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

Question

While hauling a log in the back of a flatbed truck, you are pulled over by the state police. Although the log can't 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.The log has a mass of m = 994 kg; the truck has a mass of M = 9250 kg. According to the truck manufacturer, the truck can accelerate from 0 to 55 mph in 26.0 seconds, but this does not account for the additional mass of the log. Calculate the minimum coefficient of static friction ?s needed to keep the log in the back of the truck.

Explanation / Answer

I have solved this question earlier with different figures. Please workout using yours figures. If you need any further help just PM me. If I have helped you please rate me 5 stars first (before you rate anyone else).

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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