Probs50-53[1]

# Probs50-53[1] - Chapter 14.5 Numbers 50-53 Background on...

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Sheet1 Page 1 Chapter 14.5 Numbers 50-53 Background on tangential and normal acceleration When dealing with motion around a circle or loop in 2 or more dimensions, the concept of acceleration can be more difficult than what used to. One example of this is when an object, lets youhre

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Sheet1 Page 2 say a car, travels around a circular loop at a constant speed. We have that the velocity vector v has a constant magnitude c, or that ||v|| Err:520 c With this being said, it would seem that the car, whose speed is not changing, should have an acceleration
Sheet1 Page 3 vector of < 0, 0, 0 >. This TRUE however, because while the magnitude of v changing, the direction is (the car has to keep turning the wheel to stay on the road). For this reason, the decomposition of the acceleration into a vector that points in the isnht isnht

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Sheet1 Page 4 direction of T and another vector that points in the direction of N is useful. If we write a Err:520 aT * T + aN * N -1 then aT is the scalar acceleration component around the track and aN is the scalar acceleration component towards the center
Sheet1 Page 5 of the track. In

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Probs50-53[1] - Chapter 14.5 Numbers 50-53 Background on...

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