Mass not sliding on a smooth, accelerating base

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Homework Help Overview

The problem involves a mass m resting on a smooth inclined surface of mass M, with the objective of determining the necessary acceleration of M to keep m stationary relative to the incline. The context is rooted in classical mechanics, specifically Newton's laws of motion.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the acceleration of the base and the forces acting on the mass m, with one suggesting to first analyze the scenario where the ramp is stationary. Others express agreement with the initial approach but question the correctness of the proposed solution.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some have offered insights into the relationship between the forces involved, while others are questioning the validity of the initial solution and considering alternative perspectives.

Contextual Notes

There is mention of the problem being part of a short quiz, which may influence the complexity of the expected answers. Additionally, some participants note that the inclusion of mass M complicates the problem, indicating a potential area of confusion or further exploration.

Karol
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Homework Statement


Mass m lays on the smooth triangle of mass M. what is the acceleration of M so that m will stay in place.

Homework Equations


Newton's second law: ##F=ma##

The Attempt at a Solution


$$\tan\alpha=\frac{ma}{mg}\;\rightarrow\; a=g\tan\alpha$$
 

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My suggestion is to determine the acceleration of the block if the ramp is not moving first, down the slope.
 
Looks right to me, is your answer supposed to be wrong?
 
Nathanael said:
Looks right to me, is your answer supposed to be wrong?
It's one of the possible answers but the other answers are complicated and include M. it's logical that my answer is correct since it's a short quiz, not a long exam
 

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