Question

for the range of osoa 180 find the locations of equilibrium of the system and mention in whether the equilibrium is stable, neutral. each case Unstable 1.58, figol: Two uniform rods of mass m and length, e attached to gears are 34 20

Answer 1

Wednesda Sun Du A 111.50 W ya caso coseso B Potential energy equation V=W/Z cost 50 tw WI (-1,5560 156) + Wt. (- sene do - We Clissin 150+ sino O 2 2 wt (2.25 (as 1.50+ coso) 2 5 g=0, for quilibrium - On 1.5 sin 1:50+ sino =0 do By inspection and a second angle less than 180° can be found neumerically o= 2.4042 rad = 137,80 How, -we (2.25 25 Cos 1.50 + Cosol

At o=0 - We (2.25 caso o troso) do 2 = - Wl (3.25) (<o) 10=0 Unstable - Wil 12.25 cos WL2.25 Cos (165x133.8). At 0 = 137.8; + Cos 137.8° we (2.75) (70) -To= 137, 8 stable