Recent content by eeriana

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    How Does Differential Calculus Apply to Filling a Jug with Liquid?

    I know the rate in of the liquid is .25 gal/min. Rate out is 0. I am not seeing the connection to the first equation. If someone could point me in the right direction, I'd appreciate it. Thanks It took me a while to make sense of it but I think that by "the rate at which the liquid...
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    How Does Differential Calculus Apply to Filling a Jug with Liquid?

    Homework Statement 2 part question: part one is supposed to be a hint to part two. 1) find the general solution to the equation: dx/dt = x - x^2 2)A one gallon jug is half full of a liquid and half full of air. Additional liquid is being pumped in at a rate of 1/4 gallon per minute. If...
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    Solving a Separable ODE: y'+ytanx=cosx with Initial Condition y(0)=1

    I thought I was doing something wrong... hmmm..now I am going to see if I can finish it! Thanks for the help
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    Solving a Separable ODE: y'+ytanx=cosx with Initial Condition y(0)=1

    But isn't 1/cosx * cosx = 1 Or am I having an algebraic malfunction?
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    Solving a Separable ODE: y'+ytanx=cosx with Initial Condition y(0)=1

    Homework Statement y'+ytanx = cos x y(0)=1 Homework Equations The Attempt at a Solution We are studying separable ode's and integrating factor right now, I am a little confused... If someone could steer me in the right direction, it would be greatly appreciated... This is...
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    Rotational momentum conservation

    b]1. Homework Statement [/b] A small block of mass .250kg is attached to a string passing through a hole in a frictionless horizontal surface. The block is originally revolving in a circle with a radius of .800 m about the hole with a tangential speed of 4 m/s. The string is then pulled...
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    How does a jumping bug affect the rotational dynamics of a uniform bar?

    HAHA I don't know. I don't want to know. heh. But thank you for your help!
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    How does a jumping bug affect the rotational dynamics of a uniform bar?

    Thank you so much I got the angular velocity... that makes sense now. One more thing... I can't seem to get the KE in the system after the bug jumped. I know the answer in the book, I am using: KE=1/2mv^2 + 1/2I\omega^2. I thought I was on the right track and then got stumped. Am I...
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    How does a jumping bug affect the rotational dynamics of a uniform bar?

    So when I draw it, I should draw it from a top view? Would that let me see what's going on from a better perspective?
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    How does a jumping bug affect the rotational dynamics of a uniform bar?

    Homework Statement A bug of mass 10.0 g stands at one end of a thin uniform bar that is initially at rest on a smooth horizontal table. The other end of the bar pivots about a nail driven into the table and can rotate freely, without friction. The bar has mass 50.0g and is 100 cm in length...
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    Varying coefficient of friction

    Homework Statement A box is sliding with a speed of 4.50 m/s on a horizontal surface when, at point P, it encounters a rough section. On the rough section, the coefficient of friction is not constant, but starts at .100 at P and increases linearly with a distance past P, reaching a value of...
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    How Do You Return to the Oak Tree After Finding the Treasure?

    I think I see what you're saying. Thank you for your help... Amy
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    How Do You Return to the Oak Tree After Finding the Treasure?

    Forgive me, but could you explain why. Perhaps I am not understanding the angle calculation, but I thought it was counterclockwise from the + x-axis towards the + y-axis and I thought that with it being 40 degrees north of east, it would be 90-40. I am sorry if this sounds like a stupid...
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    How Do You Return to the Oak Tree After Finding the Treasure?

    Homework Statement While following a treasure map, you start at an old oak tree. You first walk 825 m directly south, then turn and walk 1.25 km at 30degrees west of north, then 1.00 km 40.0 degrees north of east where you find a treasure. To return to the oak tree, in what direction would...
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    How High Does a Two-Stage Rocket Reach?

    Homework Statement In the first stage of a two stage rocket, the rocket is fired fro, the launch pad starting from rest but with a constant acceleration of 3.50 m/s^2 upward. At 25.0 s after launch, the rocket fires the second stage, which suddenly boosts its speed to 132.5 m/s upward. This...
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