Simple Harmonic Motion: Equivalent force constant of springs
Not what you're looking for?
Two springs with the same unstretched length, but different force constants and are attached to a block with mass on a level, frictionless surface. Calculate the effective force constant in each of the three cases depicted in the figure.
a). Express your answer in terms of the variables k1, m, k2
k_eff -c =
b) An object with mass , suspended from a uniform spring with a force constant , vibrates with a frequency . When the spring is cut in half and the same object is suspended from one of the halves, the frequency is . What is the ratio ?
Express your answer in terms of the variables k and m
**Any solution I have attempted to part B has prompted an automatic response of "answer does not depend on the variable k or m" Which confuses me to no end.
Any help on this problem would be VERY appreciated.
Purchase this Solution
Solution Summary
Two springs connected in three different ways, the equivalent force constant is calculated.
The ratio of the new and initial frequencies is calculated when the spring of the oscillator is cut in two equal parts.
Purchase this Solution
Free BrainMass Quizzes
Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
Basic Physics
This quiz will test your knowledge about basic Physics.
Introduction to Nanotechnology/Nanomaterials
This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.
The Moon
Test your knowledge of moon phases and movement.
Classical Mechanics
This quiz is designed to test and improve your knowledge on Classical Mechanics.