(i) Derive two point coupler curvature equation
(ii) Design Four Bar Linkage to meet the following requirements
Input Crank
$\Phi = 30^{\circ}$
$\Phi^{\circ} = 1 \text{rps}$
$\Phi^{\circ\circ} = 0 \text{rps}^2$
Output Crank
$\Psi = 120^{\circ}$
$\Psi^{\circ} = 5 \text{rps}$
$\Psi^{\circ\circ} = 15 \text{rps}^2$
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