Ch5 VP4 **VP4.** A crate of weight \( F_g \) is pushed by a force \( \vec{P} \) on a horizontal floor as shown in the figure below. The coefficient of static friction is \( \mu_s \), and \( \vec{P} \) is directed at angle \( \theta \) below the horizontal.(a) Show that the minimum value of \( P \) that will move the crate is given by \[ P = \frac{\mu_s F_g \sec \theta}{1 - \mu_s \tan \theta}. \](b) Find the condition on \( \theta \) in terms of \( \mu_s \) for which motion of the crate is impossible for any value of \( P \).**Diagram Description:** The image shows a rectangle representing the crate on a flat horizontal surface. An arrow labeled \( \vec{P} \) is drawn at an angle \( \theta \) downward from the horizontal direction, indicating the direction of the applied force.

Answered: Image /qna-images/answer/ed058c3e-47db-4024-95be-92fae8ea3a4f.jpg

• VP4. A crate of weight Fg is pushed by a force P the figure below. The coefficient of static on a horizontal floor as shown in friction is us, and Pis directed at angle below the horizontal. (a) Show that the minimum value of P that will move the HgFg sec 0 S. P: crate is given by 1-u, tan 0 - (b) Find the condition on in terms of Ps for which motion of the crate is impossible for any value of P.

• VP4. A crate of weight Fg is pushed by a force P the figure below. The coefficient of static on a horizontal floor as shown in friction is us, and Pis directed at angle below the horizontal. (a) Show that the minimum value of P that will move the HgFg sec 0 S. P: crate is given by 1-u, tan 0 - (b) Find the condition on in terms of Ps for which motion of the crate is impossible for any value of P.

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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Ch5 VP4

**VP4.** A crate of weight \( F_g \) is pushed by a force \( \vec{P} \) on a horizontal floor as shown in the figure below. The coefficient of static friction is \( \mu_s \), and \( \vec{P} \) is directed at angle \( \theta \) below the horizontal.

(a) Show that the minimum value of \( P \) that will move the crate is given by

\[ P = \frac{\mu_s F_g \sec \theta}{1 - \mu_s \tan \theta}. \]

(b) Find the condition on \( \theta \) in terms of \( \mu_s \) for which motion of the crate is impossible for any value of \( P \).

**Diagram Description:**

The image shows a rectangle representing the crate on a flat horizontal surface. An arrow labeled \( \vec{P} \) is drawn at an angle \( \theta \) downward from the horizontal direction, indicating the direction of the applied force.

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