Question

find the components of force p along 2 directions making angles 45 degree &60 degree with p on opposite sides​

Answer 1

Answer:

Done

Step-by-step explanation:

Use vector diagram

or horizontal and vertical component.

Answer 2

Given,

A force p.

One direction is toward 45° from p and another at 60° on opposite sides.

To find,

Component of p in the two directions.

Solution,

The component of a vector (e. g. force) in a direction can be found as follows.

The component (say F₁) of a force F, in a direction making an angle θ with the force F, will be,

$F_1=F\cos \theta$

Here, the given force is p, and the two directions are such that they are making 45° and 60° with p. The two directions are given to be on opposite sides of p.

Let the component of p along 45° direction be $p_{45}$, then,

$p_{45}=p \cos45$

⇒ $p_{45}=\frac{p}{\sqrt{2} }$

As the component of p along the 60° direction is on the opposite side, p will be taken as -p.

$p_{60}=-p \cos60$

⇒ $p_{60}=-\frac{p}{2}$

Therefore, the components of force p along 45° direction will be $\frac{p}{\sqrt{2} }$, and along 60° direction will be $-\frac{p}{2} .$