Calculus: Work (Section 6.4) | Math with Professor V

Examples computing work when dealing with constant and variable forces; Hooke's Law and other applications. #work #integration #calculus #mathtvwithprofessorv #youtubemath #mathprofessor #hookeslaw #mathvideos

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[ptyptypty]

wow, Okay.. well, Hello Professor V .. I just watched this video and I loved it!! call me a geek but your examples were Exemplary. I now have time to reLearn Calculus and physics. I'm truly enjoying the adventure. It's videos like your's that makes this journey refreshing. I wish more people have come across your video and channel. You have a nice home page for your channel and your video introducing yourself was a very nice touch. :) I look forward to seeing your other videos. I have subscribed.. :)

[john.s]

In example 5, lifting the chain, are we assuming that the end result is the chain in an L shape, the arm of the L straight up the wall, the base of the L at 90 degrees along the floor? If so, what about the work done in the horizontal movement of the chain along the floor?

[mclovin]

How did you get 4-y? Why isn't it 7-y or just y by itself? Why must each slice move by 4-y?

[ptyptypty]

in regards to that last problem .. as a check, after solving the integral, I will figure out the total volume of the water in the sphere, then place it at the CENTER of the sphere... then raise it 4 meters... that leads to the same answer. That's meant as a CHECK ..not as an alternative to using calculus. :) W = (density)(4/3 Pi R^3)(g)(4) = 4.43 x 10^6 J voila.. checks out. :) gotta love physics and Calculus.!!

[marvinriveramartinez]

Can you make a video over Hydrostatic Force, please? I have been using your videos throughout my calculus 2 course and I was able to get a 140/150 on my first exam!!

[joelsteele]

Ha! 4:16 which county do people say "I would like to lose mass? Also, in the previous problem, how is the weight of a 1.2 kg book differ if it was weight via U.S. lbs.? kg equates to mass? if so, couldn't we convert kg to pounds and skip a step?

[vanessaduron]

How'd you get the mass of the "slice"? I understand you multiplied water density to the volume function but why?