A long thin rod lies along the x-axis from the origin to x=L, with L= 0.750 m. The mass per unit length, λ (in kg/m) varies according to the equation λ = λ0 (1+1.410x3). The value of λ0 is 0.600 kg/m and x is in meters.
1) Calculate the total mass of the rod.
(in kg)
2) Calculate the x-coordinate of the center of mass of the rod.
(in m)
3) Calculate the moment of inertia of the rod with respect to the y-axis.
(in kg*m^2)