1.39 ** A ball is thrown with initial speed v, up an inclined plane. The plane is inclined at an angle o above the horizontal, and the ball's initial velocity is at an angle 0 above the plane. Choose axes with x measured up the slope, y normal to the slope, and z across it. Write down Newton's second law using these axes and find the ball's position as a function of time. Show that the ball lands a distance R= 2v, sin 0 cos(0 + 4)/(g cos² p) from its launch point. Show that for given v, and p, the maximum possible range up the inclined plane is Rmax = v/[g(1+ sin ø)].

1.39 ** A ball is thrown with initial speed v, up an inclined plane. The plane is inclined at an angle o above the horizontal, and the ball's initial velocity is at an angle 0 above the plane. Choose axes with x measured up the slope, y normal to the slope, and z across it. Write down Newton's second law using these axes and find the ball's position as a function of time. Show that the ball lands a distance R= 2v, sin 0 cos(0 + 4)/(g cos² p) from its launch point. Show that for given v, and p, the maximum possible range up the inclined plane is Rmax = v/[g(1+ sin ø)].

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...

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