The layout shown is a representation of a machine shop. Components 1 and 2 have masses of m1=265kg and m2=220kg , respectively. Component 3 must be treated as a distributed load, which is w=175 kg/m2 , determined by the area of contact between the component and the shop floor. The dimensions shown have been measured to be a=0.600 m , b=2.00 m , c=1.60 m , d=0.650 m , e=3.10 m , and f=1.10 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 x3=1.30 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 x−z plane.(Figure 1) Part A - The x Component of the Center of Gravity of All the Components Determine the x component of the center of gravity of all the components. Express your answer to three significant figures and include the appropriate units. 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. Part C - The z Component of the Center of Gravity of All the Components If the heights of the components are given as z1=2.00 m , z2=0.750 m , and z3=0.200 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.
The layout shown is a representation of a machine shop. Components 1 and 2 have masses of m1=265kg and m2=220kg , respectively. Component 3 must be treated as a distributed load, which is w=175 kg/m2 , determined by the area of contact between the component and the shop floor. The dimensions shown have been measured to be a=0.600 m , b=2.00 m , c=1.60 m , d=0.650 m , e=3.10 m , and f=1.10 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 x3=1.30 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 x−z plane.(Figure 1)
Part A - The x Component of the Center of Gravity of All the Components Determine the x component of the center of gravity of all the components. Express your answer to three significant figures and include the appropriate units.
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.
Part C - The z Component of the Center of Gravity of All the Components If the heights of the components are given as z1=2.00 m , z2=0.750 m , and z3=0.200 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.
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