What is it that makes a bed go up and down when we jump on one?
A spring is one type of physical system that exhibit oscillatory motion. It works when a force is exerted on the system. They are unique in that they have a spring stiffness constant k, and when you divide it by the mass and take the square root, you would have angular velocity. Hence, = √k/m. However, like all oscillatory systems, = 2f and T = 1/f.
There are many everyday objects which use a spring system. For example, a bed has a spring system underneath the mattress, which is why we move up and down when we jump on one. In other words, the spring system is exerting a force back on us whenever we put our weight on it.
1. What is the importance of having a spring system on beds?
2. Calculate the frequency of the spring system of the bed given that the spring has a spring constant of 500 N/m and a mass of 4 kg.
3. Why do you think that there are weight restrictions on beds?