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A certain bicycle can go up a gentle inc...

A certain bicycle can go up a gentle incline with constant speed when the frictional force of ground pushing the rear wheel is `F_(2) = 4 N`. With what force `F_(1)` must the chain pull on the sprocket wheel if `R_(1) = 5m` and `R_(2) = 30m`?

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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. The net force of the friction on the rear wheel due to the road is: