Question

6. Gear A rotates with an angular velocity of QA = 20% rad/s, where 04 is the angular 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 04 = 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 (30 points)

Answer 1

ANSWER :
Here, WA = 204² NA = 20 mm IB = 50mm a 25 mm 90 = 100mm, OA = 2rad. Angular velocity of gear A. , WA = 20 22 =2 (2)2 WA = grads. in for motion of gear A, LA LOA = WA WA =20 A d (208) = 20$2dBA :XADOA :. 4A = 4042 = 4(2) ² 404 doA :-(A - 16radis? B (iv) Gear't is an mesh with gear TB & B = CAMA do = 4A (RA) = 16 20 50 91B

&B = 6.4rad/s2 Liin: WohB - WASA ..W... WAG SA IB ..08 2-8% () - (8= 3.291ad is (V): Gear B and a care at attached together -.W = WB W = 3.2radls. (vili and Xc=_&B. &c=64 rad/g2 (vii): Gear D is in mesh with gear c. 2. Wpro wore .: we We Can ) -3.2 (25) WD = 0.8 hadis Nili) and XD20 = xor "Xo = de tr) = 6.4x (250) (XD = 16rad/62