A crate of eggs is located in the middle of the flatbed of a pickup truck as the truck negotiates an unbanked curve in the road. The curve may be regarded as an arc of a circle of radius 38.5m. If the coefficient of static friction between crate and truck is 0.535, how fast can the truck be moving without the crate sliding?
+33661 The centrifugal force pushing th box outward is given by m*v2/r where m is the mass of the box, v is the lorry speed and r is the radius of curvature. This force is balanced by μ*m*g, where μ is the coefficient of static friction and g is the gravitational acceleration.
mv2/r = μmg
v2/r = μg
v2 = μgr
v = √(μgr)
You can plug in the numbers.
+33661 The centrifugal force pushing th box outward is given by m*v2/r where m is the mass of the box, v is the lorry speed and r is the radius of curvature. This force is balanced by μ*m*g, where μ is the coefficient of static friction and g is the gravitational acceleration.
mv2/r = μmg
v2/r = μg
v2 = μgr
v = √(μgr)
You can plug in the numbers.
