Please help. I'm having difficulty with this problem. My book offers an answer but no explanation. Thanks for helping. I have the answer if you guys want it.
Note that the wave is moving to the right. Hence, translate the whole curve slightly to the right to determine where point P will eventually be.
Yes, but doesn't each point on the wave maintain it's position in the positive x direction? It's only the y component of each point which changes. Anyone else have any idea?
Yes, the point P oscillates only in the y direction, so as the wave moves to the right, will point P move up or down? ~H
This question actually somewhat ambiguous, and as such the OP might get the wrong advice and answer. Depending on how you interpret "point P", your answer will be different! a] Point P is a physical point on the rope. b] Point P is an imaginary point on the wave. Pizzasky interpreted it as a], but others interpreted it as b]. I'm am 99.9% certain a] is correct. So, yes, follow Kudos and Hoot's guidance.
The OP said they have the correct answer, it would be helpful if he/she could post it to clear the matter up. But I agree with Dave, it is an ambiguous question, I was assuming point P is a physical point on the wave. ~H
OK. That clears up what they're asking. Point P is a physical point on the rope. Pretend it's a spot of paint. Now, as the wave travels down the rope, how will that spot of paint move? Think of this: the rope is tied off the right side to a lamppost. Your friend is off to the left, holding the rope, waving it up and down, creating the wave. (Note that the rope does not actually go anywhere - he can wave all he wants, but the rope will remain in our field of vision). NOW what will the spot of paint do?