So I'm taking a practice test for an upcoming exam, and this problem has me stumped. I've attached an image here, as you can see I have some equations written out. My problem now is that I'm left with 3 unknowns (normal force, acceleration in x, and angle theta).
Anyone wanna toss me in the right direction here? First post btw, probably gonna be a few more after this judging by how this class is going so far.
You're not too far away from being able to answer (2). You have figured out that F_y = 0, you have an expression for F_n, and you almost have F_x (you actually have written acceleration in the x-direction; the force F_x is acceleration times mass). So - first off, what's the total force, F_net? You could use |F_net| = sqrt(|F_x|^2 +|F_y|^2), but given that F_y=0 it should be pretty obvious what F_net is. Then, use simple trig to determine the angle theta if |F_n|/|F_net| = 0.554