Answer: Consider the system shown in Fig. P6.81. The rope

Chapter 6, Problem 86P

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QUESTION:

Consider the system shown in Fig. P6.86. The rope and pulley have negligible mass, and the pulley is frictionless. The coefficient of kinetic friction between the 8.00-kg block and the tabletop is \(\mu_{k}=0.250\). The blocks are released from rest. Use energy methods to calculate the speed of the 6.00-kg block after it has descended 1.50 m.

Equation Transcription:

Text Transcription:

\mu_{k}=0.250

Questions & Answers

QUESTION:

Consider the system shown in Fig. P6.86. The rope and pulley have negligible mass, and the pulley is frictionless. The coefficient of kinetic friction between the 8.00-kg block and the tabletop is \(\mu_{k}=0.250\). The blocks are released from rest. Use energy methods to calculate the speed of the 6.00-kg block after it has descended 1.50 m.

Equation Transcription:

Text Transcription:

\mu_{k}=0.250

ANSWER:

Solution 86P

According to mass- energy theorem, the sum of kinetic energy of the whole system and the frictional force energy is equal to the potential energy.

Therefore, the necessary condition is,

…..(1)

Kinetic energy of the system is ( let  v be the speed)

Kinetic energy

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