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 = 7 r 0 = 90° Figure: 13_P104 Copyright @2013 Pearson Education, publishing as Prenuce Hall
PROBLEM 13-104 (page 153, 13th edition) DIAGRAM RADIAL LINE TANGENT LINE 1 NORMAL LINE 0
13-104v (page 153, 13th edition) COMPLETION OF PROBLEM (page 1) ¥ Data m = 4 kg "1 r(! ) = a ! a = 0.6 m ! in radians ! = 90° ¥ Derivatives t = ! a ! "12 When ! = 90°: r = 0.3820m ¥ Acceleration å = a ? +a, ú, g = 9.81m/s2 !! = 0.5rad/s !! = 0.6rad/s2 ? = ! 0.1216m/s =! 0.1640m/s2 r a = #! ! r ! 2 a, =r !! + 2x !! = 0.1076m/s2 S = 26.4N #= ! 0.06850m/s2 when ! = 90° when ! = 90°