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a heavy block is suspended from a ceiling using pulleys in three differ…

Question

a heavy block is suspended from a ceiling using pulleys in three different ways, as shown in the drawings. rank the tension in the rope that passes over the pulleys in ascending order (smallest first). o b,c,a o c,b,a o a,b,c o c,a b o b,a,c

Explanation:

Step1: Analyze case A

In a single - fixed pulley (case A), the tension $T_A$ in the rope is equal to the weight of the block, i.e., $T_A = mg$.

Step2: Analyze case B

In a system with two movable and one fixed pulley (case B), if the number of ropes supporting the load is $n = 3$, the tension $T_B=\frac{mg}{3}$.

Step3: Analyze case C

In a system with one movable and one fixed pulley (case C), if the number of ropes supporting the load is $n = 2$, the tension $T_C=\frac{mg}{2}$.

Step4: Compare the tensions

Since $\frac{mg}{3}<\frac{mg}{2}

Answer:

B. C, B, A