Question

PROBLEM 3 The drum mechanism below has distances 02A = 100, 0,04 = 56, AB = 28, AP = 124, 04B = 0,Fin = 48, and 0,= 9° (when mechanism reaches Point A'). Vin = 3 m/s at the instant shown. distances are in mm. Determine the accelerations AA, AB, Ap (in m/s?) at the instant when the mechani reaches Point A' (as shown by the black colored linkage in the figure). Also, determine the mechani advantage for this mechanism. drum P P . Vint pedal 02 04

Answer 1

Hiswer - C A Given data Doum Mechanism below has distance O, Á = 100 Og On = 56 AB = .28 AP = 124 OB - 64 2 Fin = 48 Vin = 3m/8

NO Take Scale 1:2 Vin Qq fin 1. Vin = w. ORA Vin = 7 148 x 100 Vin 2 0.0625 X100 Vin = 6.25 [Vm = 6.25 m/sec)

Scale 112 Reflecting Diagram - - -- - - o - Diagram Acceleration Nowe to OA (6.25² 100 39.0625 Loo Z 0-390 FAQ - 390m/sec)

Aa=0 Taking scale 1: 100 ODOH ve V New ab 3 3 ap 9.4 Cabla => Cabla x 2.9 --> 9.4 * 3.3 Labja 9.4x 3.3 2.4 (abla = 31.02 2.9 10.69 I cabla = 10.69

. : Aba = A bc & Arab A vaba AB 28 28 AD VES a, B - (9.21? 0.6 X 2 84.64 0.6X124 131.76 LA 131.76

then. AA = 390 m/? Az = (ap) z 160m/s² As = 700 m/s² r Ap eba - - - -- - - P Aabc Answers Ao = 390m/se H& 160m/s2 Ap = 700 mlon 1