293_Dynamics 11ed Manual

# 293_Dynamics 11ed Manual - r i.e just before the cord...

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Engineering Mechanics - Dynamics Chapter 14 N C Mg M v C 2 r C = N C M v C 2 r C Mg = N C 16.825 kN = Since N C > 0 then the coaster successfully passes through loop C . Problem 14-81 The bob of mass M of a pendulum is fired from rest at position A by a spring which has a stiffness k and is compressed a distance δ . Determine the speed of the bob and the tension in the cord when the bob is at positions B and C . Point B is located on the path where the radius of curvature is still
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Unformatted text preview: r , i.e., just before the cord becomes horizontal. Units Used: kN 10 3 N = Given: M 0.75 kg = k 6 kN m = 125 mm = r 0.6 m = Solution: At B : 1 2 k 2 + 1 2 M v B 2 M gr + = v B k M ⎛ ⎝ ⎞ ⎠ 2 2 gr − = v B 10.6 m s = T B M v B 2 r ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ = T B 142 N = At C : 1 2 k 2 + 1 2 M v C 2 M g 3 r + = v C k M ⎛ ⎝ ⎞ ⎠ 2 6 gr − = v C 9.47 m s = T C M g + M v C 2 2 r ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ = 291...
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