PROBLEM 13-104v (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 vertical plane. A force S of magnitude 26.4 N acts on the particle in the direction opposite to its velocity. · Determine the force that the rod exerts on the particle and the force of the slot on the particle when 0 = 90 , è = 0.5 rad/s, Ö = 0.6 rad/s2. 0.6 r = r 0 = 90° Figure: 13_P104 Copyright @2013 Pearson Education, publishing as Prentice Hall
PROBLEM 13-104 (page 153, 13th edition) DIAGRAM RADIAL LINE TANGENT LINE NORMAL LINE 0
13-104v (page 153, 13th edition) COMPLETION OF PROBLEM (page 1) • Data m = 4 kg "1 r(! ) = a ! ! = 90° • Derivatives t = ! a !" 12 g= 9.81m/s2 a = 0.6 m ! in radians !! = 0.5rad/s !! = 0.6rad/s2 S = 26.4N H = ! a(! " 2 ! 2 !" 2 ,13) When ! = 90°: r = 0.3820m • Acceleration å = a ? + a, ú, a = #! ! r ! 2 ? = ! 0.1216m/s =! 0.1640m/s2 r a, =r !! + 2x !! = 0.1076m/s2 #= ! 0.06850m/s2 when ! = 90° when ! = 90°