Problems with frictionless wedges

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Homework Help Overview

The problem involves a 2.3kg block on a frictionless wedge inclined at 30°, with the wedge accelerating to the left. The task is to find the acceleration of the block-wedge system while considering gravitational effects.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the forces acting on the block, including gravity and the normal force, and question the accuracy of the original poster's free body diagram (FBD). There is a focus on applying Newton's second law to analyze the situation.

Discussion Status

Some participants have offered guidance on refining the FBD and emphasized the importance of understanding the acceleration direction of the block relative to the wedge. Multiple interpretations of the forces and their implications are being explored.

Contextual Notes

The original poster mentions using the UT Quest system for homework, indicating potential constraints or specific requirements for the solution approach.

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Homework Statement


A 2.3kg block rests on a frictionless wedge that has an inclination of 30° and an acceleration to the left such that the block remains stationary relative to the wedge; i.e., the block does not slide up or down the wedge. The acceleration of gravity is 9.81 m/s^2.

Find the magnitude of the acceleration of the block-wedge system.

Homework Equations


ƩFx=ma=mgsinθ (?)

The Attempt at a Solution


[PLAIN]http://img36.imageshack.us/img36/456/physicsdiagram.png
(near-exact recreation of the diagram given, with force vectors added.)
ƩFx = 2.3kg * 9.81m/s^2 * sin30°
... = 11.2815 kg*m/s^2

If anyone is familiar with the UT Quest system, that's what we're using for this homework, and it's said that this answer is wrong. Enlightenment is encouraged, assistance is welcomed, etc. Your help would be greatly appreciated. Thank you! :)
 
Last edited by a moderator:
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Hello,

Try to draw your FBD a little bit precise. You've got three forces acting on your block: ma, G=mg and N.
 
There are only two forces acting on the block: The normal force and gravity. Those are shown correctly in your diagram. But if the block is not sliding down the wedge, what must be the direction of its acceleration?

Apply Newton's 2nd law to horizontal and vertical forces to solve for the acceleration.
 
The "block remains stationary relative to the wedge". The acceleration of the wedge is to the left. (It's on a horizontal surface.)
 
Last edited:

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