2e03 assignment 5 2012 Solutions

2e03 assignment 5 2012 Solutions - Physics 2E03 Assignment...

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Physics 2E03 Assignment 5 Due Wednesday, Feb. 29 Assume any numerical values given below are accurate to 3 significant digits, and calculate answers to 3 digits . 1. A mass on a spring has a natural frequency of 1 Hz (note, hertz, not radians per second). A drag force – bv is added, with b adjusted for critical damping. The oscillator is started with initial displacement zero, and initial velocity +100 mm/s. a) Find the displacement x ( t ), with numerical values (including units) for all constants in your expression. b) Repeat for the same spring, drag force, and initial conditions if a mass 4 times as large is used. c) Repeat again if both m and b are increased to four times their original values, with the spring and initial conditions the same. 2. Recall that the power supplied by a force F is P = F v . For the forced oscillator discussed in class (in steady state, after all transients have damped out) calculate i) the power added by the driving force, and ii) the power absorbed by the drag force.
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