Question

A rectangle with a base labeled uppercase L and a height labeled lowercase w. A vertical, dashed line runs along the leftside of the rectangle's height. A circular arrow around the vertical, dashed line indictates that the rectangle rotates about its left edge.

Calculate the moment of inertia if the plate has a length of 9.00 cm, a width
of 7.00 cm, and a uniform mass density of 2.50 g/cm^2

Answer 1

A = wL = 63 cm²

m = (2.5 g/cm²)(63 cm²)

m = 157.5 g = 0.1575kg

`I=(1)/(3) mL^2\\\\I = (1)/(3)(0.1575kg)(0.09m)^2`

I = 4.2525×10⁻⁴ kg/m²