Physics problem to solve

Physics
Tutor: None Selected Time limit: 1 Day

A crate of eggs is located in the middle of the flatbed of a pickup trucks as the truck negotiates a curve in the float road. The curve may be regarded as an arc of a circle of radius 35.0 m. If the coefficient of static friction between crate and truck is 0.600, how fast can the truck be moving without the crate sliding?

Oct 2nd, 2015

Hello!

The maximum friction force is

μ*m*g

(μ is the friction coefficient, m is the mass ang g is the gravity acceleration).

The force related with the moving along a circle is

m*a = m*V^2/R

(a is the acceleration, V is the speed and R is radius).

μ*m*g = m*V^2/R,
μ*g = V^2/R,
V^2 = μ*g*R,
V = sqrt(μ*g*R).

Here V = sqrt(0.6*9.8*35) = sqrt(205.8) = approx. 14.35 (m/s).

Please ask if something is unclear.
Oct 2nd, 2015

Thank you.


Oct 2nd, 2015

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Oct 2nd, 2015
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Oct 2nd, 2015
Dec 4th, 2016
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