a) What is the angular frequency, w, of the oscillation? b) How long does it take for the diver to travel from her highest point to her lowest point in the oscillation? c) What is the (linear) kinetic energy of the system consisting of the springboard and diver right at the midpoint of the oscillation? d) The diver jumps upwards, follows an arching trajectory and performs a complex dive with lots of twists and summersaults before gracefully entering the water. How high above the surface of the water was her center of mass when it was at its highest point if it takes 1 sec for her center of mass to fall from its highest point down to the surface of the water? You may neglect any drag forces due to water or wind resistance.
a) What is the angular frequency, w, of the oscillation? b) How long does it take for the diver to travel from her highest point to her lowest point in the oscillation? c) What is the (linear) kinetic energy of the system consisting of the springboard and diver right at the midpoint of the oscillation? d) The diver jumps upwards, follows an arching trajectory and performs a complex dive with lots of twists and summersaults before gracefully entering the water. How high above the surface of the water was her center of mass when it was at its highest point if it takes 1 sec for her center of mass to fall from its highest point down to the surface of the water? You may neglect any drag forces due to water or wind resistance.
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2010Q1: Please answer all parts in specific detail and explain each step with reasoning
Transcribed Image Text:Problem 1
Springboard diving.
A Cal diver is oscillating up and down on the end of a springboard as she prepares to execute a
difficult maneuver. We can approximate the combined diver and springboard as a 100 kg mass
on a massless spring with spring constant k = 1600 N/m. The difference in height between the
diver's center of mass at her highest and lowest points during one oscillation is 1 m. You may
use the approximation a= 3.
a) What is the angular frequency, w, of the oscillation?
b) How long does it take for the diver to travel from her highest point to her lowest point in the
oscillation?
c) What is the (linear) kinetic energy of the system consisting of the springboard and diver right
at the midpoint of the oscillation?
d) The diver jumps upwards, follows an arching trajectory and performs a complex dive with
lots of twists and summersaults before gracefully entering the water. How high above the
surface of the water was her center of mass when it was at its highest point if it takes 1 sec
for her center of mass to fall from its highest point down to the surface of the water? You
may neglect any drag forces due to water or wind resistance.
1m
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