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In Sample Problem 12-4 (see Fig. 12-6) we concluded that the speed of the roller coaster at the bottom does not depend at all on the shape of the track. Would this still be true if friction were present?

In Sample Problem 12-4 (see Fig. 12-6) we concluded that the speed of the roller coaster at the bottom does not depend at all on the shape of the track. Would this still be true if friction were present?

Grade:11

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
8 years ago
Yes, this would still be true if friction were present.
When an object rolls without slipping, there is a frictional force exerted at the instantaneous point of contact between the object and the surface on which it rolls. However this frictional force does no work on the moving object because the point of application of the force does not move. That is, the force does not move a point on the object through some distance. Instead, the frictional force is applied first at one point on the object and then, as the object rotates, at a different point on the object. Therefore this is still true; the speed of the roller coaster at the bottom does not depend at all on the shape of the track, if friction were present.

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