Answered

a crate of eggs is located in the middle of the flat bed 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 43-m. if the coefficient of static friction between crate and truck is 0.53, what must be the maximum speed of the truck if the crate is not to slide?



Answer :

The maximum speed of the truck if the crate is not to slide if the coefficient of static friction between crate and truck is 0.53 is 14.95 m / s

Fc = m v² / r

f = μ N

Fc = Centripetal force

m = Mass

v = Velocity

r = Radius

f = Frictional force

μ = Co-efficient of friction

N = Normal force

∑ Fy = 0

N - m g = 0

N = m g

μ = 0.53

r = 43 m

∑ Fx = m ax

f = m ac

μ m g = m v² / r

0.53 * 9.8 = v² / 43

v² = 223.34

v = 14.95 m / s

Therefore, the maximum speed of the truck if the crate is not to slide is 14.95 m / s

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