In the slider-crank shown in Fig.3.10(a), the lengths of the various links are: [ O A=A C=200

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In the slider-crank shown in Fig.3.10(a), the lengths of the various links are:
\[ O A=A C=200 \mathrm{~mm}, A B=600 \mathrm{~mm}, \angle A O B=30^{\circ} \text {. } \]
The crank rotates at \(10 \mathrm{rad} / \mathrm{s}\). Determine

(a) the acceleration of the connecting rod \(A B\),

(b) acceleration of slider \(B\), and

(c) acceleration of a point \(C\) in \(A B\).

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