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Description: Problem 1. Determine the π₯- and π¦-coordinates of the centroid of the shaded area.
Problem 2. Calculate the x-, y-, and z-coordinates of the mass center of the fixture formed from
aluminum plate of uniform thickness
Problem 3. Plot the shear and moment diagrams for the beam loaded with both the distributed and
point loads. What are the values of the shear and moment at π₯ = 6π? Determine the maximum
bending moment ππππ₯.
Problem 4. The uniform 62-kg pole of 150-mm diameter is hinged at A, and its lower end is immersed in
fresh water. Determine the tension T in the vertical cable required to maintain C at a depth of 1 m.
Problem 5. A cable supports a load of uniformly distributed along the horizontal and is suspended from
two fixed points A and B located as shown. Calculate the cable tensions at A and B and the minimum
tension π0.
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