Help Needed - Two bodies, inclined plane, some friction, and pulley problem

[katzmeow9]

Homework Statement

Block A has mass m = 4.0 kg, and block B has mass m= 2.0 kg. The coefficient of kinetic friction between block B and the horizontal plane is 0.50. The inclined plane is frictionless at the angle 30 degrees and Block A sits on it. The pulley serves only to change the direction of the cord connecting the blocks. The cord has negligible mass. Find (a) the tension in the cord and (b) the magnitude of the acceleration of the blocks.

Homework Equations

FN = Fgx
Fg = mg
a = Fnet/m

The Attempt at a Solution

I found the normal force of block A to be 33.95 N and the Fg to be 39.2 N. For block B, FN should be 19.6 N and fk should be 9.8 N.

Now I'm just confused about what forces cause the tension force (I don't know what to add, subtract, etc. to get FT)

I need help tonight if possible!

 

[rl.bhat]

Take the components of mg along the inclined plane. It is in the downward direction. Find the net force acting on it.
Then the acceleration of the sliding body. Equate it to that of the body on the table.

 

[tomcue]

Based on the given information, we can draw a free body diagram for each block. For block A, we have the force of gravity (Fg) acting down the inclined plane, and the normal force (FN) acting perpendicular to the plane. The tension force (FT) is acting upwards, and the force of friction (fk) is acting in the opposite direction of the motion. For block B, we have the force of gravity (Fg) acting downwards, and the tension force (FT) acting upwards. The force of friction (fk) is acting in the opposite direction of the motion.

To find the tension force (FT), we can use the equation Fnet = ma, where Fnet is the net force acting on the block and a is the acceleration of the block. We know that the net force on block A is equal to the sum of the forces acting on it, which is equal to Fg - fk = ma. Similarly, for block B, the net force is equal to Fg + FT - fk = ma. We can substitute the known values into these equations and solve for FT.

Once we have the tension force, we can use the same equation to find the acceleration of the blocks. We know that the net force acting on the blocks is equal to the sum of the forces, which is equal to ma. So we can set up an equation for each block and solve for a.

I would recommend drawing a free body diagram for each block and labeling the forces to help you visualize the problem. Then, set up the equations and solve for the unknown variables. If you're still having trouble, you can also try looking up examples of inclined plane problems with friction and pulleys to see how they are solved.