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a) Define Simple Harmonic Motion. b) One end of a thin rectangular metal strip is firmly clamped to the end of a table so that the rest of the strip extends beyond the table and is able to vibrate with SHM in a vertical direction. Consider the metal strip to be horizontal when it is at its equilibrium position. The free end of the metal strip is pulled down 5.50 mm and released. The strip vibrates with a frequency of 20.0 Hz. Determine the time period of the vibration. Determine the maximum acceleration of the end of the metal strip. i. ii. iii. Determine the maximum speed of the end of the metal strip.

a) Define Simple Harmonic Motion. b) One end of a thin rectangular metal strip is firmly clamped to the end of a table so that the rest of the strip extends beyond the table and is able to vibrate with SHM in a vertical direction. Consider the metal strip to be horizontal when it is at its equilibrium position. The free end of the metal strip is pulled down 5.50 mm and released. The strip vibrates with a frequency of 20.0 Hz. Determine the time period of the vibration. Determine the maximum acceleration of the end of the metal strip. i. ii. iii. Determine the maximum speed of the end of the metal strip.

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a) Define Simple Harmonic Motion. b) One end of a thin rectangular metal strip is firmly clamped to the end of a table so that the rest of the strip extends beyond the table and is able to vibrate with SHM in a vertical direction. Consider the metal strip to be horizontal when it is at its equilibrium position. The free end of the metal strip is pulled down 5.50 mm and released. The strip vibrates with a frequency of 20.0 Hz. Determine the time period of the vibration. ii. Determine the maximum acceleration of the end of the metal strip. Determine the maximum speed of the end of the metal strip. At which point in the vibration will this occur? Determine the time taken for the free end of the metal strip to move directly from a position 3.00 mm above equilibrium to a position 2.00 mm below equilibrium. i. iii. iv. V.
Transcribed Image Text:a) Define Simple Harmonic Motion. b) One end of a thin rectangular metal strip is firmly clamped to the end of a table so that the rest of the strip extends beyond the table and is able to vibrate with SHM in a vertical direction. Consider the metal strip to be horizontal when it is at its equilibrium position. The free end of the metal strip is pulled down 5.50 mm and released. The strip vibrates with a frequency of 20.0 Hz. Determine the time period of the vibration. ii. Determine the maximum acceleration of the end of the metal strip. Determine the maximum speed of the end of the metal strip. At which point in the vibration will this occur? Determine the time taken for the free end of the metal strip to move directly from a position 3.00 mm above equilibrium to a position 2.00 mm below equilibrium. i. iii. iv. V.
vi. A few grains of sand are placed on the free end of the metal strip. Determine the maximum amplitude of the vibration if the grains of sand are to stay on the strip throughout its motion. vii. If the amplitude determined in part vii) is increased slightly, at what point in the motion will the sand lose contact with the metal strip? viii. Sketch a graph of displacement (y axis) against time (x axis) for the free end of the strip to illustrate the effect of air damping on the vibration.
Transcribed Image Text:vi. A few grains of sand are placed on the free end of the metal strip. Determine the maximum amplitude of the vibration if the grains of sand are to stay on the strip throughout its motion. vii. If the amplitude determined in part vii) is increased slightly, at what point in the motion will the sand lose contact with the metal strip? viii. Sketch a graph of displacement (y axis) against time (x axis) for the free end of the strip to illustrate the effect of air damping on the vibration.
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