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.% r = 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 1 NORMAL LINE 0
13-104 (page 153, 13th edition) COMPLETION OF PROBLEM (page 1) • Data m = 4kg "1 r(!)= a! ! = 90° • Derivatives t= ! a ! ! 2 a = 0.6m !! = 0.5rad/s ! in radians !! = 0.6rad/s2 H = ! a( ! ! 2 ! 2 !" 2 " !3, ') When ! = 90°: r = 0.3820m • Acceleration å = a ? + a, ú, t = ! 0.1216m/s a=#! ! r!2 = ! 0.1640m/s2 a, =r !! + 2x! = 0.1076m/s2 #= ! 0.06850m/s2 when ! = 90° when ! = 90°