The machinist's square shown in Figure 53 consists of a

Chapter 18, Problem 53GP

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QUESTION:

The machinist's square shown in Figure 53 consists of a thin, rectangular blade connected to a rectangular handle. a. Determine the ?x and y coordinates of the center or gravity. Let the lower left c? ? ner be? ? 0, y = 0. b. Sketch how the tool would hang if it were allowed to freely pivot about the ? ? point ?x = 0,? = 0. c. When hanging from that point, what angle would the long side of the blade make with the vertical? FIGURE 53

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QUESTION:

The machinist's square shown in Figure 53 consists of a thin, rectangular blade connected to a rectangular handle. a. Determine the ?x and y coordinates of the center or gravity. Let the lower left c? ? ner be? ? 0, y = 0. b. Sketch how the tool would hang if it were allowed to freely pivot about the ? ? point ?x = 0,? = 0. c. When hanging from that point, what angle would the long side of the blade make with the vertical? FIGURE 53

ANSWER:

Solution A. Here we have to calculate the center of gravity of lower left corner.generally the center of gravity of two particle system is given by (x cg, cg((x m 1x 1 )/(2 +2 ),(y1m +y 2 )/(1 +1 ) 2 2 1 2 Consider center of gravity of blade and handle as (x y )and(x b band toth, henter of gravity of entire square as(x c.g, c.g Given data: Mass of the blade m = 80 g b

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