The crank of an engine \(300 \mathrm{~mm}\) long rotates at a uniform speed of \(300 \mathrm{rpm}\). The ratio of connecting rod length to crank radius is 4 . Determine

(a) acceleration of the piston.

(b) angular acceleration of the rod, and

(c) acceleration of a point \(X\) on the connecting rod at \(400 \mathrm{~mm}\) from crank pin. The crank position is \(60^{\circ}\) from inner dead centre.