Covered this week:
A male gymnast completes a complicated move involving simultaneous rotation and translation. Image courtesy of Singapore 2010 Youth Olympic Games.
Each problem set has concept questions paired with most problems. Answers to the concept questions are handed in before the overall problem set is due. You should therefore answer the concept questions in each problem set while watching the video lectures for the week. Then, use the Concept Question Answer Key (below in the Check Yourself section) to check your work before continuing to work on the problem set.
Please note that if your answer to the concept question is incorrect, it is likely that you may start down an unproductive pathway to a solution. Try to fully understand the answer to the concept question before you begin the regular problem.
Lecture 3: Motion of Center of Mass; Acceleration in Rotating Ref. Frames
Problem solving with an example of a block on a slope
Newton's 3rd law recap and application to rigid bodies
Kinematics: in translating and rotating frames
Kinematics: derivative of a rotating vector in cylindrical coordinates
Lecture 4: Movement of a Particle in Circular Motion w/ Polar Coordinates
Vector form of velocity and acceleration in a translating and rotating coordinate system and the expression of them in polar and cylindrical coordinates
Two examples using polar coordinates
Angular momentum of a particle, torque as the time rate of change of angular momentum, and the appearance of the coriolis force
Candy shooter example of coriolis force done in polar coordinates
Definition of normal and tangential coordinates
Recitation 2: Velocity and Acceleration in Translating and Rotating Frames
The solutions are presented in two files, one with the answers to the concept questions, and one with solutions and in-depth explanations for the problems. Work the problems on your own and check your answers when you're done.