# Learning Goal: To determine the center of gravity of a composite body using the principle of superposition.

## Question:

**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*1=250kg and *m*2=215kg, 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*=3.00 m,*c*=1.90 m, *d*=0.700 m, *e*=4.00 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 *x*3=1.10 m and *y*3=0.150 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.

Determine the *x* component of the center of gravity of all the components.

Determine the *y* component of the center of gravity of all the components.

If the heights of the components are given as *z*1=1.90 m, *z*2=0.700 m, and *z*3=0.200 m, determine the *z* component of the center of gravity of all the components

**Related Book For**

## Physics

ISBN: 978-0077339685

2nd edition

Authors: Alan Giambattista, Betty Richardson, Robert Richardson