While hauling the log in the back of a flatbed truck, you are pulled over by the

Question

While hauling the log in the back of a flatbed truck, you are pulled over by the state police. Although the log cant roll sideways, the police claim that the log could have slid out the back of the truck when accelerating from rest. You claim that the truck couldn't possibly accelerate at the level needed to achieve such an effect. Regardless the police write a ticket anyway and now your day in court is approaching. Log has a mass of m = 874kg; the truck has a mass of M = 9150kg. According to the truck manufacturer truck can accelerate 0 to 55 mph in 22.0 sec, but this does not account for the additional mass of the log. Calculate the minimum coefficient of static friction mus needed to keep the log in the back of the truck.

Explanation / Answer

the speed achieved by the truck in 23 seconds with the log=8850*55/(8850+954)=49.65 miles/hr=22.2 m/s

Average acceleration=22.2/23=0.965 m/s2

let be the minimum coefficient of static friction.

For the log to stay on the truck, mg=ma

=a/g=0.0985

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