A cable passes around three 30-mm-radius pulleys and supports two blocks as shown. Pulleys C and E

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A cable passes around three 30-mm-radius pulleys and supports two blocks as shown. Pulleys C and E are locked to prevent rotation, and the coefficients of friction between the cable and the pulleys are μs = 0.20 and μk = 0.15. Determine the range of values of the mass of block A for which equilibrium is maintained

(a) If pulley D is locked,

(b) If pulley D is free to rotate.




90 mm 8 kg 120 mm


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