Figure P1.14 shows a schematic diagram of a one-cylinder reciprocating onecylinder engine. If at the instant of

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Figure P1.14 shows a schematic diagram of a one-cylinder reciprocating onecylinder engine. If at the instant of time shown the piston has a velocity \(v\) and an acceleration \(a\), determine

(a) the angular velocity of the crank and

(b) the angular acceleration of the crank in terms of \(v, a\), the crank radius \(r\), the connecting rod length \(\ell\), and the crank angle \(\theta\).

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