40. A pendulum, comprising a light string of length L and a S small sphere, swings in the vertical plane. The string hits a peg located a distance d below the point of suspension (Fig. P8.40). (a) Show that if the sphere is released from a height below that of the peg, it will return to this height after the string strikes the peg. (b) Show that if the pendu- Peg lum is released from rest at the hor- izontal position (0 = 90°) and is to swing in a complete circle centered on the peg, the minimum value of d must be 3L/5. %3D Figure P8.40

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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40. A pendulum, comprising a light string of length L and a
S small sphere, swings in the vertical plane. The string hits
a peg located a distance d below the point of suspension
(Fig. P8.40). (a) Show that if the
sphere is released from a height
below that of the peg, it will return
to this height after the string strikes
the peg. (b) Show that if the pendu-
Peg
lum is released from rest at the hor-
izontal position (0 = 90°) and is to
swing in a complete circle centered
on the peg, the minimum value of d
must be 3L/5.
%3D
Figure P8.40
Transcribed Image Text:40. A pendulum, comprising a light string of length L and a S small sphere, swings in the vertical plane. The string hits a peg located a distance d below the point of suspension (Fig. P8.40). (a) Show that if the sphere is released from a height below that of the peg, it will return to this height after the string strikes the peg. (b) Show that if the pendu- Peg lum is released from rest at the hor- izontal position (0 = 90°) and is to swing in a complete circle centered on the peg, the minimum value of d must be 3L/5. %3D Figure P8.40
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