A 62 kg crate is dragged across a floor by pulling on a rope attached to the crate and inclined 16° above the horizontal. (a) If the coefficient of static friction is 0.57, what minimum force magnitude is required from the rope to start the crate moving? (b) If μk = 0.31, what is the magnitude of the initial acceleration (m/s^2) of the crate?
The Attempt at a Solution
Attempt of number (a)
Let Fn + Tsin15=mg
Fn = mg - Tsin15
Attempt of number (b)
ma= Tcos15 - fk (Do I need to subtract fs in this equation?)
fs=magnitude of static friction. In this case, it's the maximum value of static friction.
T= tension of the rope
fk=magnitude of kinetic friction.
Are the equations of my attempts correct ?
How do find tension ? or is there anyway to cancel it out ?