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The figure below shows a pendulum with six points in its path that are marked. T

ID: 1529448 • Letter: T

Question

The figure below shows a pendulum with six points in its path that are marked. These points are specified by the angle the pendulum string makes with the vertical. (Note that C is vertical.) For this situation, there are TWO different rankings that you must do. First, rank the pints from greatest to least on the basis of how fast the bob is moving at that point. That is, put first the location where the bobo is going fastest, and put last the location where the bobo is going slowest. Second, rank the points from greatest to least on the basis of the force the bobo exerts on the string at each of the points. That is, put first the location where the bobo exerts the greatest force on the string, and put last the location where the bobo puts the least force on the string. Greatest Speed ___ Least Speed Or, the bob has the same speed throught its motion. ___ Greatest Force ___ Least Force Or, the bob exerts the same force throught its motion. Or, the bob does not exert a force on the string at any of these locations. Explain your reasoning. Without an explanation, the answer to the question will be deemed incomplete.

Explanation / Answer


Greatest speed :
C>D>B>E>F=A
The Energy is conserved. If you look closely the potential Energy is highest at C and Decreases as the bob moves either sides.
So the Potential Energy is highest at A and F, hence the Kinetic Energy is lowest at A and F and highest at C. THis is the reason why the velocity is zero at highest point (A and F).


Greatest Force =>
C>D>B>E>F=A
There are 2 forces acting on the bob. One is the tension and the other is the gravtitational force. The gravitational Force is same through out the motion. However the tension differs through the motion.
The tension is highest at point C and lowest at A and F.

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