A cyclist wants to carry a heavy bag of books on her bicycle, using a shopping bag hanging from the handlebars. When she attaches the bag, it swings from side to side with a period of 1.2 s. When she rides the bicycle, her body swings from side to side each time she turns the pedals. If the bag swings with the same period, it makes the bike wobble dangerously from side to side. The diameter of the back wheel is 650 mm. There are 15 teeth on the rear cog and 48 teeth on the chain ring. What speed on the road should the cyclist try to avoid?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A cyclist wants to carry a heavy bag of books on her bicycle, using a shopping bag
hanging from the handlebars. When she attaches the bag, it swings from side to side
with a period of 1.2 s. When she rides the bicycle, her body swings from side to side
each time she turns the pedals. If the bag swings with the same period, it makes the
bike wobble dangerously from side to side.
The diameter of the back wheel is 650 mm. There are 15 teeth on the rear cog and 48
teeth on the chain ring. What speed on the road should the cyclist try to avoid?
Transcribed Image Text:A cyclist wants to carry a heavy bag of books on her bicycle, using a shopping bag hanging from the handlebars. When she attaches the bag, it swings from side to side with a period of 1.2 s. When she rides the bicycle, her body swings from side to side each time she turns the pedals. If the bag swings with the same period, it makes the bike wobble dangerously from side to side. The diameter of the back wheel is 650 mm. There are 15 teeth on the rear cog and 48 teeth on the chain ring. What speed on the road should the cyclist try to avoid?
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