# Dynamics Physics - Acceleration Analysis / Gear Ratios /

by f2434427@rmqkr
Tags: acceleration, analysis, dynamics, gears, physics
 P: 3 First time posting. 1. The problem statement, all variables and given/known data Gears A and B, of Masses 4kg and 10kg, respectively, are rotating about their mass centers. The radius of gyration about the axis of rotation is 100mm for A and 300mm for B. A constant couple of C=0.75Nm acts on gear A. Neglecting friction, compute: - Angular Acceleration of each gear - Tangential contact force between the gears at C May want to look at attachment for image. 2. Relevant equations 3. The attempt at a solution Started with the smaller gear. Using T=I$\alpha$ , where I=mr^2 Rearrange the equation to get $\alpha$ = 0.75 / (4*0.1^2) = 18.75 rad/s^2 Not to sure how to draw a relationship with the 2nd larger gear. Maybe using w1/w2 = r2/r1 then $\alpha$ = w^2 * r Thanks, Attached Thumbnails
 HW Helper Sci Advisor Thanks P: 9,095 Welcome to PF; The applied torque has to accelerate both gears doesn't it? If this were a linear case, you'd use a free body diagram to couple the masses wouldn't you?
 P: 3 Ah yes, that would make sense. Forgot to account for the 2nd gears inertia hmm. Dont quite understand what you mean by coupling the masses though
HW Helper