Centrepetal Force & Inclined Plane

[Grogerian]

Homework Statement

I Have two questions one of them i just can't start it, I don't understand what it is I'm supposed to set up or how.

A Block is shoved up a 22 degree slope with an initial velocity of 1.4 m/s the coefficient of friction is .70 how far up the slope will the block make it? once stopped will it slide back down?

Homework Equations

Fg = mg
Fa = ma
4 kinematic equations?

The Attempt at a Solution

well i drew out my FBD and i have tried

Fg(incline) = mgSin(22)
Fn = mgCos(22)
Ffr = (Mu)mgCos(22)

And from there... I'm stuck, i do however have no idea how i can solve this i tried doing

m(-9.81)(Sin(22)) = -(.70)(-9.81)(Cos(22))m

but mass cancels and your ending up with no unit's which I Am assuming is incorrect, i just don't know what equations i need to set up for this problem :(

Homework Statement

Problem 2
A washing machine’s drum is rotating rapidly (about its vertical axis). A wet sock is stuck on the inside, halfway up
the drum. The drum begins to slow its rotation. How many rotations per second is the drum making when the sock falls to
the bottom of the drum? The coefficient of friction between the sock and the drum is 0.13, and the drum radius is 0.35 m.

Homework Equations

ac = v^2/r

The Attempt at a Solution

Circum. = 2.166
all i really want to know is am i correct in saying

mg=(mu)mv²/r

if not, i will reattempt, at least using that my mass is not needed :)

 

[Doc Al]

Problem 1:

And from there... I'm stuck, i do however have no idea how i can solve this i tried doing

m(-9.81)(Sin(22)) = -(.70)(-9.81)(Cos(22))m

but mass cancels and your ending up with no unit's which I Am assuming is incorrect, i just don't know what equations i need to set up for this problem :(

Apply Newton's 2nd law to solve for the acceleration: ΣF = ma.


Problem 2:

all i really want to know is am i correct in saying

mg=(mu)mv²/r

That is a correct statement of the condition for the sock to fall.