To determine the centre 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 280kg and 215kg, respectively. Component 3 must be treated as a distributed load, which is 165kg/m2, determined by the area of contact between the component and the shop floor. The dimensions shown have been measured to be a=0.65m, b=2.60m, c=1.60m, d=0.65m, e=3.60m, and f=1.30m. These dimensions represent the and components of the locations of the centres of gravity for the respective components. Component 3 has cross-sectional dimensions of 1.30m and 0.250m. Assume the components experience uniform weight distribution in all principle directions. The dimensions locate the centroid of the respective component from the y-z plane and x-z plane. Part A - The x Component of the Center of Gravity of All the Components Determine the x component of the centre 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 centre 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 1.90m, 0.650m, and 0.200m, determine the z component of the centre of gravity of all the components.
To determine the centre 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 280kg and 215kg, respectively. Component 3 must be treated as a distributed load, which is 165kg/m2, determined by the area of contact between the component and the shop floor. The dimensions shown have been measured to be a=0.65m, b=2.60m, c=1.60m, d=0.65m, e=3.60m, and f=1.30m. These dimensions represent the and components of the locations of the centres of gravity for the respective components. Component 3 has cross-sectional dimensions of 1.30m and 0.250m. Assume the components experience uniform weight distribution in all principle directions. The dimensions locate the centroid of the respective component from the y-z plane and x-z plane. Part A - The x Component of the Center of Gravity of All the Components Determine the x component of the centre 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 centre 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 1.90m, 0.650m, and 0.200m, determine the z component of the centre of gravity of all the components.
