7.1.A - Describe simple harmonic motion.
7.1.A.1 - Simple harmonic motion is a special case of periodic motion.
7.1.A.2 - SHM results when the magnitude of the restoring force exerted on an object is proportional to that object’s displacement from its equilibrium position. Derived equation (see below):
A restoring force is a force that is exerted in a direction opposite to the object’s displacement from an equilibrium position.
An equilibrium position is a location at which the net force exerted on an object or system is zero.
The motion of a pendulum with a small angular displacement can be modeled as simple harmonic motion because the restoring torque is proportional to the angular displacement.
Skills:
1.C - Create qualitative sketches of graphs that represent features of a model or the behavior of a physical system.
2.A - Derive a symbolic expression from known quantities by selecting and following a logical mathematical pathway.
2.B - Calculate or estimate an unknown quantity with units from known quantities, by selecting and following a logical computational pathway.
3.B - Apply an appropriate law definition, theoretical relationship, or model to make a claim.
From the Lab Set, describe the magnitude and direction (using terms such as: maximum, minimum, zero, positive or negative) of each variable at each position.
From your observations and the data above, sketch a graph of the acceleration vs. position of the cart with FOUR additional masses added on the track, you will consider this to be the initial state of the system.