Pat builds a track for his model car out of wood. The track is 6 cm wide (along

Question

Pat builds a track for his model car out of

wood. The track is 6 cm wide (along the z

coordinate), 1 m high (along the y coordi-

nate) and 2.7 m long (along the x coordinate

starting from x = 0).

The runway is cut such that it forms part

of the left-hand side of a parabola,

y =(1/7.29 m)[x ? (2.7 m)]2

Locate the horizontal position of the center

of gravity of this track.

Pat builds a track for his model car out of wood. The track is 6 cm wide (along the z coordinate), 1 m high (along the y coordinate) and 2.7 m long (along the x coordinate starting from x = 0). The runway is cut such that it forms part of the left-hand side of a parabola, y =(1/7.29 m)[x ? (2.7 m)]2 Locate the horizontal position of the center of gravity of this track.

Explanation / Answer

y= integral(x*(1/7.29 m)[x ? (2.7 m)]2)dx/x*integral((1/7.29 m)[x ? (2.7 m)]2dx)

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