9 b. A sign (including the post and base) weighs 40 pounds and is
supported by an 18 in. x 18 in. square base, as shown in the illustration
below.
• If the wind applies a force of 13.2 lb to the sign at the geometric center
of the sign surface, will the sign tip over? YES
• If so, how much evenly distributed weight (sand bags) should be
added to the base of the sign to keep it from tipping when the wind
blows? (precision of 0.0 lb)

The weight should be added to the base of the sign to keep it from tipping is 65.6 lb

Explanation:

Given data:

A sigh weighs 40 pounds

Suported by an 18 in x 18 in square

Force of the wind 13.2 lb

Questions: Will the sign tip over, if yes, how much evelnly distributed weight should be added to the base of the sign to keep it from tipping, W = ?

The sign and the post have a length of 6 ft. You need to calculate the distance from the edge to the middle point:

18/2 = 9 in = 0.75 ft

Force acting in the base (40 lb):

The weight should be added to the base:

answer:

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