Can someone check if this forces problem on an incline

[Blockade]

To me the force P that pulls the bottom block up the incline seems a little low. Can someone confirm with my setup and work in brown is correct? Thank you.

Problem:

Work:

 

[BvU]

Would you expect P to be independent of $\theta$ ?
Draw a free body diagram for each of the blocks separately.
And I see one of the two blue arrows (the most illegible one ) can't be right.

 

[Blockade]

Would you expect P to be independent of $\theta$ ?
Draw a free body diagram for each of the blocks separately.
And I see one of the two blue arrows (the most illegible one ) can't be right.

ΣF_xA : P - T - (3mgsinθ) - μ_k mgcosθ= 0

That was your hint right XD.

 

[SammyS]

ΣF_xA : P - T - (3mgsinθ) - μ_k mgcosθ= 0

That was your hint right XD.

How about clearly stating what forces act on the plank and what forces act on the block - separately.

The mass of the block is 2m, right. Why do you have 3m ?

The plank acts on the block via friction and via the tension in the cord.

 

[Blockade]

4

How about clearly stating what forces act on the plank and what forces act on the block - separately.

The mass of the block is 2m, right. Why do you have 3m ?

The plank acts on the block via friction and via the tension in the cord.

I will redo the problem and post it back up. Thanks for you input.