**Understanding Static Friction on an Inclined Plane**Consider the scenario depicted in the diagram below. A block of mass $ m $ is at rest on an inclined plane. The plane forms an angle $ \theta $ with the horizontal. To maintain the block at rest, the force of static friction $ f $ must counteract certain components of the gravitational force acting on the block.### Diagram ExplanationThe diagram illustrates:- An inclined plane forming an angle $ \theta $ with the horizontal.- A block of mass $ m $ placed on the plane. The diagram helps in visualizing the forces acting on the block:- The gravitational force $ mg $ acting downward.- The normal force exerted by the plane perpendicular to its surface.- The force of static friction $ f $, which acts parallel to the surface of the inclined plane, preventing the block from sliding down.### Question and Answer ChoicesIn this scenario, we are asked to determine the condition that the force of static friction $ f $ must satisfy. Here are the options:- **a. $ f > mg $** - **b. $ f > mg \cos \theta $** - **c. $ f > mg \sin \theta $** - **d. $ f = mg \cos \theta $** - **e. $ f = mg \sin \theta $** **Correct Answer:** The static friction must counteract the component of the gravitational force parallel to the inclined plane for the block to remain stationary. This component is given by $ mg \sin \theta $. Therefore, the force of static friction $ f $ must equal this component for the block to stay at rest. Hence, the correct answer is:**e. $ f = mg \sin \theta $**

We have a box of mass m which is resting on a inclined plane of angle θ. We need to find the force…

6. In a Figure below, the block of mass m is at rest on an inclined plane that makes an angle with the horizontal. The force of static friction f must be such that: 0 a. f>mg b.f > mg cose. c. f> mg sine. d. f = mg cose = mg sin0. De.f

6. In a Figure below, the block of mass m is at rest on an inclined plane that makes an angle with the horizontal. The force of static friction f must be such that: 0 a. f>mg b.f > mg cose. c. f> mg sine. d. f = mg cose = mg sin0. De.f

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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