a slider - crank mechanism is shown in the figure. find the distance between the wrist pin w and the…

Explanation:

Step1: Identify the formula

We use the Law of Cosines. For a triangle with sides (a), (b), (c) and the angle (\theta) opposite to side (c), (c^{2}=a^{2}+b^{2}-2ab\cos\theta). Here, let (a = 10.3) cm, (b=27.6) cm and (\theta = 26.2^{\circ}), and we want to find the length of the side (c) (distance between (W) and (C)).

Step2: Substitute values into the formula

[ \begin{align*} c^{2}&=(10.3)^{2}+(27.6)^{2}-2\times10.3\times27.6\times\cos(26.2^{\circ})\ c^{2}&=106.09 + 761.76- 567.12\times0.8979\ c^{2}&=106.09+761.76 - 509.32\ c^{2}&=358.53 \end{align*} ]

Step3: Solve for (c)

[c=\sqrt{358.53}\approx18.9]

Answer:

(18.9)