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Draw the freebody force diagrams for each situation below and calculate the quan

ID: 1698781 • Letter: D

Question

Draw the freebody force diagrams for each situation below and calculate the quantity requested.

a) A person is at the highest point on a 55 m radius ferris wheel traveling at 18 m/s. Find the normal force acting on the person.
b) A person in a rotor ride with a radius of 28 after the floor has dropped. (This is the ride that is spun very fast such that the people stick to the wall, then the floor drops out from underneath them). What is the minimum speed necessary for the person to not slide down the wall if the coefficient of static friction between the clothes and wall is 0.70.

Explanation / Answer

a) normal force = -m*(v^2/r-g)=m*3.9 -------------------- b) let it be v normal force N=m*v^2/r so that N*k=mg so mv^2*k/r=mg. so v^2*k/r=g. so v=sqrt(rg/k)=19.8(m/s)

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