Assignment:
Question 1. (a) At what position is the speed of a mass in a mass-spring system maximum (1) x = 0, (2) x = - A, or (3) x = +A? Why? (b) If, m = 0.250 kg, k = 100 N/m, and A = 0.10 m for such a system, what is the mass’s maximum speed?
Question 2. The simple pendulum in a tall clock is 0.75 m long. What are (a) the period and (b) the frequency of this pendulum?
Question 3. The equation of motion of a SHM oscillator is x = (0.50 m) sin(2 pie f)t, where, x is in meters and t is in seconds. If the position of the oscillator is at x = 0.25 m at t = 0.25 s, what is the frequency of the oscillator?
Question 4. Fred strikes a steel train rail with a hammer at a frequency of 2.50 Hz, and Wilma puts her ear to the rail 1 km away (a) How long after the first strike does Wilma hear the sound? (b) What is the time interval between the successive sound pulses she hears?
Question 5. If the frequency of the third harmonic of the vibrating string is 600 Hz, what is the frequency of the first harmonic?