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Physics 235: Classical Mechanics
Prof. S. Teitel stte@pas.rochester.edu ----- Fall 2001
Problem Set 2
Due Thursday September 20 -- problem (1) is worth 20 points, problems (2) and (3) are 10 ponits
2) Consider an ant on a circular turntable which is revolving about its center with constant angular speed omega. The mass of the ant is m.
a) If the ant is a distance r from the center, and is at rest with respect to the turntable, then what is the force that is acting on the ant? Be sure to give your answer as a vector. What is the physical origin of this force?
b) Suppose now that the ant is walking in the outward radial direction, with respect to the turntable, with a constant radial speed u, i.e. r(t) = ut. Now what is the total force that is acting on the ant? Be sure to give your answer as a vector.
3) Problem 2-2 in the text:
A particle of mass m is constrained to move on the surface of a sphere of radius R by an applied force F(theta, phi). Write the equation of motion, i.e. an equation that relates the e_phi and e_theta components of F to the e_phi and e_theta components of of the acceleration a, which are given in terms of time derivatives of theta and phi. You may want to use the results we gave in lecture for the time derivatives of e_r, e_theta, and e_phi.
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