A heavy particle is projected from a point at the foot of a flying plane, inclined at an angle 45° to the horizontal, in the vertical plane containing the line of greatest slope through the point. If (> 45°) is the inclination with the horizontal of the initial direction of projection, for what value of tan(theta) will the particle strike the plane?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
Section: Chapter Questions
Problem 1.18P: Obtain the sine law of plane trigonometry by interpreting the product A × B and the alternate...
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Topic: Projectile
A heavy particle is projected from a point
at the foot of a flying plane, inclined at an
angle 45° to the horizontal, in the vertical
plane containing the line of greatest slope
through the point. If (> 45°) is the
inclination with the horizontal of the initial
direction of projection, for what value of
tan(theta) will the particle strike the plane?
Transcribed Image Text:Topic: Projectile A heavy particle is projected from a point at the foot of a flying plane, inclined at an angle 45° to the horizontal, in the vertical plane containing the line of greatest slope through the point. If (> 45°) is the inclination with the horizontal of the initial direction of projection, for what value of tan(theta) will the particle strike the plane?
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