Two massless and frictionless pulleys are used to drag a large mass (m = 645 kg) up an inclined slope (0 = 18.0°) with light rigid cables. The larger pulley remains fixed in position with the help of a strong cable (under tension T) connected to a rigid wall. The coefficient of static friction between the mass and the slope is µ = 0.270. A force F is applied vertically downwards to pull the mass up the slope. T T₂ T₁ 0 m T3 F

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter7: Dry Friction
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  1. Draw a free-body diagram of all the forces acing on the mass m and for all the forces acting on both the pulleys.
  2. Show that the minimum tension T1 for the mass to start sliding up the slope is about 3580 N. 
  3. Hence, determine the tensions T2T3 and the minimum force F for the mass to start sliding up the slope. 
  4. Assuming that the cables with tensions T2 and T3 remain parallel to the inclined slope, determine the magnitude of the tension T in the strong cable just as the mass starts sliding up the slope.
Two massless and frictionless pulleys are used to drag a large mass (m = 645 kg) up an inclined slope (0 = 18.0°)
with light rigid cables. The larger pulley remains fixed in position with the help of a strong cable (under tension T)
connected to a rigid wall. The coefficient of static friction between the mass and the slope is µ = 0.270. A
force F is applied vertically downwards to pull the mass up the slope.
T
T₂
T₁
0
m
T3
F
Transcribed Image Text:Two massless and frictionless pulleys are used to drag a large mass (m = 645 kg) up an inclined slope (0 = 18.0°) with light rigid cables. The larger pulley remains fixed in position with the help of a strong cable (under tension T) connected to a rigid wall. The coefficient of static friction between the mass and the slope is µ = 0.270. A force F is applied vertically downwards to pull the mass up the slope. T T₂ T₁ 0 m T3 F
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