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Kinematics

Problem 1.55

Two solid bodies rotate about stationary mutually perpendicular intersecting axes with constant angular velocities ω1\omega_{1} =3.0rad/s=3.0 \mathrm{rad} / \mathrm{s} and ω2=4.0rad/s.\omega_{2}=4.0 \mathrm{rad} / \mathrm{s} . Find the angular velocity and angular acceleration of one body relative to the other.

Reveal Answer
ω=ω12+ω22=5rad/s,β=ω1ω2=12rad/s2\omega=\sqrt{\omega_{1}^{2}+\omega_{2}^{2}}=5 \mathrm{rad} / \mathrm{s}, \beta=\omega_{1} \omega_{2}=12 \mathrm{rad} / \mathrm{s}^{2}
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