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
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ISBN:9781305501607
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Chapter1: Introduction To Statics
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Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...
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![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 + ¢)/(g cos² ø) from its launch point. Show that for given v, and ø, the maximum
possible range up the inclined plane is Rmax = v?/[g(1+ sin ø)].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d945e56-c5e1-480a-9c03-390d785d9d79%2F7ca7adcc-d35e-4357-84de-0699a8691c56%2Fh5d4a4_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 + ¢)/(g cos² ø) from its launch point. Show that for given v, and ø, the maximum
possible range up the inclined plane is Rmax = v?/[g(1+ sin ø)].
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