At which point is the velocity the greatest?
2 answers:
Answer:
a) The velocity is maximum at B.
b) The velocity is 0 at C and A.
c) The acceleration will be 0 at B
d) The acceleration is maximum at C and A.
Explanation:
In the attached image, we can see two sketches the first one is based on the principle os energy conservation and we can appreciate easily when the velocity is the greatest and when it will be 0.
In points A and C we have the maximum potential energy because the pendulum is at the highest elevation with respect to the reference point. And when the pendulum is in point B all the potential energy had been transformed into kinetic energy and therefore we will have the maximum velocity at this point.
For the acceleration analysis, we see the second sketch, this one is showing a free body diagram of the pendulum when it is forming a theta angle with respect to the vertical plane. And applying Newton's second law and contemplating the forces that are acting over the pendulum we have the equation showed in the image.
This equation shows that the acceleration which has the same direction as the velocity depends on the sin(theta) and we know that the equation will be zero (0) when the angle theta is 0. It means the acceleration will be 0 at point B. And maximum at points C and A.
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