Show that the moment of inertia of a rectangular plate of mass m and sides та?ь? a and b about the diagonal is 6(a²+b²)

Problem 3: Suppose we want to calculate the moment of inertia of a 65.5 kg skater, relative to a vertical axis through their center of mass. Part (a) First calculate the moment of inertia (in kg m2) when the skater has their arms pulled inward by assuming they are cylinder of radius 0.11 m. sin() cos() tan() 7 8 9 HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END ODegrees O Radians Vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) Now calculate the moment of inertia of the skater (in kg m?) with their arms extended by assuming that each arm is 5% of the mass of their body. Assume the body is a cylinder of the same size, and the arms are 0.825 m long rods extending straight out from the center of their body being rotated at the ends.

A 7 kg point mass is at coordinates (5 m, 5 m), a 4 kg mass is at (-5,7) and a 5kg mass is at (x,y) of (4,-7).  Find the moment of inertia about the x axis.  Find Iz = __________ kg-m2

two uniform solid spheres,A and B have the same mass.Each spbere,A and B has their own axis of rotation,the radius of sohere B is twice of sphere A.Which one of the following is true? (give I = 2/5mr^2)  a)the moment of inertianof A IS 1/2 B b)the moment of inertianof A is 5/2 of B  c) the moment of inertia of A is 1/4 B  d)the two spheres have equal moments of inertia