Solution Found!
Figure 7.14 shows a simple pendulum (mass m, length 1)
Chapter 7, Problem 7.29(choose chapter or problem)
Figure 7.14 shows a simple pendulum (mass m, length l) whose point of support P is attached to the edge of a wheel (center O, radius R) that is forced to rotate at a fixed angular velocity \(\omega\) . At t = 0, the point P is level with O on the right. Write down the Lagrange and find the equation of motion for the angle . [Hint: Be careful writing down the kinetic energy T. A safe way to get the velocity right is to write down the position of the bob at time t, and then differentiate.] Check that your answer makes sense in the special case that .
Questions & Answers
QUESTION:
Figure 7.14 shows a simple pendulum (mass m, length l) whose point of support P is attached to the edge of a wheel (center O, radius R) that is forced to rotate at a fixed angular velocity \(\omega\) . At t = 0, the point P is level with O on the right. Write down the Lagrange and find the equation of motion for the angle . [Hint: Be careful writing down the kinetic energy T. A safe way to get the velocity right is to write down the position of the bob at time t, and then differentiate.] Check that your answer makes sense in the special case that .
ANSWER:
Step 1 of 5
Given figure,
The x-component of the bob,
The y-component of the bob,
