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
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
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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- Draw a free-body diagram of all the forces acing on the mass m and for all the forces acting on both the pulleys.
- Show that the minimum tension T1 for the mass to start sliding up the slope is about 3580 N.
- Hence, determine the tensions T2, T3 and the minimum force F for the mass to start sliding up the slope.
- 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.
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