3. An elevator is supported bya steel cable. Recall that the tension in any cabl

Question

3. An elevator is supported bya steel cable. Recall that the tension in any cable, rope, orstring is simply the force with which it pulls on the object towhich it is attached.   The elevator and its passengersweigh 14,759.2 N. A) Determine the tension in the cable when theelevator and its contents are accelerating upward at 6.7m/s2. B) Determine the tension in the cable when theelevator and its contents are accelerating downward at 3.5m/s2. C) Determine the tension in the cable whenthe elevator and its contents are moving upward with a constantspeed of 9.8 m/s.

Kindly ProvideInformation for the steps as well.

Explanation / Answer

Weight of passenger and elevator W = 14759 N mass m = W / g            = 1506 kg (A). tension T = m ( a+ g )                      = 1506 ( 6.7 + 9.8 )                      = 24849 N (B ) tension T ' = m ( g - a ' )                        = 1506 ( 9.8 - 3.5 )                        = 9487.8 N (C). Tension T " = W = m,g                         = 14759 N

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