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Three toy blocks are stacked to form a channel shape. Each block has dimensions a = 22 mm and b = 66 mm. Determine the vertical distance from the table to the centroid of the shape.

Three toy blocks are glued together to form a beam that supports a vertical shear force of 143 N. Each block has dimensions a = 20 mm and b = 60 mm. Determine the horizontal shear stress in the glue between blocks (1) and (2). The moment of inertia around the horizontal centroidal axis of the beam is 4,280,000 mm4.

A 50-N eagle sits on a tee-shaped post that has a diameter of 59 mm. Determine the magnitude of the largest normal stress in the vertical part of the post. Let a = 0.35 m be the distance from the eagle to the centroid of the post.

Three toy blocks are stacked to form an I-shape. Each block has dimensions a = 10 mm and b = 30 mm. Determine the moment of inertia about the horizontal centroidal axis for the shape.

Three toy blocks are stacked to form an I-shape. Each block has dimensions a = 15 mm and b = 45 mm. Determine the moment of inertia about the horizontal centroidal axis for the shape.

A 52-N eagle sits on a tee-shaped post that has a diameter of 51 mm. Determine the magnitude of the largest normal stress in the vertical part of the post. Let a = 0.40 m be the distance from the eagle to the centroid of the post.

A 2,210-lb dinosaur stands on a simply-supported beam. Determine the maximum bending moment in the beam. Let a = 5.5 ft and b = 10.0 ft.

A 2,580-lb dinosaur stands on a simply-supported beam. Determine the maximum bending moment in the beam. Let a = 6.7 ft and b = 10.1 ft.

Find the difference quotient and simplify your answer.  Given f(x) = 2×2 + 3x -1, find  For your answer, just enter the coefficient for the “constant” term.

Find the average rate of change for the following function.   f(x) = -x2 + 8x – 4;   x1 = 0 and x2 = 4