A package of mass m is placed inside a drum

[Alexanddros81]

Homework Statement

13.69 A packege of mass m is placed inside a drum that rotates in the vertical plane
at the constant angular speed $\dot {θ} = 1.36 rad/s$. If the package reaches the position
θ = 45deg before slipping, determine the static coefficient of friction between the
package and the drum

Homework Equations

The Attempt at a Solution

Can you check my solution?

 

[haruspex]

I like that you wrote your algebra in terms of a generic angle θ, but in doing so you opted for the wrong trig function somehwre. There should be a cosine in one place and a sine in the other. But since θ happens to be 45° this made no difference and you got the right answer.