PHI 203 Midterm: PHYS 203 Princeton MidFall2004
Document Summary
Fall 2004: (20 points) a boat of mass m is pushed from the shore into a lake with initial velocity v0. The motion of the boat is resisted by a force: (10 points) find the velocity of the boat as a function of time, (10 points) what is the total distance that the boat will travel? vmk. F ma mvm dv dt mkv dv v kdt v v. 0 k: (40 points) consider the setup shown on the right. The pulleys, strings, and the spring are massless and there is no friction. Adding the tension forces in the pulley system shows that there is no force on the spring and it has zero extension: (10 points) write down the lagrangian in terms of coordinates x1 and x2. 2m m k x1: (10 points) write down the equation of constraint between x1 and x2.
