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A bicycle has pedal rods of length `16 cm` connected to sprocketed disc of radius `10 cm`. The bicycle wheels are `70 cm` in diameter and the chain runs over a gear of radius `4cm`. The speed of the cycle is constant and the cyclist applies `100 N` for, that is always perpendicular to the pedal rod, as shown in figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting `100 N` force. Neglect friction within cycle parts and the rolling friction.
image
The net force of the friction on the rear wheel due to the road is:
A. `100N`
B. `62N`
C. `32.6N`
D. `18.3N`

1 Answer

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Best answer
Correct Answer - D
As `sumtau=0`
`160Nxx4cmfxx35cm`
`f=(160xx4cm)/(35cm)=18.3N`

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