Recent content by celeramo

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    Angular and linear acceleration

    Ok, I have figured it out by drawing a FBD and treating the weights as torques on the wheel. But I am still curious and would like to know at what point what I attempted becomes invalid?
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    Angular and linear acceleration

    Homework Statement An Atwood machine is constructed using a hoop with spokes of negligible mass. The 2.4 kg mass of the pulley is concentrated on its rim, which is a distance 20.9 cm from the axle. The mass on the right is 1.36 kg and on the left is 1.79 kg. What is the magnitude...
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    Is My Integral Correct for Finding the Enclosed Area of a Polar Equation?

    Homework Statement Find the area enclosed by r=2cos(3\theta) I'm fairly confident how to do this but for some reason I am getting 2\pi rather than 1\pi, which the book claims is the answer. There is the possibility the book is wrong, but I want to make sure how to do this. I have the...
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    A trigonometric substitution problem

    Thanks very much. I don't know what I was thinking
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    Use trigonometric substitution to verify

    Homework Statement Using trigonometric substitution, verify that \int \sqrt{a^2[-t^2}dt (INTEGRAL FROM 0 TO \pi)=(1/2)a^2sin^{-1}(x/a)+(1/2)x\sqrt{a^2-x^2 Sorry it doesn't seem to want to allow me to place superscript inside a square root. but inside the first sq. root is a2-t2 and the...
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    A trigonometric substitution problem

    Homework Statement \intsin3cos2xdx The Attempt at a Solution I've successfully solved this problem by factoring out 1 sinx and changing the sin2x to (1-cos2x then assigning u=cosx and du=-sinx and so on. What I'm wondering is why does letting u=sin3x in the original integral not...
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    Magnetic Saturation in Solenoids: Core Size & Shape Impact?

    Magnetic Saturation?? In a solenoid, does the magnetic field strength at which a core, in this case iron, begins to saturate change relative to the core's size or shape? Or is it constant for the material of the core, regardless of other factors? in other words will the core begin to saturate...
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