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...
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...
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\...
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...