Module Exam 05 in ESci 123m: Statics of Rigid Bodies Module Exam 05 in ESci 123m: Statics of Rigid Bodies Instruction: Read each item carefully and provide the necessary solutions and answers. Instruction: Read each item carefully and provide the necessary solutions and answers. 1. Determine the centroid, CG and CM (𝑥̅ ,𝑦̅) of the figure shown if the mass of the (8” by 5”) rectangle is 150 kg (w/o the hole), the (4” by 3”) rectangle is 120 kg, the triangle is 100 kg, and the semicircle is 400 kg. 1. Determine the centroid, CG and CM (𝑥̅ ,𝑦̅) of the figure shown if the mass of the (8” by 5”) rectangle is 150 kg (w/o the hole), the (4” by 3”) rectangle is 120 kg, the triangle is 100 kg, and the semicircle is 400 kg. 2. Determine the centroid (𝑥̅ ) of the curve 𝑦 = 5𝑥 3 − 𝑥 + 3 from x = 0 to x = 1. 2. Determine the centroid (𝑥̅ ) of the curve 𝑦 = 5𝑥 3 − 𝑥 + 3 from x = 0 to x = 1. 3. Locate the centroid (𝑥̅ ,𝑦̅) of the shaded area enclosed by the curve 𝑦 2 = 3𝑥 and the straight line shown in the figure. 3. Locate the centroid (𝑥̅ ,𝑦̅) of the shaded area enclosed by the curve 𝑦 2 = 3𝑥 and the straight line shown in the figure. 4. A ring is formed by rotating the area 360° about the x – x axes. Determine its surface area and volume. 4. A ring is formed by rotating the area 360° about the x – x axes. Determine its surface area and volume. 5. Determine the centroid (𝑥̅ ) and the volume of the figure shown below. 5. Determine the centroid (𝑥̅ ) and the volume of the figure shown below.
