Question

PHYS 111 Laboratory - Pre-lab #14 (THE PENDULUM) Student Name: Lab Day and Time: Due at the beginning of lab. All answers must be legibly handwritten for credit. Show all work. References: lab manual, textbook Ch. 14.1 - 14.5. 1) (lab manual and Section 14.1) What is Simple Harmonic Motion (SHM)? 2) (Ch. 14.1, Equation 14.1) a. Write an equation for the oscillation period in terms of frequency. Define all SI units. b. If an oscillator completes 10 cycles in 5.0 seconds, what are the period and the frequency of the oscillation? 3) (Ch. 14.5, Equation 14.27) a. Write the equation for the period of a simple pendulum in terms of pendulum length and acceleration due to gravity. Define all SI units for each quantity, b. A simple pendulum with length of 1.0 meter oscillates back and forth. What is the pendulum's period? 4) (lab manual Eq. 11) a. How can the acceleration due to gravity be determined from a plot of the pendulum's period squared versus pendulum length? b. Write an equation for the acceleration due to gravity in terms of the slope of this plot. 5) (lab manual, Ch. 14.2 "The Pendulum", Ch. 14.5) Lab manual Eq. (8) is accurate for small angles since it was derived using the small angle approximation, sin(O) - (in radians). How do you expect a pendulum's period to change increase/decrease/equal) if the displacement angle increases (e.g., the frequency is measured for 2º and then for 60°)?

Answer 1

Answer 1 :- Simple harmonic motion is the special type of periodic montion or oscillation where the restoring force is directly proportional to the displacement and act in the opposite direction to that of the displacement. The motion is sinusoidal in time.