We need to remember the following equations to smoothly solve this problem
Period of vibration:
, where f is linear frequency.
, where k is spring constant and m is mass.
From the equation for the period, we have:
A spring with a cart at its end vibrates at frequency 5.0 Hz.
A. Determine the period of vibration.
B. Determine the frequency if the cart's mass is doubled while the spring constant remains unchanged.
C. Determine the frequency if the spring constant doubles while the cart's mass remains the same.
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Simple Harmonic Motion of Vertical Springs concept. You can view video lessons to learn Simple Harmonic Motion of Vertical Springs. Or if you need more Simple Harmonic Motion of Vertical Springs practice, you can also practice Simple Harmonic Motion of Vertical Springs practice problems.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Clancy's class at McMaster University.