Question

determine the angular velocity of the gear at the instant shown in v= 1 ft/s vc = 6

Figure 1 of 1 G 1.50 ft th

Answer 1

The kinematic diagian of gear is v=6ffis Applying general plane motion equation Je = u + w xr .: Representing them is vector foon Je=6i, V=-1;, &. (1.5 +0.75); waukt Negative because is positive, and clockwise notation. counter clock wise I have assume

61 = -)i + (-wk x 2.251) T Cross-product of vectors. ] o -w lo 2.25 o Lilo - (2.25x-w)] - ;{o-o]+ k[oro 2.25wl .. Equation becomes 6 = -1; +2.25 wil 6: = (2.25 wil); - Equation i components. 6 -2.25 w -I ws 7 direction W= 3.1ll (sadas) Positive means counter clockwise Angular velocity of gear is W = 3.111 Aadls)
Using vector method to get the result.