Force Analysis of an Elevator Moving Upward

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SUMMARY

The discussion focuses on the forces acting on an elevator moving upward, specifically the tension (T) in the cable and the weight (w) due to gravity. When the elevator accelerates upward, T is greater than w. At constant upward velocity, T equals w. When the elevator accelerates downward, T is less than w. For a 1,500 kg elevator accelerating upward at 2.5 m/s², T is calculated to be 16,125 N, confirming the relationship established in part (a). At a constant velocity of 10 m/s, T remains 14,700 N, consistent with part (b). Finally, when accelerating downward at 1.50 m/s², T is found to be 13,950 N, aligning with part (c).

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  • Understanding of Newton's Second Law of Motion
  • Basic concepts of forces: tension and weight
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  • Study Newton's Second Law and its applications in real-world scenarios
  • Learn about the dynamics of elevators and related mechanical systems
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  • Investigate the effects of friction and air resistance on moving objects
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Physics students, engineers, and anyone interested in understanding the mechanics of moving systems, particularly in the context of elevators and force analysis.

ahh86
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please help me...

(a) An elevator of mass m moving upward has two forces
acting on it: the upward force of tension in the cable and
the downward force due to gravity. When the elevator is
accelerating upward, which is greater, T or w? (b) When
the elevator is moving at a constant velocity upward,
which is greater, T or w? (c) When the elevator is moving
upward, but the acceleration is downward, which
is greater, T or w? (d) Let the elevator have a mass of
1 500 kg and an upward acceleration of 2.5 m/s2. Find T.
Is your answer consistent with the answer to part (a)? (e)
The elevator of part (d) now moves with a constant up-
ward velocity of 10 m/s. Find T. Is your answer consistent
with your answer to part (b)? (f) Having initially moved
upward with a constant velocity, the elevator begins to ac-
celerate downward at 1.50 m/s2. Find T. Is your answer
consistent with your answer to part (c)?
 
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