Two-Dimensional Force System: Problem Solving

Consider a wiper inclined at an angle of 25 degrees to the baseline 's' in a two-dimensional system. A force acting on the handle, pivoted to the center of the wiper, makes an angle of 20 degrees with the reference line 'c', which is parallel to baseline 's.'

If the force component along the a-axis is 65 Newtons, determine the magnitude of the force and its component along the b-axis.

Here, considering alternate angles, coa‘ becomes 25 degrees, while angle Foc is 20 degrees. So, the angle made by the force vector with the a-axis is determined by adding the two angles and is equal to 45 degrees.

As the force component along the a-axis is known, the magnitude of a force is estimated by the ratio of the a component of the force to the cosine of 45 degrees.

Now, the b component of the force is expressed as the product of the magnitude of the force and sine of 45 degrees. It is negative since it is along the negative b-axis.