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 3 (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.
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 3 (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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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 3
(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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