(a) What minimum force F is needed to lift the piano (mass

Chapter 19, Problem 78GP

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QUESTION:

(a) What minimum force  is needed to lift the piano (mass  ) using the pulley apparatus shown in Fig.  ? (b) Determine the tension in each section of rope:

\(F_{T 1}, F_{T 2}, F_{T 3}, \text { and } F_{T 4}\)

Equation Transcription:

Text Transcription:

F_T1, F_T2, F_T3, and F_T4

Questions & Answers

QUESTION:

(a) What minimum force  is needed to lift the piano (mass  ) using the pulley apparatus shown in Fig.  ? (b) Determine the tension in each section of rope:

\(F_{T 1}, F_{T 2}, F_{T 3}, \text { and } F_{T 4}\)

Equation Transcription:

Text Transcription:

F_T1, F_T2, F_T3, and F_T4

ANSWER:

Solution 78GP: In the first part, we have to derive the relation between the minimum applied force F in terms of mass of the piano M , while in the second part we have to derive the relation between the tensions in various part of the rope. Step 1 of 3 Concept: Newton’s second law: The net force F acting on an object of mass m produces an acceleration a in that object. Mathematically, F= ma. Tension is the internal developed in the rope, which depends upon the application and magnitude of force applied. Free body diagram of a body gives the diagrammatical representation of all the forces acting on the body in terms of magnitude and diagram, under the given situation.

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