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377_Dynamics 11ed Manual

# 377_Dynamics 11ed Manual - H sin T − W g − v 2 2 r ⎛...

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Engineering Mechanics - Dynamics Chapter 15 Problem 15-106 The block of weight W is originally at rest on the smooth surface. It is acted upon by a radial force F R and a horizontal force F H , always directed at θ from the tangent to the path as shown. Determine the time required to break the cord, which requires a tension T . What is the speed of the block when this occurs? Neglect the size of the block for the calculation. Given: W 10 lb = 30 deg = F R 2lb = T 30 lb = F H 7lb = r 4f t = v 1 0 ft s = g 32.2 ft s 2 = Solution: Guesses t 1s = v 2 1 ft s = Given W g v 1 rF H cos () rt + W g v 2 r = F R F
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Unformatted text preview: H sin ( ) + T − W g − v 2 2 r ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ = t v 2 ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ Find t v 2 , ( ) = v 2 17.76 ft s = t 0.91 s = Problem 15-107 The roller-coaster car of weight W starts from rest on the track having the shape of a cylindrical helix. If the helix descends a distance h for every one revolution, determine the time required for the car to attain a speed v . Neglect friction and the size of the car. Given: W 800 lb = h 8 ft = v 60 ft s = 375...
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