tricky_tick
Nov2-04, 09:44 PM
Movers want to set the ramp of their truck so that the work they do against the combination of gravity and friction is a minimum for crates moving up the ramp with constant velocity. µ is the coefficient of kinetic friction and θ is the angle between the ramp and the ground. For the work to be a minimum, they must choose:
a. tan θ = µ
b. tan θ = -µ
c. tan θ = -1/µ
d. tan θ = 1/µ
e. tan θ = 1 - µ
The obvious solution of setting the derivative of work equal to zero finds the maximum work. The problem asks for the minimum?
a. tan θ = µ
b. tan θ = -µ
c. tan θ = -1/µ
d. tan θ = 1/µ
e. tan θ = 1 - µ
The obvious solution of setting the derivative of work equal to zero finds the maximum work. The problem asks for the minimum?