A stationary bicycle is raised off the ground and it's front wheel, mass 1.44 kg, The front wheel is rotating at an angular velocity of 18.8 rad/sec. The front brake is applied for 1.47 sec and the wheel slows down to 2.91 rad/sec. Assume that the mass of the wheel is concentrated on the rim, with a radius of .330meter. The coeficient of kinetic friction between each brake pad and the rim is 0.864.What is the magnitude of the Normal that each brake pad applies to the rim. Chapter 09, Problem 45A stationary bicycle is raised off the ground, and its front wheel (m = 1.44 kg) is rotating at an angular velocity of 18.8 rad/s (see the figure). The front brake is then applied for 1.47 s, and the wheelslows down to 2.91 rad/s. Assume that all the mass of the wheel is concentrated in the rim, the radius of which is 0.330 m. The coefficient of kinetic friction between each brake pad and the rim is P= 0.864, What is the magnitude of the normal force that each brake pad applies to the rim?Brakepads0.33mNumberUnitsthe tolerance is +/-5%LINK TO YEXT

We use the rotational equation of motion and concept of the torque to calculate the normal force on the each pad.Given quantities: Mass of the wheel. M=1.44 kg Mitial Angular Velocity=18.8 rad/sec t =1.47 sec Final angular velocity= 2.91 rad/sec Static friction coefficient=0.864 Radius of rim=0.330 m Ans: First we need to calculate the angular acceleration of the wheel using the equation w=wo+αt wo=18.8 rad/s-18.8=2.91+α×1.47 w=2.91rad/s α=-18.8+2.911.47 =-10.8095rad/s2 Now, torque Iα=ζ Here I=Moment of inertia of wheel MR2α=μNRFN=MR2aμR=MRαμ μN=fr(force of friction)N =1.44×0.330×10.80950.864 =5.945 N So, Normal force on each brake pad , FN=N2 FN=2.973N

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A stationary bicycle is raised off the ground, and its front wheel (m = 1.44 kg) is rotating at an angular velocity of 18.8 rad/s (see the figure). The front brake is then applied for 1.47 s, and the wheet slows down to 2.91 rad/s. Assume that all the mass of the wheel is concentrated in the rim, the radius of which is 0.330 m. The coefficient of kinetic friction between each brake pad and the rim is Pk = 0.864. What is the magnitude of the normal force that each brake pad applies to the rim?

A stationary bicycle is raised off the ground, and its front wheel (m = 1.44 kg) is rotating at an angular velocity of 18.8 rad/s (see the figure). The front brake is then applied for 1.47 s, and the wheet slows down to 2.91 rad/s. Assume that all the mass of the wheel is concentrated in the rim, the radius of which is 0.330 m. The coefficient of kinetic friction between each brake pad and the rim is Pk = 0.864. What is the magnitude of the normal force that each brake pad applies to the rim?

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