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l https lsession masteringengineeringcom/myct/itemview?assignmentProblemID 5657245 EM 2433-03-Dynamics HM Problem 12.179 Problem 12.179 Part A A horse on the merry-go-round moves according to the equations r 9 ft, 0- (0,6t) rad, and z (1.5sin d) ft, where t is in seconds. (Figure 1) Determine the cylindrical components orthe velocity of the horse when t.4s Express your answers using three significant figures separated by a comma. tr, tw, 0, 5.4, 0.9 Submit M.Answers Ghre up Figuro 1 of 1 Incorrect: Try Again: 2 attempts remaining Part B Determine the cylindrical components of the acceleration of the horse when 4 s Express your answers using three significant figures separated by a comma. ft/sz

Explanation / Answer

a] Vr = dr/dt = 0.00

Vtheta = wr = 9*0.6 = 5.40 ft/s

vz = dz/dt = 1.5* cos theta * dtheta/dt

= 1.5* [cos 2.4 ] * 0.6

= -0.664 ft/s

b] ar = 0.00 ft/s

a theta = 0.00 ft/s

az = dv/dt = - 1.5 w^2 * sin theta

= -1.5*0.6^2* sin 2.4

= -0.365 ft/s^2

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