The body of a car, of mass 1200 kg, rests on four identical springs…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
The body of a car, of mass , rests on four identical springs. When a load of is put in, the body sinks by . Find (a) the spring constant of the four springs together and (b) the spring constant of each spring. (c) The loaded car goes over a bump. With what period does it bounce? Take .
Need a reminder? The key ideaShow
A hanging spring rests at a stretch with , and . In parallel ; in series . A piece of a spring has a larger : length stays the same.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
(a) The extra force is . It squeezes the springs by , so .
(b) Four equal springs in parallel share this: each.
(c) .
Answer: ; ; .
Common mistake. Using in part (c). The load bounces with the car.
Discussion (0)
Log in to join the discussion.
Loading…