Question
Download Solution PDFThe effort applied to move a load is 15 units and the mechanical advantage is observed to be 3. Find the load.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Mechanical Advantage:
- In a simple machine when the effort(P) balances a load (W), the ratio of the load to the effort is called MA.
- \(M.A = \frac{{Load}}{{Effort}} = \frac{W}{P}\)
Velocity Ratio:
- It is the ratio between the distance moved by the effort to the distance moved by the load.
- \(V.R = \frac{{distance\;moved\;by\;the\;effort\;\left( {{d_P}} \right)}}{{distance\;moved\;by\;the\;load\;\left( {{d_w}} \right)}}\)
Efficiency:
- It is the ratio of output to input. In a simple mechanism, it is also defined as the ratio of mechanical advantage to the velocity ratio.
- \(\eta = \frac{{Output}}{{Input}} = \frac{{M.A}}{{V.R}}\)
- In actual machines, a mechanical advantage is less than the velocity ratio
- In an ideal machine, the mechanical advantage is equal to the velocity ratio.
Calculation:
Given:
Effort (P) = 15 units, MA = 3
\(M.A = \frac{W}{P}\)
\(3 = \frac{W}{15}\)
Load, W = 45 units
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