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Given Fa = 38N [E25oN] and Fb = 45 N [S25oE], calculate the force Fc needed so that the

summation of all the forces is zero.​

User Millerbr
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1 Answer

14 votes

Answer:

58.9 N [W24.8°N]

Step-by-step explanation:

The vectors are at right angles, so the magnitude of their sum is ...

√(38² +45²) ≈ 58.9 . . . . newtons

The angle Fc makes with Fa can be found using the arctangent:

angle between Fa and Fc = arctan(45/38) ≈ 49.8°

The direction required for the sum of the vectors to be zero is the opposite of [E(49.8° -25°)S], so is [W24.8°N]

The vector that makes the sum zero is 58.9 N [W24.8°N].

User Cyrilchampier
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