender
rod.
Transcribed Image Text:4. A dumbbell consists of two 0.2-meter diameter spheres, each with a mass of 40 kg, attached to the ends of a 0.6-meter-long, 20 kg slender rod. .2 m .3 m .3 m .2 m 40 kg 20 kg 40 kg Figure 4 (a) Find out the moment of inertia of the dumbbell about the y axis and compare it with the moment of inertia about the z axis as shown in the figure. (b) Find out the moment of inertia of the dumbbell about the x axis. (c) Find out the moment of inertia of the dumbbell if the axis of rotation passes through the center of either of the spheres and perpendicular on the slender rod.
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