QUOTE(RED-HAIR-SHANKS @ Jul 24 2014, 02:30 PM)
Q1) Ali was wearing his spectacle while driving in his car. When he was about to make a turn towards a roundabout in his right direction, he felt that his spectacle was sliding towards the left. What causes the spectacle to slide in that manner?
The correct answer: Inertia. It's because the spectacle resisted the change in the direction of the car (towards going right) by sliding to the left.
Now, I've superficially learned a thing or two about centripetal force, but why centrifugal force is not the appropriate answer for the above question? ... And if we were to refer back to the question, it clearly stated that his spectacle was sliding towards the left when Ali was about to make a turn towards the roundabout, which is in his right. It makes a perfect sense to me but why the answer is not centrifugal force, but instead it is inertia? Where did I go wrong?
Quite incorrect. The inertia does not cause Ali’s glasses suddenly slid toward the opposite direction (left) of car's heading direction (right), as if there was a hidden repulsive force. That's an ILLUSION! The correct answer: Inertia. It's because the spectacle resisted the change in the direction of the car (towards going right) by sliding to the left.
Now, I've superficially learned a thing or two about centripetal force, but why centrifugal force is not the appropriate answer for the above question? ... And if we were to refer back to the question, it clearly stated that his spectacle was sliding towards the left when Ali was about to make a turn towards the roundabout, which is in his right. It makes a perfect sense to me but why the answer is not centrifugal force, but instead it is inertia? Where did I go wrong?
While the car moves in the circular arc at the roundabout, it is in uniform circular motion; that is, it has an acceleration that is directed toward the center of the roundabout. By Newton’s 2nd law, a force must cause this acceleration. Moreover, the force must also be directed toward the center of the roundabout. Thus, it is a centripetal force, which means center-seeking force, where the adjective indicates the direction. The centripetal force, in this case, is provided by the friction between the road and the car’s tires.
Because Ali drove the car, naturally, we assume that he strapped the seat belt on his car’s seat that held him firmly in the seat. This assumption is critical or else, Ali will slide across the seat toward the left and then jam against the car wall for the rest of the turn. Since Ali was wearing his glasses when he turned right, rounding the roundabout, and if his glasses was to move in uniform circular motion along with the car, there must also be a centripetal force on his glasses.
However, apparently the frictional forces on Ali’s glasses from his nose-bridge and ears were not great enough to make his glasses go in a circle with the car. The dirt and oil on Ali’s face could have affected the frictional force. Thus, Ali’s “face” slid beneath his glasses, until he pushes it up with his forefinger so that the frames sit rightly on the top of his nose. Then, the push that Ali provided the needed centripetal force on the glasses allows his glasses to join the car’s uniform circular motion.
If Ali does not attempt to prevent his glass from sliding to his left as he turns right, however, there won’t be a centripetal force acting on his glasses, which would slide off in the direction that is tangent to the circle due to it inertia (according to Newton’s 1st law). This gives Ali the sensation of his glasses slid toward his left. In fact, to a stationary observer, Ali’s glasses are sliding off in a straight line until it jams up against the left wall of the car. The centripetal force from the car wall is required to push the glasses inward along the car’s uniform circular path.

This post has been edited by Critical_Fallacy: Jul 25 2014, 04:51 AM
Jul 25 2014, 04:02 AM
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, as question 2(a) is correlated with the first question about
, where it's stated that n=1,2,3,...,8.
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