Figure 3 B A uniform rod AB of weight W has its end A freely hinged to a point on a fixed vertical wall. The rod is held in equilibrium, at angle to the horizontal, by a force of magnitude P. The force acts perpendicular to the rod at B and in the same vertical plane as the rod, as shown in Figure 3. The rod is in a vertical plane perpendicular to the wall. The magnitude of the vertical component of the force exerted on the rod by the wall at A is Y. It can be shown that Y = W 2 (2 - cos² 0) Given that = 45°, find the magnitude of the force exerted on the rod by the wall at A, giving your answer in terms of W and in exact form.

Figure 3 B A uniform rod AB of weight W has its end A freely hinged to a point on a fixed vertical wall. The rod is held in equilibrium, at angle to the horizontal, by a force of magnitude P. The force acts perpendicular to the rod at B and in the same vertical plane as the rod, as shown in Figure 3. The rod is in a vertical plane perpendicular to the wall. The magnitude of the vertical component of the force exerted on the rod by the wall at A is Y. It can be shown that Y = W 2 (2 - cos² 0) Given that = 45°, find the magnitude of the force exerted on the rod by the wall at A, giving your answer in terms of W and in exact form.

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

Figure 3
B
A uniform rod AB of weight W has its end A freely hinged to a point on a
fixed vertical wall. The rod is held in equilibrium, at angle to the horizontal,
by a force of magnitude P. The force acts perpendicular to the rod at B and
in the same vertical plane as the rod, as shown in Figure 3. The rod is in a
vertical plane perpendicular to the wall. The magnitude of the vertical
component of the force exerted on the rod by the wall at A is Y.
It can be shown that Y
=
W
2
(2 - cos² 0)
Given that = 45°, find the magnitude of the force exerted on the rod by
the wall at A, giving your answer in terms of W and in exact form.

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