What Is the Maximum Speed a Truck Can Take a Curve Without Losing Its Cargo?

[cbrowne]

Homework Statement

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?

Homework Equations

The Attempt at a Solution

Can someone please confirm this answer.

a(c) = v^2/r = v^2/35

You want to find the maximum 'acceleration' your friction can give you, and set it equal to that centripetal acceleration to find the corresponding velocity.

Mu=Friction Force/Normal Force
Mu*Fn=Ff
Mu*m*g=m*a(friction)
.66*g=a(friction)

Now back to original.

v^2/35=.66*g
v=15 m/s

 

[LowlyPion]

Seems OK.