Resonance
 

Resonance problem 1


A body with a mass of 0.5 kg hangs on a 1 m-long rope attached to the ceiling. Draw a sketch with all the relevant quantities.

  • Calculate the oscillation period of this pendulum.

  • How does the oscillation period of the pendulum change and by what percentage if the length is cut into half?

  • How would the oscillation period of the pendulum change if the body is doubled?

  • What are the maximum speed and acceleration of the pendulum with half of the length if the body is swung with an amplitude of 5 cm?

  • At what frequency should we force this half-length pendulum to oscillate in order for resonance to occur?


 

material editor: Gabriel Amakhabi