In one of the solutions to the problems in my physics textbooks, it's written (without further explanation, as if it were somehow obvious) that the gravitational potential energy of a vertical rod is given by the formula U=1/2*m*g*l. How does that make any sense? The sum of the gravitational energy of the infinitesimally small parts of the rod is obviously U=integral(m*g*l,l,0,l)=1/2*m*g*l^2.
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Current time: January 28, 2025, 4:17 am
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Another (mostly) calculus question
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Another (mostly) calculus question - by FlatAssembler - April 26, 2019 at 12:57 pm
RE: Another (mostly) calculus question - by Fireball - April 26, 2019 at 2:13 pm
RE: Another (mostly) calculus question - by onlinebiker - April 26, 2019 at 2:25 pm
RE: Another (mostly) calculus question - by Fireball - April 26, 2019 at 5:37 pm
RE: Another (mostly) calculus question - by Cod - April 26, 2019 at 5:41 pm
RE: Another (mostly) calculus question - by Fireball - April 26, 2019 at 7:54 pm
RE: Another (mostly) calculus question - by onlinebiker - April 26, 2019 at 10:30 pm
RE: Another (mostly) calculus question - by Fireball - April 26, 2019 at 10:49 pm
RE: Another (mostly) calculus question - by brewer - April 26, 2019 at 4:18 pm
RE: Another (mostly) calculus question - by Smaug - May 7, 2019 at 3:41 am
RE: Another (mostly) calculus question - by polymath257 - May 7, 2019 at 3:04 pm
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