Projectile motion in inclined planes?

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SUMMARY

The discussion focuses on calculating the velocity of a particle projected perpendicularly from one inclined plane to strike another inclined plane at right angles. The angles of inclination are denoted as α and β, and the particle experiences a vertical displacement of 'h' during its trajectory. Participants emphasize the necessity of a diagram to visualize the problem and suggest that a preliminary attempt at solving the equation is essential for further assistance.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of trigonometric functions related to angles α and β
  • Familiarity with kinematic equations
  • Ability to interpret and create motion diagrams
NEXT STEPS
  • Study the equations of motion for projectile motion on inclined planes
  • Learn how to derive the velocity of projection using trigonometric identities
  • Explore the effects of different angles of inclination on projectile trajectories
  • Practice solving similar problems involving multiple inclined planes
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in advanced projectile motion problems involving inclined planes.

somnambulist
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Two inclined planes intersect in a horizontal plane. Their inclination to the horizontal is α and β. If a particle is projected at right angles to the former from a point in it so as to strike the other at right angles, then find the velocity of projection. Assume that the particle undergoes a vertical displacement of 'h' during its motion.
 
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An attempt at the solution is required before any help can be given. A diagram might be nice as well.
 

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