Question

Problem 3.3 In the engine system shown, the crank AB has a constant counterclockwise angular velocity of 200 rad/s. Assume that AB-75mm and BD-200 mm. For the crank position indicated determine (a) the angular velocity of the connecting rod BD, (b) the angular acceleration of the connecting rod BD and (c) the velocity and the acceleration of point D. Problem 3.4 A thin homogeneous wire with Determine the period of small oscillation if the wire (a) is suspended as shown, (b) is suspended from a pin located at the midpoint of one side. mass m is bent into the shape of an equilateral triangle of side L

Answer 1

Pitoblem 3.3 = 75 mm CYank Yadius, AB lergth of Gomnectrg nod BD, BD 200 mm Angula velotily f crank A8, wAB = 200 7ad/s O45 ADO BD AB 20D 2.66 75 Let n ()Argde vely of Ganneding vod CWAB. Co (200)ab45 Yad/s 1 55 Vn dino 2. 66t-in45 -Argula acceloralion of The Gunnedtg Yed 3/2 667-(200) 2.607Sip452 0167. 27 ad/s sin45 3/2 velziy Crank i-e point D VD din20 2n din 45 Sin90 n 9-90901 mm/s Acceloraton of (Yank ie poirnt aD Coso t r00C Cas45 Cos90 a.66t R1R1320. 3u4 mm/s2-