HPS211H1 Chapter 8: The Problem of Heredity

Question 10-9, part a, Griffiths Intro to Quantum Mechanics: A 1-D harmonic oscillator is subject to a driving force F(t)=m(w^2)f(t), where f(t) has units of length and f(t)=0 for all t<=0. Referring to xc as the classical position of the oscillator, and given xc (0) = d xc /dt(0) = 0, how do you arrive at the solution xc = w * Integral from 0 to t of f(t')sin[w(t-t')] ?

A 100-W resistor, an 800-mH inductor and a 10.0-mF capacitor areconnected in series across a 60.0-Hz 120-V (peak) ac source. Theimpedance of this circuit is approximately

a. 107 W
b. 265 W
c. 100 W
d. 377 W

Inside of a train, a ball of weight W is hanging by a light wire at rest from the ceiling. The wire makes an angle theta with the ceiling, as shown in the figure. 

Which one of the following conditions must be true about the tension T in the wire?

a. T=ma

b.  

c. T=W

d.  

e.