Question

Asked Mar 25, 2019

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The figure shows a composite slab with dimensions *d*_{1} = 11.7 cm, *d*_{2} = 3.93 cm, and *d*_{3} = 12.9 cm. Half the slab consists of aluminum (density = 2.70 g/cm^{3}) and half consists of iron (density = 7.85 g/cm^{3}). What are **(a)** the *x* coordinate, **(b)** the *y* coordinate, and **(c)** the *z* coordinate of the slab's center of mass?

Step 1

The coordinate of the slab’s center of mass can be calculated using following steps.

Given:

Step 2

Calculation:

Let’s consider that the origin of the slab is at the left corner of the slab according to the diagram.

Distance d_{3} is the distance along x-axis, distance d_{1} is the distance along y-axis and distance d_{2} is

the distance along z-axis.

a) x-coordinate of the center of mass is,

Step 3

b) z-coordinate of the c...

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