PHYS 218 Chapter 4b Take home Quiz Use SI (metric) units and radians unless dire

Question

PHYS 218 Chapter 4b Take home Quiz Use SI (metric) units and radians unless directed otherwise. Mystery Number An aluminum wheelchair with rider has a mass m=130kg and is halfway up a ramp that is tilted at an angle of 27 degrees. It is parked there, with brakes on, and is not moving. What is the minimum the coefficient of static friction (wheel to ramp) needed if the chair is not moving because of that friction? (start with Sf-ma along ramp) Hint: Use the result from THQ 4a as a starting point.

Explanation / Answer

given
angle of incline = theta = 27 deg
mass, m = 130 kg
let coefficient of friction be mu
then from force balance
mgsin(theta = mu*N
N = mg*cos(theta))
tan(theta) = mu = tan(27) = 0.509
so minimum coefficient of friction must be 0.5095

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