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(Solved): Two motors provide the required tension in the cables raising the scaffolding shown below. The twopa ...
Two motors provide the required tension in the cables raising the scaffolding shown below. The two
painters each weigh 90 kg, and the total weight of the platform and motors is 100 kg. The platform should be
raised at a constant velocity of 0.5
m/s, and should reach this speed from rest with constant acceleration over a 0.2
second interval. For each pulley arrangement shown below determine the tension that must be supplied by each
motor to keep the platform at a constant speed, and tension to pro
vide the required acceleration from rest. What
advantages are provided by the addition of the pulley systems?
c)
Expert Answer
Draw a free-body diagram for each object in the system, showing all the forces acting on it.Label the forces and their directions. Assume the mass of the string and the pulley are negligible.The free-body diagrams for each object are shown below: |<-- T1 -->| |<-- T2 -->| | | | | | | | | | | | | | | | | | | | | | | | | v v v v +-----+ +-----+ +-----+ | m1 | | m2 | | m3 | +-----+ +-----+ +-----+ ^ ^ ^ | | | W1 W2 W3where T1 and T2 are the tensions in the strings, W1 = m1g, W2 = m2g, and W3 = m3g are the weights of the objects.