(a) Determine the magnitude of the resultant force (b) Determine the direction theta of the resultant force, measured counterclockwise from the positive x axis. Resultant Force = Theta = F2= 600 N F = 800 N 45° 60° 13 12 F3 = 650 N
(a) Determine the magnitude of the resultant force (b) Determine the direction theta of the resultant force, measured counterclockwise from the positive x axis. Resultant Force = Theta = F2= 600 N F = 800 N 45° 60° 13 12 F3 = 650 N
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![### Problem Statement:
(a) Determine the magnitude of the resultant force.
(b) Determine the direction theta (θ) of the resultant force, measured counterclockwise from the positive x-axis.
**Resultant Force =** [_______]
**Theta (θ) =** [_______]
### Diagram Description:
- **Diagram Elements**:
- Three forces acting at a point on the x-y coordinate plane.
- **Forces**:
- \( F_1 = 800 \, \text{N} \), acting at an angle of \( 60^\circ \) above the positive x-axis.
- \( F_2 = 600 \, \text{N} \), acting at an angle of \( 45^\circ \) above the negative y-axis.
- \( F_3 = 650 \, \text{N} \), directed downward and rightward at an angle matching the triangle ratio \( \frac{5}{12} \).
### Analysis:
To solve this problem, resolve each force into its x and y components, sum the components of all forces to find the resultant force, then use trigonometry to determine the overall magnitude and direction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d93dc0d-9ddc-4d81-8cab-aeaa356e3624%2Ff7069966-064f-487b-912b-bc07e958b38e%2Fvfqoxsng_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
(a) Determine the magnitude of the resultant force.
(b) Determine the direction theta (θ) of the resultant force, measured counterclockwise from the positive x-axis.
**Resultant Force =** [_______]
**Theta (θ) =** [_______]
### Diagram Description:
- **Diagram Elements**:
- Three forces acting at a point on the x-y coordinate plane.
- **Forces**:
- \( F_1 = 800 \, \text{N} \), acting at an angle of \( 60^\circ \) above the positive x-axis.
- \( F_2 = 600 \, \text{N} \), acting at an angle of \( 45^\circ \) above the negative y-axis.
- \( F_3 = 650 \, \text{N} \), directed downward and rightward at an angle matching the triangle ratio \( \frac{5}{12} \).
### Analysis:
To solve this problem, resolve each force into its x and y components, sum the components of all forces to find the resultant force, then use trigonometry to determine the overall magnitude and direction.
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