WITH ANSWERS GRADED A+
✔✔a = - w^2*x (from data sheet)
a = - g*sinB
substitute sinB = x/L
a = - g*(x/L)
a = - (g/L)*x
so w^2 = g/L
w = sqrt g/L - ✔✔how do you find the angular frequency, w, of a simple pendulum when
at angle B
✔✔at maximum displacement - ✔✔when is potential energy at its maximum
✔✔at equilibrium point - ✔✔when is kinetic energy at its maximum
✔✔1/2(k*x^2) - ✔✔what is potential energy equal to
✔✔1/2(k*A^2) - ✔✔what is the total energy equal to
✔✔total energy = kinetic energy + potential energy
kinetic energy = total energy - potential energy
kinetic energy = 1/2(k(A^2-x^2)) - ✔✔what is kinetic energy equal to then
✔✔the reduction of amplitude of an oscillating system due to the presence of resistive
forces such as friction and drag - ✔✔what is damping
✔✔the amplitude of the oscillations decreases gradually (but the time period is the
same as its independent to amplitude) - ✔✔what happens in a lightly damped system
✔✔the system returns to equilibrium in the least time possible
a mass-spring system in cars - ✔✔what happens in a critically damped system and give
an example of it
✔✔the system returns to equilibrium in a long period of time
a mass-spring system in oil - ✔✔what happens in a heavily damped system and give an
example of it
✔✔the amplitude of vibration of an oscillating system subjected to a periodic force is
largest when the periodic force has the same frequency as resonant frequency of the
system - ✔✔what is resonance
✔✔the frequency of an oscillating system in resonance - ✔✔what is resonate frequency