Question

If one of the rectangular components of a force p is 3p/5 the other component is

Answer 1

4p/5 is the answer.

hope it helps you.

Answer 2

Given:

If one of the rectangular components of a force p is 3p/5.

To Find:

The other component.

Solution:

To find the other component we will follow the following steps:

As we know,

For rectangular components force is calculated by the formula:

$Force = \sqrt{ { {f1}^{2} + {f2}^{2} + f1f2cos90 } }$

Angel is taken as 90° because both the forces are perpendicular.

Now,

Put the given values in the above equation we get,

$p = \sqrt{ { { (\frac{3p}{5}) }^{2} + {f2}^{2} + 0} }$

${p}^{2} - {( \frac{3p}{5} )}^{2} = {(f2)}^{2}$

$\frac{ {25p}^{2} - {9p}^{2} }{25} = { \frac{16p}{25} }^{2} = f2$

So,

$\frac{4p}{5} = f2$

Henceforth, the other component is 4p\5.