Spring (simple harmonic motion) trig problems

Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

  1. A mass is supported by a spring so that it rests 50 cm above a table top, as shown in the diagram below. The mass is pulled down to a height of 20 cm above the table top and released at time t = 0. It takes 0.8 seconds for the mass to reach a maximum height of 80 cm above the table top. As the mass moves up and down, its height h, in cm, above the table top, is approximated by a sinusoidal function of the elapsed time t, in seconds, for a short period of time.
    Applications of sinusoidal functions
    1. Graph how the height h of the mass varies with respect to the elapsed time t.
    2. Determine a sinusoidal function that gives the mass's height h above the table top as a function of time t seconds
    3. What is the height of the mass 1.4 seconds after being released?
    4. Find the time t when the mass is 70cm above the table top for the third time?