The device is used for surgical replacement 8


The device is used for surgical replacement of the knee joint. If the force acting along the leg is 360 N, determine its components along the x and y’ axes.

The device is used for surgical replacement

Solution:

Let us first draw the vector components as follows:

The device is used for surgical replacement

As stated in the question, the force components are directed along the x-axis and the y’-axis.

Now, we will draw the vectors tail to tail as follows:

The device is used for surgical replacement

Now we will use sine law to figure out F_x and F_{y'}

\frac{-F_x}{\sin20^0}=\frac{360}{\sin100^0}

F_x=-125N (negative because the force is directed along the negative x-axis)

\frac{F_{y'}}{\sin60^0}=\frac{360}{\sin100^0}

F_{y'}=317N

This question can be found in Engineering Mechanics: Statics (SI edition), 13th edition, chapter 2, question 2-13.

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