A particle P moves freely under gravity in the plane of a fixed horizontal axis Ox, which lies on horizontal ground, and a fixed vertical axis Oy. P is projected from O with a velocity whose components along Ox and Oy are U and V, respectively. P returms to the ground at a point C. (a) Determine, in terms of U, Vand g, the distance OC. B P passes through two points A and B, each at a height h above the ground and a distance d apart, as shown in the diagram (b) Write down the horizontal and vertical components of the velocity of P at A. (c) Hence determine an expression for d in terms of U, V, g and h. (d) Given that the direction of motion of Pas it passes through A is inclined to the horizontal at an angle 0, where tan e=, determine an expression for V in tems of g, d and h.
A particle P moves freely under gravity in the plane of a fixed horizontal axis Ox, which lies on horizontal ground, and a fixed vertical axis Oy. P is projected from O with a velocity whose components along Ox and Oy are U and V, respectively. P returms to the ground at a point C. (a) Determine, in terms of U, Vand g, the distance OC. B P passes through two points A and B, each at a height h above the ground and a distance d apart, as shown in the diagram (b) Write down the horizontal and vertical components of the velocity of P at A. (c) Hence determine an expression for d in terms of U, V, g and h. (d) Given that the direction of motion of Pas it passes through A is inclined to the horizontal at an angle 0, where tan e=, determine an expression for V in tems of g, d and h.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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