Recent content by revolve

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    Hydrostatic pressure on triangular plate

    Got it. Thank you for your help.
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    Hydrostatic pressure on triangular plate

    Area=3/4xi(delta x) Does this look right?
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    Hydrostatic pressure on triangular plate

    a=3/8(4-xi) Sorry, I don't know where I got that either. I must need some rest.
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    Hydrostatic pressure on triangular plate

    Homework Statement A triangle with base 3 m and height 4 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. Homework Equations \int_{a}^{b}{\rho}g(x)w(x)dx The Attempt at...
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    Constraint and forces in two-pulley two-mass system

    m1 moves half the distance of m2? or the other way around. Confusing! Okay P1 is half of P2 so m1 moves half the distance of m2. I think.
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    Constraint and forces in two-pulley two-mass system

    I'm not sure how to determine how far m1 moves relative to m2.
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    Constraint and forces in two-pulley two-mass system

    \sum Fy = m_{2}g - T = ma_{2} \sum Fx = T_{1}+T_{2} = ma_{1} T2 being the tension in P1?
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    Constraint and forces in two-pulley two-mass system

    Okay the diagram was confusing. I thought it was all one rope. Tension T would be related to P2. Not sure how I would proceed next.
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    Constraint and forces in two-pulley two-mass system

    Homework Statement An object of mass on a frictionless horizontal table is connected to an object of mass m2 through a very light pulley P1 and a light fixed pulley P2. (a) If a1 and a2 are the accelerations of m1 and m2, respectively, what is the relation between these accelerations? Express...
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    Volume of solid from rotating x=1-y⁴ about x=10

    I think I messed up my algebra somewhere. Could someone check over this for me? Thanks. \pi \; \int_{-1}^{1}{\left( 100\; -\; \left( 100+10+10y^{4}+10+1+y^{4}+10y^{4}+y^{4}+y^{8} \right) \right)}dy \pi \; \int_{-1}^{1}{\left( -21-22y^{4}-y^{8} \right)}dy \pi \; \left[ -21y\...
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    Volume of solid from rotating x=1-y⁴ about x=10

    Yeah, I must have caught that while you were posting.
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    Volume of solid from rotating x=1-y⁴ about x=10

    Okay, Thank you! I think I'm on the right path now. No? \pi \int ((10^{2}) - (10-(1-y^{4}))^{2})dy
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    Volume of solid from rotating x=1-y⁴ about x=10

    Should the inner radius be 1+y^4 ?
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    Volume of solid from rotating x=1-y⁴ about x=10

    Homework Statement The region bounded by the given curves is rotated about x = 10 x=1-y^{4}, x=0 Find the Volume V of the resulting solid by any method. Homework Equations The Attempt at a Solution I'm using the washer method. Not sure if it is being setup properly as I'm getting the...
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    Integration by Parts substitution

    Got it. Thank you both! Very helpful.