Here are the solutions for the first of the latest homeworks before your finals.
As some of you have pointed out, there is an error in question 7 as I used diameter instead of radius. This means that omega should be 750 rad/s and alpha should be 1500 rad/s2. Luckily as the force only depends on the ratio of the two radii the answer for the Force is still 0.72. That was lucky π
Well done for those that caught the error. You passed my final test π
It should also be noted that as we never had time to get to tension in a pulley situation, the solution to question 5 is incomplete. The way I have calculated it is presuming a constant force is being applied which is fine for our needs at this time.
Thanks to all you guys keeping me on my toes. Where are the rest of you? π