Problem 1.1 A 2D plate in the 1st quadrant is bounded by X-axis, the curve y? = x %3D and x = 4 a. Make a CLEAR NEAT LARGE SKETCH of the plate, show vertical and horizontal elements of area on it b. On the sketch show dimensions of both elements and the arm length for each element. C. Write the differentials of the Area d. Find the Area of the plate by either element e. Find the coordinates of the Centroid of the plate f. Write a Differential of Moment of Inertia with respect to its axis h. Find the Moment of Inertia of the plate with respect to its axis i. Find the Radius of Gyration of the plate with respect to its axis
Problem 1.1 A 2D plate in the 1st quadrant is bounded by X-axis, the curve y? = x %3D and x = 4 a. Make a CLEAR NEAT LARGE SKETCH of the plate, show vertical and horizontal elements of area on it b. On the sketch show dimensions of both elements and the arm length for each element. C. Write the differentials of the Area d. Find the Area of the plate by either element e. Find the coordinates of the Centroid of the plate f. Write a Differential of Moment of Inertia with respect to its axis h. Find the Moment of Inertia of the plate with respect to its axis i. Find the Radius of Gyration of the plate with respect to its axis
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