Question is on the picture ## Analyzing Forces on an Inclined PlaneTo resolve the force of gravity into components aligned with the rotated x- and y-axes, consider the diagram:### Diagram Explanation:- **\( F_g \)**: The total force of gravity acting downwards.- **\( F_{g,\perp} \)**: The component of the force of gravity acting perpendicular to the ramp surface.- **\( F_{g,\parallel} \)**: The component of the force of gravity acting parallel to the ramp surface.The angle between the force of gravity and the perpendicular component is \( \theta \). Thus, the angle between the parallel component and the force of gravity is \( 90^\circ - \theta \).### Components:- **\( F_{g,\perp} \)** (or \( w_{\perp} \)): Acts perpendicular to the ramp surface.- **\( F_{g,\parallel} \)** (or \( w_{\parallel} \)): Acts parallel to the ramp surface.#### Select the Correct Expressions:- \( F_{g,\parallel} = F_g \sin \theta \)- \( F_{g,\perp} = F_g \cos \theta \)### Question:Identify the correct trigonometric expressions used for these components:- [ ] \( F_{g,\parallel} = F_g \cos \theta \)- [ ] \( F_{g,\perp} = F_g \cos \theta \)- [x] \( F_{g,\parallel} = F_g \sin \theta \)- [x] \( F_{g,\perp} = F_g \cos \theta \)Correct options are related to resolving gravitational forces on an inclined plane, useful in analyzing the motion and force interactions in physics.

Given: The free-body diagram is given below.

2. Next, let's use trigonometry to resolve this force into components aligned with the rotated x- and y-axes. Here's a drawing of how we can do this: 9. 4 90-0 We've got names for these components: • Fg,1 (or w or wy in a rotated C.S.): the component of the force of gravity acting perpendicular to the ramp surface. Fg. (or w or wz in a rotated C.S.): the component of the force of gravity acting parallel to the ramp surface. Which of these expressions could be used for these components as shown? Select all that apply: Fg. = F,cose %3D Fg.1 = F,cose 9. = Fgsino Fe = F.cose

2. Next, let's use trigonometry to resolve this force into components aligned with the rotated x- and y-axes. Here's a drawing of how we can do this: 9. 4 90-0 We've got names for these components: • Fg,1 (or w or wy in a rotated C.S.): the component of the force of gravity acting perpendicular to the ramp surface. Fg. (or w or wz in a rotated C.S.): the component of the force of gravity acting parallel to the ramp surface. Which of these expressions could be used for these components as shown? Select all that apply: Fg. = F,cose %3D Fg.1 = F,cose 9. = Fgsino Fe = F.cose

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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