For the laser-cut plate shown as the shaded area shown in the first diagram below, calculate the Moment of Inertia about the x-axis. Given: a = 30 mm, b = 35 mm, r = 30 mm For the solution of this problem, the plate may be considered to be a composite shape made of the positive area of the rectangle (1) and negative areas of the quarter circle (2) and triangle (3) as shown (2) DA (1) (3)

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Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.