Recent content by lydia_y620

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    Integration of even powers of sine and cosine

    okay, I've figured it out. Thanks!
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    Integration of even powers of sine and cosine

    Homework Statement Homework Equations cos2x = (1+cos2x)/2 sin2x = (1-cos2x)/2 The Attempt at a Solution I believe you would use the double angle formula repeatedly but that is very tedious; is there a more concise way to solve the problem?
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    Relate rotational kinetic energy to potential energy

    Okay, that makes sense. Thanks for the help!
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    Relate rotational kinetic energy to potential energy

    So I have to take the entire bar into account and not just the end...kind of like taking the "average" change in height for all pieces of the rod?
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    Relate rotational kinetic energy to potential energy

    It asks for the velocity of the "free end of the rod", so I think that it means the end of the bar. But why does the answer sheet say L/2 then?
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    Relate rotational kinetic energy to potential energy

    Homework Statement This problem is from the 2015 AP Physics C Mechanics free response, question 3 part b. https://secure-media.collegeboard.org/digitalServices/pdf/ap/ap15_frq_physics_c-m.pdf Homework Equations K = 1/2Iω2 U = mgh The Attempt at a Solution The potential energy of the bar when...
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    Coulomb's Law problem: Charged particles and the net electric field and force

    My final answer was (4.359 x 10^-37)/e, which, like you've said, doesn't make sense because it's a multiple of 1/e.
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    Coulomb's Law problem: Charged particles and the net electric field and force

    Homework Statement Figure (a) shows charged particles 1 and 2 that are fixed in place on an x axis. Particle 1 has a charge with a magnitude of |q1| = 19e. Particle 3 of charge q3 = +16e is initially on the x axis near particle 2.Then particle 3 is gradually moved in the positive direction of...