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2) An elevator of mass m is lifted by a winch with a masslesscable through two frictionless, massless pulleys. (i) Draw relevant free-body diagrams. (ii)

2) An elevator of mass m is lifted by a winch with a masslesscable through two frictionless, massless pulleys.

(i) Draw relevant free-body diagrams.

(ii) If the elevator is at rest, what is the tension T1? tensionT2? How does the answer change if the lift is moving with constantvelocity v?

(iii) Let the winch raise the elevator elevator so that itaccelerates upward with magnitude a. Now what is the tensionT1?

(iv) The winch breaks. As the elevator falls, the friction inthe broken winch pulls on the cord with force f. What is thedownward acceleration of the elevator?

image

T 3 Winch T2

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