1) Construct a separate free body diagram for each of the two blocks pictured at right. The top block is not moving with respect to the bottom one. Assume there are NO frictional forces (4 forces on lower block, 2 on upper)
2) Construct a separate free body diagram for each of the two blocks pictured at right. The top block is not moving with respect to the bottom one. Assume there ARE frictional forces between all surfaces (6 forces on lower block, 3 on upper)
3) Construct a separate free body diagram for each of the two blocks pictured to the right. Neither block is moving and the smaller one has a smaller mass. There is friction and the incline is sloped at 35 degrees above the horizontal. Show your components and how you will calculate them using trig. Would the freebody diagram change is the upper mass was bigger than the lower? (5 on lower, 3 on upper)
4) A search and rescue person is working their way backward down a slippery (frictionless) ramp that is inclined at 18 degrees. He is using a rope to maintain stability and keep his body perpendicular to the surface. The weight of the rescue person is 650 N. What are the magnitudes of all the forces on your freebody diagram?
5) The ramp is frictionless. What happens? [a note: a traditional physics problem would direct your attention to figuring out the acceleration of the block(s). At the very least you should do that but as a science student is that all you can figure out?]
6) The person in the sketch is exerting the minimum force needed to keep the 100 kg block from falling down the wall. She is pushing at an angle of 30 degrees with respect to the horizontal. The coefficient of friction is 0.6. Determine the magnitudes of all the forces in the problem.
7) The static coefficient of friction between the block and the ramp is 0.4. What is the maximum mass m for which neither block moves? [is there a minimum mass of interest in this problem?]
8) Two block are stacked as shown on a frictionless table. The static coefficient of friction between the boxes is 0.45. What is the maximum force that can be applied without moving either block? Take the time and trouble to make a careful freebody diagram for each mass with descriptive labels.
9) You apply a force FA to the 25 kg box on wheels in the arrangement of blocks shown. All surfaces are frictionless. For what applied force will all the blocks remain stationary with respect to each other? (Hint: What does this mean regarding acceleration?) This is a challenging problem and I don't necessarily expect you to get it but it is worth your time to try it and see if, or where, you get stuck.

10) So here's a basic calculus driven problem from hydraulics. It turns out that the pressure exerted by water is a linear function of it's depth. We can represent this by P=a+k^.y where k depends on the particular fluid and planet on which you reside, y is the depth below the surface of the water, and a is the atmospheric pressure.

For water a =10⁵N/m² and k=10⁴N/m^3. Given this, calculate the force on each face of a hollow 1 m cube whose top surface is parallel to the surface of the water and then determine the net force on the cube. I want to see a calculated value for the force on each face of the cube even if they cancel out other forces! Do this calculation when the top surface of the cube is at the surface of the water.

Hints: Pressure is measured in N/m² so to determine the force on a surface you must multiply the pressure by an area. F=P^.Area. Some of the surfaces on your cube are at constant depth so this is easy. Some surfaces change depth and you will need to set up an integral to determine the total force. If you haven't had MTH 252 this is out of your depth (bad pun!).