Question

In a simple machine, whose velocity ratio is $30$, a load of $2400$ N is lifted by an effort of $150$ N and a load of $3000$ N is lifted by an effort of $180$ N. Find the law of machine -

• A. $P=0.50W+144$
• B. $P=0.60W+25$
• C. $P=0.05W+144$
• D. $P=0.05W+30$

Answer 1

The correct option is D $P=0.05W+30$

law of machine is $p=mw+c$ $p=$ effort $w=\mathrm{load}$

here $P_1=150N,W_1=2400N$

$\begin{array}{cc}& P_2=180N{W}_2=3000N\\ 150& =2400m+C\\ -180& =3000m+C_1,\\ 30& =600m\\ \text{on}& m=0.05\end{array}$

$\text{Ans, -}P=0.05W+30$ Ans:D