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(Solved): Learning Goal: To determine the center of gravity of a composite body using the principle of super ...



Learning Goal:
To determine the center of gravity of a composite body using the
principle of superposition.
The layout shown Figure
N
b
<
1 of 1
>Part A - The x Component of the Center of Gravity of All the Components
Determine the component of the center of gravity of a

Learning Goal: To determine the center of gravity of a composite body using the principle of superposition. The layout shown is a representation of a machine shop. Components 1 and 2 have masses of m? = 255kg and m2 = 225kg, respectively. Component 3 must be treated as a distributed load, which is w = 160 kg/m², determined by the area of contact between the component and the shop floor. The dimensions shown have been measured to be a = 0.650 m, b=2.70 m, c = 2.00 m, d = 0.550 m, e = 4.00 m, and f = 1.40 m. These dimensions represent the x and y components of the locations of the centers of gravity for the respective components. Component 3 has x, y cross-sectional dimensions of #3 = 1.10 m and y3 = 0.250 m. Assume the components experience uniform weight distribution in all principle directions. The dimensions a through f locate the centroid of the respective component from the y- z plane and z-z plane. (Figure 1) Figure N b < 1 of 1 > Part A - The x Component of the Center of Gravity of All the Components Determine the component of the center of gravity of all the components. Express your answer to three significant figures and include the appropriate units. ? View Available Hint(s) = Submit _? y = Submit ? Part B - The y Component of the Center of Gravity of All the Components Determine the y component of the center of gravity of all the components. Express your answer to three significant figures and include the appropriate units. ? View Available Hint(s) z = ?A Value Submit ?A Value Di Part C - The z Component of the Center of Gravity of All the Components Units If the heights of the components are given as z? = 1.90 m, z? = 0.750 m, and z3 = 0.150 m, determine the z component of the center of gravity of all the components. Express your answer to three significant figures and include the appropriate units. ? View Available Hint(s) HÅ Units Value Units ?


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Solution : Part A : x component of ce
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