A pendulum of length L. A ball that practically carries all the weight pendulum, has a velocity of velocity v1 at the moment when the cord makes an angle \phi_1 with the vertical direction. a) Derive the relation for the velocity of the ball at the lowest point of its trajectory (\phi = 0deg). What is the smallest possible value of velocity v1 for the pendulum to b) reach a position in which the massless cord is in horizontal position \phi=90deg, c) pass the highest point above the pivot so that the cord does not kink (\phi = 180deg+)?

A pendulum of length L. A ball that practically carries all the weight pendulum, has a velocity of velocity v1 at the moment when the cord makes an angle \phi_1 with the vertical direction. a) Derive the relation for the velocity of the ball at the lowest point of its trajectory (\phi = 0deg). What is the smallest possible value of velocity v1 for the pendulum to b) reach a position in which the massless cord is in horizontal position \phi=90deg, c) pass the highest point above the pivot so that the cord does not kink (\phi = 180deg+)?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 37PQ

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