PAGE EDITORS: Bradley Jackson, Carlos Barrera, Tijana Canic, and Alfredo Cubina

Natland Note: (12/10/13)

  • make sure that each of you are posting things
  • post sample problems that some have already posted on facebook/taken pictures of (or come by to get some)
  • remember pictures, links, and the self-made video (who is going to do this?)
  • make sure the notes don't get cut off!
  • list the sample questions that we did in class (text and ranking) >>Look at the forces wiki for formatting here.
  • post rest of the notes
  • remember to list the SOURCES for everything you post on the bottom of the wiki.

Wiki is due, Completed, on Monday (review day).


Simple Harmonic Motion1.jpeg

Simple Harmonic Motion1 1.jpeg

notes 1.jpg


As in the formula T=2*pi*sqrt(m/k), a more massive object oscillating has a longer period.

An object in simple harmonic motion reaches maximum velocity when a spring's x=0, and reaches maximum acceleration when x=A (amplitude).

This picture illustrates how kinetic and potential energy change throughout the period


Hey Mr. Natland, I made a video but the file size is too large for the wiki. Any suggestions?

Awesome video by a professor at MIT

Video solving a simple harmonic motion problem:

An acoustician looking at the relationship between music, springs, and pendulums:

"Physicists Couple Oscillating Ions"


*Keep in mind these answers may be wrong, they have not been checked yet*
19.) An object executing simple harmonic motion has a maximum speed of 4.3 m/s and a maximum acceleration of 0.65 m/s^2. Find (a.) the amplitude and (b.) period of this motion.
Answer: (a.) 28.44615385m (b.) 41.56568742s

30.) A spring with a force constant of 65 N/m is attached to a 0.50-kg mass. Assuming that the amplitude of motion is 3.1 cm, determine the following quantities for the system: (a.) w [aka omega], (b.)Vmax, and (c.) T [period]
Answer: (a.) 11.40175425 rad/s (b.) 0.3534543818 m/s (c.) 0.551071806s

31.) Two people with a combined mass of 125 kg hop into and old car with worn out shock absorbers. This causes the springs to compress by 8.oo cm. When the car gits a bump in the road it oscillates up and down with a period of 1.65 s. Find (a.) the total load supported by the springs and (b.) the mass of the car.

32.) a O.65-kg mass attached to a vertical spring of force constant 150 N/m oscillates with a maximum speed of 0.35 m/s. Find the following quantities related to the motion of the mass: (a.) the period. (b.) the amplitude, (c.) the maximum magnitude of the acceleration.
Answer: (a.) 0.4729810071s (b.) 0.0263470428m (c.) 4.649483433 m/s^2

42.) A bunch of grapes is placed in a spring scale at a supermarket. The grapes oscillate up and down with a period of 0.45 s. and the spring in the scale has a force constant of 650 N/m. What are (a.) the mass and (b.) the weight of the grapes?
Answer: (a.) 3.334100197 kg (b.) 32.67418193N

43.) What is the maximum speed of the grapes in the previous problem, if their amplitude of oscillation is 2.3 cm?
Answer: 0.3211405825 m/s

48.) A large, simple pendulum is on display in the lobby of the United Nations building. If the pendulum is 10.0 m in length, what is the least amount of time it takes for the bob to swing from a position of maximum displacement to the equilibrium position of the pendulum? ( Assume that the acceleration of gravity is g=9.81 m/s^2 at the UN building)
Answer: 1.585934962s

49.)Find the length of a simple pendulum that has a period of 3.00s. Assume that the acceleration of gravity is g= 9.81 m/s^2
Answer: 2.236411826m

50.) If the pendulum in the previous problem was to be taken to the moon, where the acceleration of gravity is g/6, (a.) would its period increase, decrease, or stay the same? (b.) Check your results in part (a.) by calculating the period of the pendulum on the Moon.
Answer: (a.) T will be greater (b.) 7.352217491


Great website for calculating angular frequency, period, and displacement to understand the relationships between the variables.
Provides a thorough analysis of the forces acting during pendulum motion