Question

A 65 kg crate is dragged across a floor by pulling on a rope attached to the crate and inclined 25° above the horizontal. (a) If the coefficient of static friction is 0.54, what minimum force magnitude is required from the rope to start the crate moving? (b) If ìk = 0.36, what is the magnitude of the initial acceleration (m/s^2) of the crate?

Answer 1

(a) Fmin cos25 = M g*(1 - sin25)*0.54

(b) Using Fmin from part (a), solve for a:
Fnet = Fmin - M g*(1 - sin25)*0.36
= M a

Answer 2

27