The design of a camshaft-drive system of a fourcylinder automobile engine is shown. As the engine is revved up, the belt speed \(v\) changes uniformly from \(3 \mathrm{~m} / \mathrm{s}\) to \(6 \mathrm{~m} / \mathrm{s}\) over a two-second interval. Calculate the magnitudes of the accelerations of points \(P_{1}\) and \(P_{2}\) halfway through this time interval.

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Camshaft sprocket Drive belt tensioner 60 mm P1 P2 Intermediate Crankshaft sprocket sprocket