A physical pendulum consists of a sphere of radius R =
0.50 m and mass m2 = 23 kg attached at the lower end of a
rigid rod of length L = 3.0 m and mass m1 = 5.0 kg
suspended at the other end to the ceiling. Initially the
pendulum makes an angle Θ = 0.10 rad with the vertical.
a) Assume that the rod is released and starts to
oscillate harmonically. Calculate the period T and the
angular frequency ω of this simple harmonic motion.
b) Write out the angular position θ (t) as a function of time.
c) Write out the angular speed 0 (t) as a function of time.
d) Write out the angular acceleration α (t) as a function of time.
e) On the following angular position vs. time frame, sketch the first cycle of this motion and
mark the points where the angular speed and acceleration have maxima and minima. Make
sure that you indicate the scale on the graph axes (ie., numbers in radians and seconds). ---- this is just a theta vs time graph
Thanks! Any help is greatly appreciated!
0.50 m and mass m2 = 23 kg attached at the lower end of a
rigid rod of length L = 3.0 m and mass m1 = 5.0 kg
suspended at the other end to the ceiling. Initially the
pendulum makes an angle Θ = 0.10 rad with the vertical.
a) Assume that the rod is released and starts to
oscillate harmonically. Calculate the period T and the
angular frequency ω of this simple harmonic motion.
b) Write out the angular position θ (t) as a function of time.
c) Write out the angular speed 0 (t) as a function of time.
d) Write out the angular acceleration α (t) as a function of time.
e) On the following angular position vs. time frame, sketch the first cycle of this motion and
mark the points where the angular speed and acceleration have maxima and minima. Make
sure that you indicate the scale on the graph axes (ie., numbers in radians and seconds). ---- this is just a theta vs time graph
Thanks! Any help is greatly appreciated!