10A.1 Simple Harmonic Motion Flashcards
what is oscillate
to undertake continuously repeated movements
what is period
the time taken for one complete oscillation
what is simple harmonic motion
the oscillation of a system in which a force is continually trying to return the object to its center position, and this force is proportional to the displacement from that centre position
the force acting in SHM is called the
restoring force
The restoring force in SHM is = to
F = -kx where k is a constant that depends on the oscillating system in question
why is the restoring force equation negative
to show that acceleration will always be towards the centre of the oscillation
what is the equation for the period of the oscillations of mass M, subject to Hooke’s law restoring force is
T = 2pi√m/k
a pendulum’s time period is independent of
the size of the oscillation
time period of a pendulum =
T = 2pi√l/g where the time period is only dependent on the length of the string and the strength of the gravity on that planet which it has been set up
what sensor do we use to find details about the oscillation of a pendulum and what are the details we can find
ultrasonic position vectors, where it can give us detailed d/t graphs and from calculations of change in poisition / time taken between readings we can find a v/t graph (the calculations are done by an ultrasonic datalogging sensor)
how can we convert a D/t graph to a v/t graph and why is that possible
we convert by differentiation and it is possible because the gradient in any part of the d/t graph equals the velocity at that moment
what is the amplitude in SHM
the maximum displacement from from the center position
a pendulum will always have zero velocity at
the amplitude displacement and the same position at the other side of the swing
where does maximum velocity of a pendulum occur
at the middle of the swing where their is zero displacement
when is the acceleration of the pendulum zero and at maximum and why
the restoring force is proportional to the displacement so the acceleration will be max at the amplitude and minimum in the middle