In the mechanism shown in Fig.2.41(a), the piston \(D\) moves in the vertical direction upwards with a velocity of \(5 \mathrm{~m} / \mathrm{s}\).
\(O_{1} A=7.5 \mathrm{~cm}, O_{1} O_{2}=30 \mathrm{~cm}, A B=25 \mathrm{~cm}, O_{2} C=O_{2} B=10 \mathrm{~cm}, C D=25 \mathrm{~cm}\), and \(B C=12.5 \mathrm{~cm}\). Find the speed in rpm and direction of rotation of crank \(O_{1} A\).

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01 D VD = 5 m/s Vcd B (a) Configuration diagram Vdoz Vco Vbc 01.0 V301 0 Vboz (b) Velocity diagram