Academic help online

Example 10.3 derived the equations of motion for a spherical pendulum. When dealing with a real pendulum, however, we are actually operating in a rotating frame.
Repeat the derivation of the equations of motion, but this time, place the pendulum in a local vertical reference frame at latitude β (see Tutorial 10.1). You may use
whatever reference frames and coordinate systems you consider to be appropriate, but remember that your equations of motion must reflect the motion of the pendulum in
all three dimensions relative to the local vertical.
a. Using your new equations of motion, explain what effect the rotation of the earth has on the plane of the pendulum’s swing.
b. French physicist Jean-Bernard-Leon Foucault (1819–1868) predicted ´ that a pendulum could be used to prove the rotation of the earth. In 1851, a 67 m pendulum with
a 28 kg bob was constructed in Paris (latitude 48◦ N). Estimate the rate of rotation of the plane of this pendulum’s swing
c. What happens if a Foucault pendulum is constructed at the north (or south) pole? At the equator?

All Rights Reserved,
Disclaimer: You will use the product (paper) for legal purposes only and you are not authorized to plagiarize. In addition, neither our website nor any of its affiliates and/or partners shall be liable for any unethical, inappropriate, illegal, or otherwise wrongful use of the Products and/or other written material received from the Website. This includes plagiarism, lawsuits, poor grading, expulsion, academic probation, loss of scholarships / awards / grants/ prizes / titles / positions, failure, suspension, or any other disciplinary or legal actions. Purchasers of Products from the Website are solely responsible for any and all disciplinary actions arising from the improper, unethical, and/or illegal use of such Products.