# Homework Help: Inclined plane with friction and external force

1. May 5, 2013

### verhooverhoven

1. The problem statement, all variables and given/known data

A block weighing 70.0 N rests on a plane inclined at 25.0° to the horizontal. A force F is applied to the object at 50.0° to the horizontal, pushing it upward on the plane. The coefficients of static and kinetic friction between the block and the plane are, respectively, 0.395 and 0.156.

2. Relevant equations

(a) What is the minimum value of F that will prevent the block from slipping down the plane?

(b) What is the minimum value of F that will start the block moving up the plane?

(c) What value of F will move the block up the plane with constant velocity?

3. The attempt at a solution

I calculate that the normal force is 63.441 N, which means the force of friction is 25.0594 N.

The force of the block sliding down the plane (without friction) is 29.5832 N, so the net force of the block sliding down is 4.5238 N.
The external force is at an angle of 50°, so the x component is F*cos(25).

4.5238 / cos(25) is 4.991, which is supposed to be the answer to A, but it is supposedly wrong. I have no idea what I am doing wrong.

2. May 5, 2013

### TSny

Hello.

The normal force will be affected by the applied force F. So, the normal force is not going to be 63.4 N

Draw a good free-body diagram for the block and apply Newton's 2nd law for the net force parallel and perpendicular to the inclined plane.

3. May 5, 2013

### Simon Bridge

If A is the angle of the plane to the horizontal, then the angle of the force to the horizontal is 2A: what is the angle of the force to the plane?