• VP3. A pendulum, comprising a light string of length L and a small sphere, swings in the vertical plane. The string hits a peg located a distance d below the point of suspension (see figure above). (a) Show that if the sphere is released from a height below that of the peg, it will return to thic hoight aft the a strike +he

Physics for Scientists and Engineers with Modern Physics
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Chapter8: Conservation Of Energy
Section: Chapter Questions
Problem 40AP: A pendulum, comprising a light string of length L and a small sphere, swings in the vertical plane....
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Ch7 VP3
L
Peg
• VP3. A pendulum, comprising a light
string of length L and a small sphere,
swings in the vertical plane. The string
hits a peg located a distance d below the
point of suspension (see figure above). (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 pendulum is
released from rest at the horizontal
position (0 = 90°) and is to swing in a
complete circle centered on the peg, the
minimum value of d must be 3L/5.
Transcribed Image Text:L Peg • VP3. A pendulum, comprising a light string of length L and a small sphere, swings in the vertical plane. The string hits a peg located a distance d below the point of suspension (see figure above). (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 pendulum is released from rest at the horizontal position (0 = 90°) and is to swing in a complete circle centered on the peg, the minimum value of d must be 3L/5.
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