ball a, of mass ma, is connected to ball b, of mass mb, by a massless rod of length l. (figure 1)the two vertical dashed lines in the figure, one through each ball, represent two different axes of rotation, axes a and b. these axes are parallel to each other and perpendicular to the rod. the moment of inertia of the two-mass system about axis a is ia, and the moment of inertia of the system about axis b is ib. it is observed that the ratio of ia to ib is equal to 3: iaib

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23-11-2022
Physics

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ball a, of mass ma, is connected to ball b, of mass mb, by a massless rod of length l. (figure 1)the two vertical dashed lines in the figure, one through each ball, represent two different axes of rotation, axes a and b. these axes are parallel to each other and perpendicular to the rod. the moment of inertia of the two-mass system about axis a is ia, and the moment of inertia of the system about axis b is ib. it is observed that the ratio of ia to ib is equal to 3: iaib

Answer :

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tutorconsortium271 tutorconsortium271 · Answer 1 · 2022-11-26T02:23:46-05:00

Moment of inertia, a measure of a body's resistance to having the speed of its rotation about in an axis changed by the administration of a torque, is the inertia of a body's rotation.

What does inertia mean in its simplest form?

The ability of matter to oppose changes in direction, speed, and/or velocity is known as inertia. The first law states that unless an outside force acts on an item, it will continue to move at a certain speed.

What is an example of inertia?

Upon being battered, the mat releases dust. falling forward when abrupt breaks are applied in transit. When the tree is shaken violently, the leaves fall off. Artificial satellites continue to orbit in a circular motion due to inertia.

Briefing:

Consider the expression of moment of inertia.

I=mL2

I=is the moment of inertia

m=is the mass

L=is the length

Therefore, the ratio of masses of the two balls is ma/mb=1/3

Therefore, the center of mass from the origin is Xcm=3/4L

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