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yuxuan's Question
Math
Posted 2 months ago
How to solve the second and third pictures?

24
P=4kNP=4 \mathrm{kN} M=3kNmM=3 \mathrm{kN} \mathrm{m} q=1kN/mq=1 \mathrm{kN} / \mathrm{m} Reaction: YAY_{A}
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Answer from Sia
Posted 2 months ago
Solution by Steps
step 1
Given the equation 4cos(60°)+YA=2q+P4 \cos(60°) + Y_A = 2q + P, we need to solve for YAY_A
step 2
Substitute the given values P=4kNP = 4 \, \text{kN} and q=1kN/mq = 1 \, \text{kN/m} into the equation
step 3
The equation becomes 4cos(60°)+YA=2(1)+44 \cos(60°) + Y_A = 2(1) + 4
step 4
Simplify the equation by calculating cos(60°)\cos(60°), which is 0.50.5, and then multiply by 44 to get 22
step 5
The simplified equation is 2+YA=2+42 + Y_A = 2 + 4
step 6
Combine like terms to get YA=4Y_A = 4
Answer
YA=4kNY_A = 4 \, \text{kN}
Key Concept
Solving linear equations with one variable
Explanation
To find the value of YAY_A, we substituted known values into the equation and solved for the unknown variable using basic algebraic operations.

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