Solving a Physics Problem: Maximum Speed with a Crate of Eggs

AI Thread Summary
The problem involves determining the maximum speed at which a pickup truck can turn without a crate of eggs sliding off the flatbed. The centripetal force required for the crate to follow the truck's curve is given by the formula mv^2/r. The static friction between the crate and the flatbed provides the necessary force to prevent sliding, which is influenced by the coefficient of friction and the weight of the crate. The calculated maximum speed for the truck to negotiate the curve without the crate sliding is 54 km/h. Understanding the relationship between centripetal force and friction is key to solving this physics problem.
PhysicsDud
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I'm having a real problem trying to work out this question:

A crate of eggs is located in the middle of the flatbed of a pickup truck. The truck is negotiating a curve in the road that may be considered as an arc of a circle of radius 35 m. if the coefficient of static friction between the flatbed and the crate is 0.66, with what maximum speed the truck can negotiate the curve if the crate is not to slide out during cornering?

I just can't wrap my head around it.

Can anyone help me?

Thanks,
PhysicsDud
 
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basically... the truck is going to be turning. when its turning, the crate of eggs needs friction to make it turn too(or else, it's going to slide because of it's previous momentum). When a thing is going in a circle, the centripetal force acting on it is mv^2/r
so when velocity increases, you need a greater force to pull it in.
so the question is, at what velocity does that centripetal force equal the maximum force that can be supplied by friction?
 
I worked it out and got the maximum speed to be 54 km/h.

Thanks for the help.
 
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