A flat horizontal square rocket launchpad is supported by a large column at each

Question

A flat horizontal square rocket launchpad is supported by a large column at each corner. Each side of the square faces one of the cardinal directions, North, East, South, West. Each side is 15 meters in length. The launch pad is 75,000 kg in mass. A 25,000 kg rocket sits on supports of total mass 5,000 kg centered 5 meters from the western edge of the square, exactly halfway between the north and south sides of the launchpad. What is the total force exerted by the launchpad columns on the

A) Northwest and Southwest sides?                                                                                     B) Northeast and Southeast sides?

Explanation / Answer

total mass of rocket = 25000 + 5000

total mass of rocket = 30000 kg

portion of mass on west side = 5 * 30000 / 15

force exerted on northwest and southwest side = (5 * 30000 / (2 * 15) + 75000 / 4) * 9.8

force exerted on northwest and southwest side = 232750 N

portion of mass on east side = 10 * 30000 / 15

force exerted on northeast and southeast side = (10 * 30000 / (2 * 15) + 75000 / 4) * 9.8

force exerted on northeast and southeast side = 281750 N

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