PROBLEM 13-104 (page 153, 13th edition) The slotted rod moves the 4 kg particle around the curved slot whose shape is given by r = 0.6/0 m where 0 is in radians. Motion is in the horizontal plane. · Determine the force that the rod exerts on the particle and the force of the slot on the particle when 0 = 90 , 0 = 0.5 rad/s and Ö = 0.6 rad/s2. Friction may be neglected. 0.0 r 0 = 90° Figure: 13_P104 Copyright c2013 Pearson Education, publishing as Prentice Hall
PROBLEM 13-104 (page 153, 13th edition) DIAGRAM RADIAL LINE TANGENT LINE 6 NORMAL LINE
13-104 (page 153, 13th edition) COMPLETION OF PROBLEM (page 1) ¥ Data m = 4 kg "1 r(!)=a! ! = 90° ¥ Derivatives ! =! ! ! a = 0.6m !! = 0.5rad/s !! = 0.6rad/s2 ! in radians # = ! a(! ! 2 ! 2 !"2 "!3) When ! = 90°: r = 0.3820m ¥ Acceleration å = a ? +a, ú, [ =! 0.1216m/s r a =#! ! r ! 2 =! 0.1640m/s2 a, =r !! + 21! = 0.1076m/s2 # =! 0.06850m/s2 when ! = 90° when ! = 90°