. Time for a physics related question: (Question 52, Section 11.2, page 784) A particle is said to be in static equilibrium if the sum of all the forces acting on the object are 0. In this problem, forces are shown as vectors acting on an object at the origin. Find the force (vector), F which should to be added to achieve static equilibrium. Describe F by giving its magnitude the angle it makes with the positive x axis.

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Chapter1: Units, Trigonometry. And Vectors
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**Physics Problem: Static Equilibrium**

A particle is said to be in static equilibrium if the sum of all the forces acting on the object is zero. In this problem, forces are represented as vectors acting on an object at the origin. Determine the force (vector) \( F \) which should be added to achieve static equilibrium. Describe \( F \) by stating its magnitude and the angle it makes with the positive x-axis.

**Diagram Explanation:**

The diagram shows three vectors acting from the origin:

1. A vector with a magnitude of 120 N at an angle of 45° from the positive x-axis.
2. A vector with a magnitude of 150 N at an angle of 75° from the positive x-axis.
3. A vector with a magnitude of 100 N directly along the positive x-axis.

To solve, calculate the resultant of these vectors and determine the vector \( F \) that balances them, ensuring the net force is zero.
Transcribed Image Text:**Physics Problem: Static Equilibrium** A particle is said to be in static equilibrium if the sum of all the forces acting on the object is zero. In this problem, forces are represented as vectors acting on an object at the origin. Determine the force (vector) \( F \) which should be added to achieve static equilibrium. Describe \( F \) by stating its magnitude and the angle it makes with the positive x-axis. **Diagram Explanation:** The diagram shows three vectors acting from the origin: 1. A vector with a magnitude of 120 N at an angle of 45° from the positive x-axis. 2. A vector with a magnitude of 150 N at an angle of 75° from the positive x-axis. 3. A vector with a magnitude of 100 N directly along the positive x-axis. To solve, calculate the resultant of these vectors and determine the vector \( F \) that balances them, ensuring the net force is zero.
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