Part c Block A has a rnass of mA = 41 0 kg and resis on a nat sufau ; Figure 3 T

Question

Part c Block A has a rnass of mA = 41 0 kg and resis on a nat sufau ; Figure 3 The Uem "et of st lic friction between the block and the surface 's ? A 0.200. The coefficient of static friction between the rope and the fixed peg B is 0 280. The width of the block is d 0.300 . Find the greatest mass, me, that weight C can have such that block A does not move Express your answer numerically in kilograms to three significant figures View Available Hints) Figure 3 of 3 mc 23.70 kg 0.500 m 300 m 0.200m A Submit X Incorrect, Try Again

Explanation / Answer

At the greatest mass, mc , the system will be in equilbrium which means the tension in the rope in Bc portion shall be,

T1=mc*g

Frcition force between block and surface, F=ma *g*ua = 41*10* 0.2 = 82 N (Assuming g=10)

Hence, tension in the rope between AB portion T2 = 82 *(0.5/0.4) = 102.5 N

Normal force on the peg, N = 82* (0.5/0.3) = 136.67 N

At equilbrium, T1 = T2 + 0.28*N

hence, mc = (102.5 +(0.28*136.67))/10 = 14.077 Kg

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