The figure below shows a composite slab with dimensions d 1 = 13.3 cm, d 2 = 2.9

Question

The figure below shows a composite slab with dimensions d1 = 13.3 cm, d2 = 2.90 cm, and d3 = 13.5 cm. Half the slab consists of aluminum (density = 2.70 g/cm3) and half consists of iron (density = 7.85 g/cm3).

(a) What is the x coordinate of the slab's center of mass?
__ cm

(b) What is the y coordinate of the slab's center of mass?
__ cm

(c) What is the z coordinate of the slab's center of mass?
__ cm

The figure below shows a composite slab with dimensions d1 = 13.3 cm, d2 = 2.90 cm, and d3 = 13.5 cm. Half the slab consists of aluminum (density = 2.70 g/cm3) and half consists of iron (density = 7.85 g/cm^3). (a) What is the x coordinate of the slab's center of mass? cm (b) What is the y coordinate of the slab's center of mass? cm (c) What is the z coordinate of the slab's center of mass? cm

Explanation / Answer

It looks to me like the origin is at the bottom left corner of the slab, and that the slab has negative x-coordinate values and positive y-coordinate values. This is open to interpretation, though.

If so, then clearly x_cm = -d3 / 2 = -6.75 cm
and z_cm = d2 / 2 = 1.45 cm
(that is, on a line parallel to the y-axis and through the given "midpoint").

To find the y-coordinate, we could simply look at a chunk of the slab that is 1 cm

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