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Assertion (A): Ball bearings will be unable to serve their purpose if we ​replace the spheres with cubes.​Reason (R): Ball bearings replace sliding friction with rolling friction.

Question

Assertion (A): Ball bearings will be unable to serve their purpose if we ​replace the spheres with cubes.​Reason (R): Ball bearings replace sliding friction with rolling friction.

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Solution

Assertion (A) is true because ball bearings are designed to reduce friction and facilitate smooth motion in machinery. They do this by replacing sliding friction with rolling friction. The spherical shape of the balls is crucial to this function because spheres have the smallest possible contact area with the surfaces they roll on, which minimizes friction.

If we were to replace the spheres with cubes, the bearings would not work as intended. Cubes, unlike spheres, have edges and corners. These would create more contact area with the surfaces they roll on, which would increase friction rather than reduce it. This would defeat the purpose of using bearings in the first place.

Reason (R) is also true and it is the correct explanation for Assertion (A). The purpose of ball bearings is to replace sliding friction with rolling friction, and this is only possible because of the spherical shape of the balls. If the balls were replaced with cubes, the bearings would not be able to fulfill this purpose. Therefore, Assertion (A) is true and Reason (R) is the correct explanation for it.

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