Three ropes are pulling a box. Rope 1 has a tension of 40.0 N and makes an angle of 30° with respect to the positive x-axis. Rope 2 has a tension of 80.0 N and makes an angle of 105° with respect to the positive x-axis. With what tension and direction (with respect to the positive x -axis) should the third rope pull so that the object has an acceleration of zero? (Ignore any and all forces other than the ropes). Show your work! T3=? For a=0 Ef=ma=T,t Tz=T3=C Ti+ Tz= T3 T2-8000 7T=40.0N Tay 05 75 T22 2. EFx= T, cos 30+ T2 Cos los 131 COS - (34.6)+(-20.7) S Fx =13.9 N T, Sin 30+ T2 Sin 105° EFy= E 20 + 77.3 Fy = 97.3 N %3D 1 2 T3= V(13-9)"+ (9 7.3)? Tろこ 93.3 N. T3: -1 ( Efy 81:90 9= tan

2. The gear A on the drive shaft of an outboard motor has a radius of ½ inch while the meshed pinion gear on B has a radius of 1% inches. If the drive starts from rest and is accelerated at a constant a = 200 rad/s², what is the speed, tangential acceleration, and normal acceleration at point P on the propeller after 3 seconds. 2.20 in

Two friction discs A and B will come into contact, without slipping, when the angular velocity of disc A is 320 rpm counterclockwise. Disk A starts from rest at t = 0 and has a constant angular acceleration with magnitude a. Disk B starts from rest at time t = 4 s and has a constant angular acceleration in a clockwise direction, also with a magnitude a. Determine the magnitude of the required angular acceleration a, in rad/ s². B 150 mm 200 mm

11 A particle with mass 5 kg travels in a circular path with a radius of 1 m.  A couple moment is applied which results in a tangential acceleration of 20 m/s2.  What is the magnitude of the couple moment in Nm? 5 Nm 100 Nm 20 Nm 10  Nm