Projectile Velocity for Perpendicular Impact on an Inclined Plane

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Homework Help Overview

The problem involves a projectile launched from the bottom of an inclined plane, aiming to determine the conditions under which it strikes the plane perpendicularly. The discussion centers around the relationship between the projectile's velocity components and the geometry of the inclined plane.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the implications of setting the x-component of velocity to zero for perpendicular impact and explore the effects of gravity's direction on the velocity components. Questions arise regarding the relationship between the velocity components in different coordinate systems.

Discussion Status

Participants have offered insights into the conditions necessary for perpendicular impact and have engaged in clarifying the implications of their assumptions. There is an ongoing exploration of how to relate the velocity components in transformed coordinate systems.

Contextual Notes

Some participants mention the need to consider the effects of gravity acting at an angle relative to the coordinate axes, which may influence the analysis. The discussion reflects a mix of established concepts and speculative reasoning regarding the velocity relationships.

Carbon123
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Homework Statement


A projectile is launched at height h with velocity v with 0 degrees angle with respect to the ground from the bottom of an inclined plane with an angle of theta.Determine the particle's velocity so that it strikes the inclined plane perpendiculary.

Homework Equations


y=Vo*t+1/2at^2

The Attempt at a Solution


Could anyone help me to check m work and my concepts ?
First ,I did it by changing the x coordinates to the distance along the inclined plane,then the y coordinates are perpendicular to the inclined plane.
So,my question is ,when it strikes the plane perpendicularly,will it have 0 Vx ?[/B]
 
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If the x-axis is along the plane, then, yes, the x-component of velocity must be zero for the projectile to strike the plane perpendicularly.
In the proposed scheme, you realize that gravity will point at an angle to the y axis?
 
Yes, the x-component of the projectile's velocity will be zero when it crashes perpendicular into the plane.
What should the angle of its velocity then be in the "normal\usual" x-y coordintate system? :wink:
 
@SimonBridge Yes i solved the problem by setting Vx in the changed coordinates to 0,and also have g equal g cos theta in y direction,and g sin theta in x direction.@andrevdh So if it is in normal coordinates then it will have Vx /Vy =tan theta (probably ?).I haven't tried to use normal coordinates yet.
 

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