Consider a vertical elevator whose cabin has a total mass of 800 kg when fully loaded and 150 kg when empty. The weight of the elevator cabin is partially balanced by a 400-kg counterweight that is connected to the top of the cabin by cables that pass through a pulley located on top of the elevator well. Neglecting the weight of the cables and assuming the guide rails and the pulleys to be frictionless, determine (a) the power required while the fully loaded cabin is rising at a constant speed of 1.2 m/s and (b) the power required while the empty cabin is descending at a constant speed of 1.2 m/s. What would your answer be to (a) if no counterweight were used? What would your answer be to (b) if a friction force of 800 N has developed between the cabin and the guide rails?
Consider a vertical elevator whose cabin has a total
mass of 800 kg when fully loaded and 150 kg when empty.
The weight of the elevator cabin is partially balanced by
a 400-kg counterweight that is connected to the top of the
cabin by cables that pass through a pulley located on top of
the elevator well. Neglecting the weight of the cables and
assuming the guide rails and the pulleys to be frictionless,
determine (a) the power required while the fully loaded cabin
is rising at a constant speed of 1.2 m/s and (b) the power
required while the empty cabin is descending at a constant
speed of 1.2 m/s.
What would your answer be to (a) if no counterweight
were used? What would your answer be to (b) if a friction
force of 800 N has developed between the cabin and the
guide rails?
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