Question

A force of 567 lb is required to pull a boat up a ramp inclined at 26° with the horizontal. How much does the boat weigh?Option 1: 1293 lbOption 2: 510 lbOption 3: 541 lbOption 4: 1803 lb

Answer 1

$\begin{gathered} +\rightarrow\Sigma Fx=0 \\ 567lb-Weigh\text{ x=0} \\ 567lb=Weigh\text{ x} \\ But \\ Weigh\text{ x= Weigh sin\lparen26 \degree\rparen} \\ Solving\text{ Weigh} \\ Weigh=\frac{Weigh\text{ x}}{sin\left(26°\right)} \\ \\ We\imaginaryI gh=\frac{567lb}{s\imaginaryI n(26)} \\ Weigh=1293\text{ lb} \\ \text{The weigh is 1293 lb} \end{gathered}$