Q4.3/4. Please answer all the questions and show your work clearly. Thank you. A
ID: 1535298 • Letter: Q
Question
Q4.3/4. Please answer all the questions and show your work clearly. Thank you.
As shown in the picture, a block W with a mass of m = 8.80 kg is suspended by a pulley assembly. Calculate the magnitude of force F needed to keep the block at rest. Ignore the mass of the pulley assembly. Answer: A. 86.2 N B. 43.1 N C. 28.7 N D. 21.6 N As shown in the picture below, a triangular block is suspended by two ropes from the ceiling. The mass of the block is M = 12.0 kg. Find the tension forces T_1 and T_2 in the two ropes. Answer: A. T_1 = 92.3 N and T_1 = 78.8 N B. T_1 = 86.1 N and T_2 = 60.9 N C. T_1 = 84.9 N and T_2 = 65.7 N D. T_1 = 71.2 N and T_2 = 82.0 NExplanation / Answer
3) m = 8.8kg
Net force along vertical direction right side pulley
2T = mg = 8.8*9.8
T = 43.1 N
Net force along horizontal direction on left side pulley
F = T = 43.1 N
correct option is (B)
4) M = 12 kg
Net force along vertical direction
T1cos(30) +T2cos(45) = Mg
T1cos(30) +T2cos(45) = 12*9.8 ..(1)
net force allong horizontal direction
T1 sin(30)= T2 sin(45) ... (2)
from (1) and (2)
T1 = 86.1 N , T2 = 60.9 N
Correct option is (B)
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