This problem is rated low. A stationary bicycle is raised off the ground, and it

Question

This problem is rated low. A stationary bicycle is raised off the ground, and itsfront wheel (m = 1.3 kg) is rotating at an angularvelocity of 13.2 rad/s (see the drawing). The front brake is thenapplied for 3.0 s, and the wheel slows down to 3.1 rad/s. Assumethat all the mass of the wheel is concentrated in the rim, theradius of which is 0.32 m. The coefficient of kinetic frictionbetween each brake pad and the rim is k =0.85. What is the magnitude of the normal force that each brake padapplies to the rim?
This problem is rated low. A stationary bicycle is raised off the ground, and itsfront wheel (m = 1.3 kg) is rotating at an angularvelocity of 13.2 rad/s (see the drawing). The front brake is thenapplied for 3.0 s, and the wheel slows down to 3.1 rad/s. Assumethat all the mass of the wheel is concentrated in the rim, theradius of which is 0.32 m. The coefficient of kinetic frictionbetween each brake pad and the rim is k =0.85. What is the magnitude of the normal force that each brake padapplies to the rim?

Explanation / Answer

= / t = (3.1 - 13.2) / 3 = -3.37 rad/ s2 torque = I = M R2     torque = N R   where N is the total normalforce applied by the (both) pads M R = N N = 1.3 * .32 * 3.37 / .85 = 1.65 N FN (each pad) = .82 N torque = I = M R2     torque = N R   where N is the total normalforce applied by the (both) pads M R = N N = 1.3 * .32 * 3.37 / .85 = 1.65 N FN (each pad) = .82 N

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