/The picture of the trapezoid below is not drawn to 6.) scale. The moment of ine

Question

/The picture of the trapezoid below is not drawn to 6.) scale. The moment of inertia of a thin, uniform, flat, isosceles trapezoidal plate of mass is ma'4 for rotation about the axis AB, where a is the perpendicular distance between the sides AB and CD. The side AB is of length 6a and the side CD is of length 2a. With A as the origin, the x-axis along AB and the y- axis perpendicular to AB, the centre of mass of the trapezoid is located at co-ordinates (3a, 5a/12). Using the information given, find the moment of inertia of the trapezoid for rotation about CD

Explanation / Answer

Let moment of inertia about center be I

Moment of inertia about AB=I+m(5a/12)^2=ma^2/4

We got I=11ma^2/144

Moment of inertia about CD=I+m(7a/12)^2=5ma^2/12

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