It can be shown that if a pendulum mass on a string is dropped from a height as shown the final velocity will be √2?ℎ. (we did this in the energy lab) This is because all of the mass is located at the end of the string giving it a moment of inertia of mL2 . If instead a solid rod of the same mass and length was allowed to swing the same distance, and knowing the moment of inertial to be 1/3 mL2 what is the velocity of the very tip of the rod at the bottom? (if you want you can use a mass of 1 and a length of 1, hint: choose PEG carefully)
It can be shown that if a pendulum mass on a string is dropped from a height as shown the final velocity will be √2?ℎ. (we did this in the energy lab) This is because all of the mass is located at the end of the string giving it a moment of inertia of mL2 . If instead a solid rod of the same mass and length was allowed to swing the same distance, and knowing the moment of inertial to be 1/3 mL2 what is the velocity of the very tip of the rod at the bottom? (if you want you can use a mass of 1 and a length of 1, hint: choose PEG carefully)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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10. It can be shown that if a pendulum mass on a string is dropped from a height as shown the final
velocity will be √2?ℎ. (we did this in the energy lab) This is because all
of the mass is located at the end of the string giving it a moment of
inertia of mL2
. If instead a solid rod of the same mass and length was
allowed to swing the same distance, and knowing the moment of
inertial to be 1/3 mL2 what is the velocity of the very tip of the rod at the
bottom? (if you want you can use a mass of 1 and a length of 1, hint: choose PEG carefully)
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