Explanation Given: The provided data is: y = 8 f t , x = 16 f t Whereas, y is thrown position of the bale, x is distance behind the ejector. The position vector is: r → ( t ) = ( v cos θ ) t . i ^ + [ ( v sin θ ) t − 16 t 2 ] j ^ Now, the minimum initial speed v as a function of the angle θ, Because the bale must be thrown to the position (16, 8), so that, 16 = ( v cos θ ) t and 8 = ( v sin θ ) t − 16 t 2 ∴ t = 16 v cos θ from the first equation substituting into the second equation and saving for v, we Obtain, 8 = ( v sin θ ) 16 v cos θ − 16 ( 16 v cos θ ) 2 or 1 = 2 sin θ cos θ − 512 1 v 2 cos 2 θ o r , (b) To determine The initial speed of bale when an ejector fixed an angle of 45 ° for y = 8 f t , x = 16 f t

11th Edition

ISBN: 9781337275378

Author: Ron Larson, Bruce H. Edwards

Publisher: Cengage Learning

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Chapter 12.3, Problem 35E

To determine

The minimum initial speed of the bale and the corresponding angle y=8ft, x=16ft.

(b)

To determine

The initial speed of bale when an ejector fixed an angle of 45° for y=8ft, x=16ft

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Chapter 12.3, Problem 34E

Chapter 12.3, Problem 36E

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Chapter 12 Solutions

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The minimum initial speed of the bale and the corresponding angle y = 8 f t , x = 16 f t .