How to solve the second and third pictures?

```
24
$P=4 \mathrm{kN}$ $M=3 \mathrm{kN} \mathrm{m}$ $q=1 \mathrm{kN} / \mathrm{m}$ Reaction: $Y_{A}$
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A
C
角.
```

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Answer from Sia

Posted 5 months ago

Solution by Steps

step 1

Given the equation $4 \cos(60°) + Y_A = 2q + P$, we need to solve for $Y_A$

step 2

Substitute the given values $P = 4 \, \text{kN}$ and $q = 1 \, \text{kN/m}$ into the equation

step 3

The equation becomes $4 \cos(60°) + Y_A = 2(1) + 4$

step 4

Simplify the equation by calculating $\cos(60°)$, which is $0.5$, and then multiply by $4$ to get $2$

step 5

The simplified equation is $2 + Y_A = 2 + 4$

step 6

Combine like terms to get $Y_A = 4$

Answer

$Y_A = 4 \, \text{kN}$

Key Concept

Solving linear equations with one variable

Explanation

To find the value of $Y_A$, we substituted known values into the equation and solved for the unknown variable using basic algebraic operations.

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