Projectile Velocity for Perpendicular Impact on an Inclined Plane

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SUMMARY

The discussion focuses on determining the velocity of a projectile launched at height h with an initial velocity v, striking an inclined plane perpendicularly. The key conclusion is that for the projectile to impact the plane perpendicularly, the x-component of its velocity (Vx) must be zero. Participants confirmed that when analyzing the problem using inclined coordinates, gravity's components must be adjusted, with g acting as g cos(theta) in the y-direction and g sin(theta) in the x-direction.

PREREQUISITES
  • Understanding of projectile motion and kinematics
  • Familiarity with inclined planes and their angles
  • Knowledge of vector decomposition in physics
  • Ability to manipulate equations of motion, specifically y=Vo*t+1/2at^2
NEXT STEPS
  • Study the principles of projectile motion in inclined coordinates
  • Learn about vector decomposition and its applications in physics
  • Explore the effects of gravity on projectiles at different angles
  • Investigate the use of trigonometric functions in analyzing projectile trajectories
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators seeking to clarify concepts related to inclined planes and vector analysis.

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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