Question

is the angular 6. Gear A rotates with an angular velocity of 04 = 20rad/s, where of displacement of gear A, measured in radians. Gears A, B, C, and D have radii of 20 mm, 50 mm, 25 mm, and 100 mm, respectively. When 0 = 2 rad , Find: i) ii) iii) iv) v) vi) vii) viii) The angular velocity of gear A The angular acceleration of gear A The angular velocity of gear B The angular acceleration of gear B The angular velocity of gear C The angular acceleration of gear C The angular velocity of gear D The angular acceleration of gear D

Answer 1

iii) WA = 2002 At on=2 gear A and B are direct contact. so, tangential Velocity at contact point is WA= 2(2)2 WA = 8 rad/sec same jij Las do LA LA= dw do do de d (2011) XWA do LA = 2 (204) X WA Le 4x2x8 LA = 64 rad see? VIA VTO YA WA BWB 20x8= 50 XWB W=3.2 rad/sec also, ATA= aFB raa = B&TB

e 212 25.6 VII 20X64 = 50X&B Since C&D are direct contact dB = 25.6 rod/sce? → rewe=rowo 25*3.2 = 100XWD WD = 0.8 rad/sec Since B & C are on same shaft (VIII also V W = 48 = 3.2 rad/sec re&c=r0iLD 25*25.6=100.X do 6.4 VI rad/sec2 Loo