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(Ufscar-SP) A polia e os fios da figura são considerados ideais, sem
inércia. O fio é perfeitamente flexível e não há atritos a considerar.

Considere g = 10 m/s². Dadas as massas mA = 40 kg, mB = 24
kg, determine as acelerações αA (do corpo A) e αB (do corpo
B) quando:
a) Q = 400 N;
b) Q = 720 N;
c) Q = 1.200N.
Resolução


T


Q
2


PA


T


PB


Q
2
Letra (a), Q = 400 N


T


FR

200

400

200 N


T


FR

200 N

Portanto não entra em
movimento.


PA

400 N

200 N


PB

200

240

40 N

Portanto não entra em
movimento.

240 N
Letra (b), Q = 720 N


T

FR

360

400

360 N
40 N

Portanto não entra em
movimento.


PA

400 N


T

360 N

FR 360 240 120 N
120 mB .aB
120
aB
5m / s ²
24

PB 240 N
Letra (c), Q = 1200 N


FR


T

600 N

600 400 200 N

200 m A .a A
aA

200
40

5m / s ²


PA

400 N


T

600 N

FR 600 240 660 N
360 mB .aB
360
aB
15m / s ²
24

PB 240 N

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Pre vest 30-10-2013

  • 1. (Ufscar-SP) A polia e os fios da figura são considerados ideais, sem inércia. O fio é perfeitamente flexível e não há atritos a considerar. Considere g = 10 m/s². Dadas as massas mA = 40 kg, mB = 24 kg, determine as acelerações αA (do corpo A) e αB (do corpo B) quando: a) Q = 400 N; b) Q = 720 N; c) Q = 1.200N.
  • 3. Letra (a), Q = 400 N  T  FR 200 400 200 N  T  FR 200 N Portanto não entra em movimento.  PA 400 N 200 N  PB 200 240 40 N Portanto não entra em movimento. 240 N
  • 4. Letra (b), Q = 720 N  T  FR 360 400 360 N 40 N Portanto não entra em movimento.  PA 400 N  T 360 N  FR 360 240 120 N 120 mB .aB 120 aB 5m / s ² 24  PB 240 N
  • 5. Letra (c), Q = 1200 N  FR  T 600 N 600 400 200 N 200 m A .a A aA 200 40 5m / s ²  PA 400 N  T 600 N  FR 600 240 660 N 360 mB .aB 360 aB 15m / s ² 24  PB 240 N