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371_Physics ProblemsTechnical Physics

# 371_Physics ProblemsTechnical Physics - Chapter 12 P12.57...

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Chapter 12 373 P12.57 From geometry, observe that cos θ = 1 4 and 75 5 . For the left half of the ladder, we have FTR xx =− = 0 (1) FRn yyA =+− = 686 0 N (2) τ top N + ° 686 1 00 75 5 2 00 75 5 .c o s. .s i n. af T −° = n A 400 755 0 o (3) For the right half of the ladder we have FRT =− = 0 Fn R yBy =−= 0 (4) top ° = nT B 200 0 o i (5) FIG. P12.57 Solving equations 1 through 5 simultaneously yields: (a) T = 133 N (b) n A = 429 N and n B = 257 N (c) R x = 133 N and R y = 257 N The force exerted by the left half of the ladder on the right half is to the right and downward. P12.58 (a) x mx m y ii i CG CG kg m kg kg kg m 1375 kg m kg m kg m kg m kg kg m = = +++ = = = 1 000 10 0 125 0 125 0 125
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