A few tips on PS#8 (Due December 1, 1998)
7.59 Straightforward 2-d conservation of momentum problem. Let your x-axis be in the direction of the initial velocity.
8.24 A simple constant angular acceleration kinematics problem. Solve just like you would any one-dimensional constant acceleration kinematics problem. You may find that you need to find the initial velocity first.
8.32 Simple use of the relationships between tangential and angular speeds.
8.55 Several ways of doing this. Perhaps the simplest is to find how far the car goes and then use that to determine how many revolutions the wheels make.
8.66 Use the info to find the centripetal and tangential acceleration components separately. Then combine them to form the vector whose magnitude and direction you want to find. See Fig. 8.15.
8.73 Just do it! (But think about why too!)
9.6 Just apply the definition of torque to the two forces and the given axis.
9.19 Let the system be the forearm. It is touching 1) the wrist strap, 2) the muscle (which provides the force M), and 3) the elbow joint. Choose your axis at the elbow joint.
9.23 Similar to 9.19. Let the lower leg be the system and take the axis at the knee joint. Be careful with the angles and lever arms!
9.35 Just use constant acceleration kinematics for part a. Then use Net Torque = I (alpha) to find the net torque. That torque is provided by the force of friction acting at the surface of the cylinder so ...
11.3 A verysimple problem if you understand the idea of density.