Question

a) Use Newton’s second law to set up an equation that describes the motion of a mass moving horizontally under the influence of a linear spring force. Neglect air resistance and friction. Solve your equation to obtain expressions for the object’s position, velocity and acceleration as functions of time. Obtain an expression for the angular frequency of the oscillation. Clearly define all quantities you need to do this.

b) Repeat a) using energy ideas.

Answer #1

(a) Use energy ideas to set up an equation that describes the
motion of a mass moving horizontally under the influence of a
linear spring force. Neglect air resistance and friction. Solve
your equation to obtain expressions for the object’s position,
velocity and acceleration as functions of time. Obtain an
expression for the angular frequency of the oscillation. Clearly
define all quantities you need to do this. Show and explain each
step, and be clear about what your answers are...

We have an analogy between circular motion and SHM that we can
use to describe SHM mathematically. But in order to ensure that
black cylinder rotates with exactly the right angular
velocity \omegaω so that its motion syncs up with the side to
side motion of the glider, there must be some relationship between
\omegaω and the properties of the glider/spring system. The goal
of this section is to find the fundamental relationship.
1.Draw a force diagram for the glider...

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