Calculating the Force of a Wall on a Wedge

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Homework Help Overview

The problem involves a wedge inclined at an angle theta, positioned next to a wall, with a block of mass m sliding down the wedge. The inquiry focuses on determining the magnitude of the force exerted by the wall on the wedge, considering the absence of friction between the block and the wedge, as well as between the wedge and the horizontal surface.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the forces acting on the system, including gravitational forces and normal forces. There is a debate about the definition of "all" forces in the context of the problem, with some suggesting that only gravity acts downward, while others reference the normal force between the block and the wedge.

Discussion Status

The discussion is ongoing, with various interpretations of the forces involved being explored. Some participants have provided calculations and rearrangements of equations, while others are questioning the assumptions about the wedge's immobility and its implications for the force exerted by the wall.

Contextual Notes

There is a mention of the problem's constraints, particularly the assumption that the wedge is not immobile, which may influence the analysis of forces. Additionally, the absence of friction is noted as a significant factor in the problem setup.

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Homework Statement


A wedge with an inclination of angle theta rests next to a wall. A block of mass m is sliding down the plane, as shown. There is no friction between the wedge and the block or between the wedge and the horizontal surface. (Intro 1 figure) what is the magnitude of the force of the wall exerts on the wedge?



Homework Equations



I know that the sum of all forces is mg sin theta. and i know that the normal force between the block and wedge is mgcos theta. Please does anyone know the answer

The Attempt at a Solution

 
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the sum of all forces is mg
 
f net would actually be mgsin theta. I am doing the problem right now on an online program and for that part of the problem it said that i got it right. so those are the knowns, mgsintheta for the net forces and mgcos theta for the normal force between the block and the wedge.
 
I think it depends on what you are calling 'all' the forces.

the only outside force acting on the system is gravity and gravity doesn't care about thewedge or anything else. it just acts downward
 
i just rearranged some equations and found that the answer was mgcos@sin@
 
most problems like this consider the wedge to be immobile. therefore one would normally consider the force to be mg sin theta. in this problem the wedge is not immobile.
 

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