To solve this problem, we need to calculate three values: Mechanical Advantage (MA), Velocity Ratio (VR), and Efficiency. Let's go through the calculations step-by-step.
### Step 1: Calculate Mechanical Advantage (MA)
Mechanical Advantage is defined as the ratio of the load to the effort.
[tex]\[ MA = \frac{\text{Load}}{\text{Effort}} \][/tex]
Given:
- Load = 450 N
- Effort = 300 N
So,
[tex]\[ MA = \frac{450\text{ N}}{300\text{ N}} = 1.5 \][/tex]
### Step 2: Determine the Velocity Ratio (VR)
For a single movable pulley, the Velocity Ratio is typically given as 2. This is a characteristic property of the pulley system.
### Step 3: Calculate Efficiency
Efficiency can be calculated using the formula:
[tex]\[ \text{Efficiency} = \left( \frac{MA}{VR} \right) \times 100 \% \][/tex]
We have already calculated MA as 1.5 and VR is given as 2. Let's plug these values into the formula:
[tex]\[ \text{Efficiency} = \left( \frac{1.5}{2} \right) \times 100 \% = 0.75 \times 100 \% = 75 \% \][/tex]
### Summary
Based on the calculations, we have:
- Mechanical Advantage (MA) = 1.5
- Velocity Ratio (VR) = 2
- Efficiency = 75%
These are the values after solving the problem:
[tex]\[ MA = 1.5 \][/tex]
[tex]\[ VR = 2 \][/tex]
[tex]\[ \text{Efficiency} = 75\% \][/tex]
