6. given the graph below, calculate the mechanical advantage of all 3 pulley systems (show all work)…

Explanation:

Step1: Recall mechanical advantage formula

The mechanical advantage (MA) of a pulley - system is given by $MA=\frac{F_{out}}{F_{in}}$, where $F_{out}$ is the output force and $F_{in}$ is the input force.

Step2: For pulley - system A

From the graph, when we choose a point on the line of pulley - system A, say when $F_{in} = 2000\ N$, $F_{out}=8000\ N$. Then $MA_A=\frac{F_{out}}{F_{in}}=\frac{8000}{2000}=4$.

Step3: For pulley - system B

Choose a point on the line of pulley - system B. Let's take when $F_{in}=2000\ N$, $F_{out} = 12000\ N$. Then $MA_B=\frac{F_{out}}{F_{in}}=\frac{12000}{2000}=6$.

Step4: For pulley - system C

Choose a point on the line of pulley - system C. When $F_{in}=2000\ N$, $F_{out}=16000\ N$. Then $MA_C=\frac{F_{out}}{F_{in}}=\frac{16000}{2000}=8$.

Answer:

The mechanical advantage of pulley - system A is 4, of pulley - system B is 6, and of pulley - system C is 8.