A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling, as shown above. One end of the rope is held by Študent A of mass 70 kg, who is at rest on the floor. The opposite end of the rope is held by Student B of mass 60 kg, who is suspended at rest above the floor. (a) On the dots below that represent the students, draw and label free-body diagrams showing the forces on Student A and on Student B. • B (b) Calculate the magnitude of the force exerted by the floor on Student A. Student B now climbs up the rope at a constant acceleration of 0.25 m/s° with respect to the floor. (c) Calculate the tension in the rope while Student B is accelerating. (d) As Student B is accelerating, is Student A pulled upward off the floor? Justify your answer. (e) With what minimum acceleration must Student B climb up the rope to lift Student A upward off the floor?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Student B
60 kg
Student A
70 kg
Transcribed Image Text:Student B 60 kg Student A 70 kg
A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling, as shown above. One
end of the rope is held by Študent A of mass 70 kg, who is at rest on the floor. The opposite end of the rope is
held by Student B of mass 60 kg, who is suspended at rest above the floor.
(a) On the dots below that represent the students, draw and label free-body diagrams showing the forces on
Student A and on Student B.
• B
A
(b) Calculate the magnitude of the force exerted by the floor on Student A.
Student B now climbs up the rope at a constant acceleration of 0.25 m/s’ with respect to the floor.
(c) Calculate the tension in the rope while Student B is accelerating.
(d) As Student B is accelerating, is Student A pulled upward off the floor? Justify your answer.
(e) With what minimum acceleration must Student B climb up the rope to lift Student A upward off the floor?
Transcribed Image Text:A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling, as shown above. One end of the rope is held by Študent A of mass 70 kg, who is at rest on the floor. The opposite end of the rope is held by Student B of mass 60 kg, who is suspended at rest above the floor. (a) On the dots below that represent the students, draw and label free-body diagrams showing the forces on Student A and on Student B. • B A (b) Calculate the magnitude of the force exerted by the floor on Student A. Student B now climbs up the rope at a constant acceleration of 0.25 m/s’ with respect to the floor. (c) Calculate the tension in the rope while Student B is accelerating. (d) As Student B is accelerating, is Student A pulled upward off the floor? Justify your answer. (e) With what minimum acceleration must Student B climb up the rope to lift Student A upward off the floor?
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