The sewing machine needle bar mechanism is shown in Fig.2.64(a). Crank 2 rotates at (450 mathrm{rpm}). Determine

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The sewing machine needle bar mechanism is shown in Fig.2.64(a). Crank 2 rotates at \(450 \mathrm{rpm}\).
Determine the velocity of the needle at \(D\).
\(O_{1} A=15 \mathrm{~mm}, O_{2} B=25 \mathrm{~mm}, A B=65 \mathrm{~mm}, B C=20 \mathrm{~mm}, C D=60 \mathrm{~mm}\) and \(\angle O_{2} B C=90^{\circ}\).

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