Question
Asked Sep 18, 2019
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While hauling a log in the back of a flatbed truck, a driver is pulled over by the state police. Although the log cannot roll sideways, the police claim that the log could have slid out the back of the truck when accelerating from rest. The driver claims that the truck could not possibly accelerate at the level needed to achieve such an effect. Regardless, the police write a ticket, and the driver's court date is approaching.

The log has a mass of ?=879 kg;m=879 kg; the truck has a mass of ?=9750 kg.M=9750 kg. According to the truck manufacturer, the truck can accelerate from 0 to 55 mph55 mph in 24.0 s,24.0 s, but this does not account for the additional mass of the log. Calculate the minimum coefficient of static friction ?sμs needed to keep the log in the back of the truck.

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S т а М 0о

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Expert Answer

Step 1

The maximum force exerted on the empty truck is,

Substitute the values,

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F = m tock 1000m 1шіл 1hr mi 55 lkm 0.621mi hr 60шіл lkm 60s F(9750kg) 24.0s (9750kg)24.6m/s) (24.0s) 9993.8N

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Step 2

The acceleration of loaded truck is,

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F-(m+)a F a -

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Step 3

Substitute the ...

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9993.8N 9750kg 879kg 9993.8N 10629kg 0.940m/s

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