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GATE ME 2015 Set 1 — Question 51

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MCQ+2 / -0.67MediumDynamics of Rigid BodiesDynamicsEngineering MechanicsSimple, Compound & Epicyclic TrainsCams, Gears & Gear TrainsTheory of Machines & Vibrations

Engineering Mechanics → Cams, Gears & Gear Trains → Dynamics of Rigid Bodies

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Question

A pinion with radius r1r_1, and inertia I1I_1 is driving a gear with radius r2r_2 and inertia I2I_2. Torque τ1\tau_1 is applied on pinion. The following are free body diagrams of pinion and gear showing important forces (F1F_1 and F2F_2) of interaction. Which of the following relations hold true?
Free body diagrams of a pinion and a gear. The pinion has radius $r_1$, inertia $I_1$, applied torque $\tau_1$, and interaction force $F_1$. The gear has radius $r_2$, inertia $I_2$, and interaction force $F_2$. Angular displacements are $\theta_1$ and $\theta_2$.
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