# Vector

Not what you're looking for?

A rope is wrapped around a pole so that a force of 75 lbs acts on one end and a force of 53 lbs acts on the other end. If the angle between the two forces is 114 degrees what is the resultant force? What angle does the resultant force make with the 53 lbs force?

##### Purchase this Solution

##### Solution Summary

Finds the magnitude and the direction of the resultant force.

##### Solution Preview

Let the direction of the 53 LBS force be the x axis

Angle between the two forces = 114 degrees

x component of the 75 LBS force= 75 Cos 114 = -30.51 LBS

y component of the 75 LBS force= 75 Sin 114 = 68.52 LBS

Total force in the x direction= 22.49 LBS =53-30.51

Total force in the y direction= 68.52 LBS

Resultant force = square root of {(x component)^2 + (y component)^2}= ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.