How Do Forces Interact on a Frictionless Pulley System with Inclined Planes?

[zara2939]

1. A mass m1 is attached to a second mass m2 by a rope that goes over a frictionless and massless pulley. Mass m1 is being pushed down a rough inclined plane with force F. The Angle of the incline is θ1, the force pushing m1 is acting at an angle θ2 . and the coefficient of kinetic friction on the plane is μk

2.
all i need to find it the algebraic solution no actual final answer just equation rearrangement
the x and y component of m1g, T (tension) and μk

equations for x and y components of Fnet

the equation for Normal force

the equation for the acceleration

Ive gotten most of them so far but these ones I am having some sort of mental discrepancy with

b[3]

For acceleration
T-m2g= m2a

Fcosθ2+m1gsinθ1-T-μk(Fsinθ2+m1gcosθ1) =m1a

 

[Simon Bridge]

You need to say what the angles are measured against and what the situation is with m2 ... is it hanging off the end of the rope, on a level frictionless plane... what?

Did you draw free-body diagrams?
To find components of gravity along and perpendicular to the slope, draw the gravity vector on the fbd, draw the axis on it, and resolve the vector against each axis using trigonometry. To see the problem, we need to see your working, not just the results.