The two cranks of an inside cylinder locomotive are at right angles and the distance between the cylinder centre lines is 0·625 m. The stroke of the pistons is 0·6 m and the revolving parts that have to be balanced are equivalent to 300 kg at the centre of each crank pin. The cylinders are symmetrically placed between the driving wheels, which are 1·5 m apart. Find the magnitude and angular positions of the balance masses required in the planes of the driving wheels at a radius of 0·8 m.

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.