Homework Statement
. Set up and evaluate the iterated triple integral in spherical coordinates equivalent to the following iterated triple integral in cylindrical coordinates :∫∫∫dzrdrdθ(z goes from r to r√3,r goes from 0 to 1, goes from 0 to 2π
Homework Equations
conversion of...
Homework Statement
let u be a function of x and y.using x=rcosθ y=rsinθ,transform the following expressions in the terms of partial derivatives with respect to polar coordinates:(d^u/dx^2(double derivative of u with respect to x)+d^2u/dy^2(double derivative of u with respect to y)...
Homework Statement
a thin plank of mass m and length l is pivoted at 1 end.The plank is released at 60 degrees from the vertical. What is the magnitiude and direction of the force on the pivot when the plank is horizontal.
Homework Equations
conservation of energy
The Attempt at...
i wanted to say for example there is rod standing with base on ground.u hit it say with some ball or anything it will begin to rotate.on ball+rod system about what point (centre of mass or point on base on ground or any other point) can i conserve angular momentum and apply equations.in which...
Homework Statement
about
what point and about what kind of axis can we conserve angular momentum?can we conserve it about a point moving in circular motion?
Homework Equations
The Attempt at a Solution
its just a understanding based question to apply to problems
thank you the figure was indeed very helpful in understanding what actually is happening in question.can we solve it about the origin taken as centre of mass of the ring also?
Homework Statement
a ring of mass M and radius r lies on its side on a frictionless table.it is pivoted to table at its rim.a bug of mass m walks around the ring with speed v,starting at the pivot.what is the rotational velocity of the ring when the bug is a) halfway around b)back at the pivot...