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.