Math Problem Statement
Consider three forces P1, P2, and P3, where P1=802 NP1=802 N , P2=421 NP2=421 N , and P3=390 NP3=390 N . Determine the resultant of the three forces shown.
Three rectangles lie in the x-y plane, one in the first, second, and fourth quadrants. Each rectangle has a corner at the origin and has a force acting on the origin with a line of action toward the opposite corner. The magnitude of the forces in the first, second, and fourth quadrants are P 1, P 2, and P 3 respectively.
The resultant of the three forces is N ⦪ °.
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Decomposition
Trigonometry
Force Resultants
Formulas
P_x = P * cos(θ)
P_y = P * sin(θ)
R = √(R_x^2 + R_y^2)
θ = tan^(-1)(R_y / R_x)
Theorems
Pythagorean Theorem
Trigonometric Identities
Suitable Grade Level
Undergraduate Physics/Engineering
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