Solution Found!
A pendulum consists of a small bob of mass m attached to a
Chapter , Problem 101(choose chapter or problem)
A pendulum consists of a small bob of mass m attached to a string of length L. The bob is held to the side with the string horizontal (see Figure 7-56). Then the bob is released from rest. At the lowest point of the swing, the string catches on a thin peg a distance R above the lowest point. Show that R must be smaller than 2L/5 if the string is to remain taut as the bob swings around the peg in a full circle.
Questions & Answers
QUESTION:
A pendulum consists of a small bob of mass m attached to a string of length L. The bob is held to the side with the string horizontal (see Figure 7-56). Then the bob is released from rest. At the lowest point of the swing, the string catches on a thin peg a distance R above the lowest point. Show that R must be smaller than 2L/5 if the string is to remain taut as the bob swings around the peg in a full circle.
ANSWER:Step 1 of 4
At the peg, the velocity of the small bob is while it travels in a circular path. According to the problem, the string has to remain taut, hence at the point wherein the bob is at the top of the peg circular path, the tension must always be greater than zero. At this point only the force of gravity causes the centripetal acceleration.