A uniform ladder is 15 m long and weighs 21ON. In the figure, the ladder leans against a vertical, frictionless wall at heighth = 6.5 m above the ground. A horizontal force F is applied to the ladder at distance d = 1.6 m from its base (measured along the ladder). If force magnitude F = 58 N, what are (a)x-, (b)y-components of the force of the ground on the ladder? If F = 140 N, what are (c)x-, (d)y- components of the force of the ground on the ladder? (e) Suppose the coefficient of static friction between the ladder and the ground is 0.38; for what minimum value of the force magnitude Fwill the base of the ladder just barely start to move toward the wall?

A uniform ladder is 15 m long and weighs 21ON. In the figure, the ladder leans against a vertical, frictionless wall at heighth = 6.5 m above the ground. A horizontal force F is applied to the ladder at distance d = 1.6 m from its base (measured along the ladder). If force magnitude F = 58 N, what are (a)x-, (b)y-components of the force of the ground on the ladder? If F = 140 N, what are (c)x-, (d)y- components of the force of the ground on the ladder? (e) Suppose the coefficient of static friction between the ladder and the ground is 0.38; for what minimum value of the force magnitude Fwill the base of the ladder just barely start to move toward the wall?

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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Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

parts (a)-(b)

**Current Attempt in Progress**

A uniform ladder is 15 m long and weighs 210 N. In the figure, the ladder leans against a vertical, frictionless wall at a height \( h = 6.5 \, \text{m} \) above the ground. A horizontal force \( \vec{F} \) is applied to the ladder at a distance \( d = 1.6 \, \text{m} \) from its base (measured along the ladder).

If force magnitude \( F = 58 \, \text{N} \), what are:
(a) \( x \)-, (b) \( y \)-components of the force of the ground on the ladder?

If \( F = 140 \, \text{N} \), what are:
(c) \( x \)-, (d) \( y \)-components of the force of the ground on the ladder?

(e) Suppose the coefficient of static friction between the ladder and the ground is 0.38; for what minimum value of the force magnitude \( F \) will the base of the ladder just barely start to move toward the wall?

**Diagram Explanation:**

- The diagram shows a right triangle formed by the ladder and the surfaces.
- The ladder (beige) is leaning against a vertical purple wall.
- The bottom of the ladder is resting on a horizontal surface marked in pink.
- The height \( h = 6.5 \, \text{m} \) is the vertical distance from the ground to the top of the ladder.
- A horizontal force \( \vec{F} \) is acting on the ladder at a distance \( d = 1.6 \, \text{m} \) from its base.
- Coordinate axes \( x \) and \( y \) are shown, with \( x \) being horizontal and \( y \) vertical.

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