2. If y(t) is the vertical distance traveled at time t, then the same reasoning as used in Problem 1shows that v2= (2gy)/(1+I*) at any time. Use this result to show that y satisfies the differential equation
dy/dt=sqrt(2g/(1+I*))*(sin alpha)*sqrt(y)
where a is the angle of inclination of...
Homework Statement
How do you derive the moment of inertia for a hollow sphere?
I am not ending up with what i need to get which is: (8pir^5)/9
Homework Equations
I am not sure if the bounds are correct or if we need to factor something else in. The Attempt at a Solution
A double integral...