# HW01 - Phys. 315, Spring 2012 Homework #1 Due: Weds., Jan...

This preview shows pages 1–2. Sign up to view the full content.

Phys. 315, Spring 2012 Homework #1 Due: Weds., Jan 25, start of class. 1. (10 points) French, problem 1-1. Do this problem by working with the real and imaginary parts a, b, c, and d of 12 and . zz You may find the following trigonometric sum relation helpful: ± ² ± ² ± ² ± ² ± ² tan tan tan 1t a n t a n DE ³ ³ ´ (CRC Standard Mathematical Tables, 31 st edition, section 6.1.11 ) 2. (6 points) Find the magnitude A and the phase angle I of the vectors 1 23 , zi ³ and ± ² 2 2 ´ in the complex plane. 3. (8 points) French, problem 1-8. 4. (14 points) Simple Harmonic Oscillator equation . The equation that describes the oscillation of a mass m suspended by a spring of spring constant k is 2 2 0, d mk dt [ where is the displacement of the mass from its equilibrium position. a) Verify that ± ² ( ) cos tA t [Z ³ is a solution of this equation if and only if k m Z . b) Suppose that you know that ± ² ( ) cos t ³ for some definite values of A and .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## HW01 - Phys. 315, Spring 2012 Homework #1 Due: Weds., Jan...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online