A part of a mechanism which operates a horizontally sliding block \(E\) is shown in Fig.3.23(a). In the given configuration, the lever \(O B\) swings about \(O\) in the clockwise direction with an angular velocity of 11.2 \(\mathrm{rad} / \mathrm{s}\) and an angular acceleration of \(56.5 \mathrm{rad} / \mathrm{s}^{2}\). The reciprocating mass at \(E\) is \(70 \mathrm{~kg}\). Determine the value of force \(P\) necessary to ensure this motion, neglecting the inertia of the links \(O B\) and \(C E\).

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15% A = 11.2 rad/s = 56.5 rad/s 250 45 B Scale: 1 cm = 50 mm (a) Configuration diagram ea a feat fea Vea Ve E VD b TIT 70 kg Scale: 1 cm = 50 mm (b) Velocity diagram fe Scale: 1 cm 2000 mm/s (c) Acceleration diagram