Statics and Dynamics Quiz
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Two gears, A and B, mesh without slipping. Gear A has moment of inertia IA=0.5 kg⋅m2I_A = 0.5 \text{ kg}\cdot\text{m}^2 and radius rA=0.2 mr_A = 0.2 \text{ m}. Gear B has moment of inertia IB=2.0 kg⋅m2I_B = 2.0 \text{ kg}\cdot\text{m}^2 and radius rB=0.4 mr_B = 0.4 \text{ m}. Both gears are initially at rest. An impulsive torque T^A Δt=10 N⋅m⋅s\hat{T}_A\,\Delta t = 10 \text{ N}\cdot\text{m}\cdot\text{s} is applied to gear A. The no-slip constraint at the mesh point means rA ωA=rB ωBr_A\,\omega_A = r_B\,\omega_B.
What is the angular velocity of gear B immediately after the impulsive torque?
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