B now do several checks first make sure the units

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: nitude. (b) Now do several checks. First, make sure the units worked out (!) The, find the magnitude of the force in the limit L → 0. What do you expect? Briefly, discuss. Lastly, find the magnitude of the force in the limit d → ∞ ? Again, is it what you expect? Briefly, discuss. Figure 2: 3. Practicing with complex numbers. (1 pt each) √ (a) If z1 = − 3 + i, draw z1 in the complex plane. Compute its real and imaginary parts and magnitude. Write z1 as Aeiθ and determine A and θ. (b) If z2 = 1/(1 + i), draw z in the complex plane. Compute its real and imaginary parts and magnitude. Write z as Aeiθ and determine A and θ. 2 (c) What are the real and imaginary parts of 1/z3 with z3 = 0.5e−iπ/3 . (d) Compute Z = z1 ∗ z3 with z1 and z3 given in parts (a) and (c). Draw Z in the complex plane. Compute its real and imaginary parts and magnitude. Write Z as Aeiθ and determine A and θ. CONTINUED –2– PHYS 2210 4. Consider again the simple pendulum problem. In homework 7 you showed that the pendulum’s potential energy (measured from the equilibrium level ) is U (φ) = mgL(1 − cos φ) (where L is ￿ pendulum length) the and that under the sm...
View Full Document

Ask a homework question - tutors are online