16_Dynamics 11ed Manual

16_Dynamics 11ed Manual - = h 3 g − 2 ⎛ ⎝ ⎞ ⎠ t 2...

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Engineering Mechanics - Dynamics Chapter 12 Problem 12-26 Ball A is released from rest at height h 1 at the same time that a second ball B is thrown upward from a distance h 2 above the ground. If the balls pass one another at a height h 3 determine the speed at which ball B was thrown upward. Given: h 1 40 ft = h 2 5f t = h 3 20 ft = g 32.2 ft s 2 = Solution: For ball A : For ball B : a A g = a B g = v A g t = v B g tv B0 + = s A g 2 t 2 h 1 + = s B g 2 t 2 v B0 t + h 2 + = Guesses t 1s = v B0 2 ft s = Given h 3 g 2 t 2 h 1 +
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Unformatted text preview: = h 3 g − 2 ⎛ ⎝ ⎞ ⎠ t 2 v B0 t + h 2 + = t v B0 ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ Find t v B0 , ( ) = t 1.115 s = v B0 31.403 ft s = Problem 12–27 A car starts from rest and moves along a straight line with an acceleration a = k s − 1/3 . Determine the car’s velocity and position at t = t 1 . Given: k 3 m 4 s 6 ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ 1 3 = t 1 6 s = 14...
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