Homework H6.C

 

 

The process for deriving an EOM for a system is the same that we have used all semester: 1. FBD, 2. Kinetics, 3. Kinematics, and 4. EOM.

  1. FBD: Separate FBDs are recommended, as we have throughout with Newton/Euler equations.Note that the L-shaped arm is a two-force member.
  2. Newton/Euler: Since the wheels roll without slipping, it is recommended that you use moment equations about the no-slip points for the wheels. Note that the angular accelerations of the wheels are not the same.
  3. Kinematics: Use the no-slip conditions for the wheels to relate the motion of the wheels to the motion of the arm.
  4. EOM: Reduce the equations from 2. and 3. above into a single differential equation in terms of theta.

We are encouraging you to communicate with us and with your colleagues in the class through the threaded discussions on the course blog. If you have questions on this homework, please ask here.

Homework H6.B

REMINDERS: Recall that for non-ideal pulleys (pulleys with non-negligible mass), the cable tensions on opposite sides of the pulley are NOT equal. In particular for this problem, the tensions in the three sections of the cable above should not be assumed to be the same.


We are encouraging you to communicate with us and with your colleagues in the class through the threaded discussions on the course blog. If you have questions on this homework, please ask here.