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Coplanar forces are not easily simplified in the simplification of the force and couple system in the calculations of forces in the pivots and collar bearings.

Correct Answer: False
The coplanar forces can be easily simplified in the simplification of the force and couple system. This is not only for the coplanar system of the forces but for any of the dimension vector. Which means the answer is false.

Coplanar forces are not easily simplified in the simplification of the force and couple system in the calculations of forces in the journal bearings.

Coplanar forces are not easily simplified in the simplification of the force and couple system.

The couple is simplified easily with the help of right hand rule. But the forces simplification is not possible as there is no such system of rules so that the forces can be simplified.

The couple is simplified easily with the help of left hand rule. But the forces simplification is not possible as there is no such system of rules so that the forces can be simplified.

The couple is simplified easily by the help of right hand rule in free body diagrams. But the forces simplification is not possible as there is no such system of rules so that the forces can be simplified.

The couple in the beam is simplified easily by the help of right hand rule. But the forces simplification is not possible as there is no such system of rules so that the forces can be simplified.

The couple in the beam is simplified easily by the help of right hand rule in shear stress diagrams. But the forces simplification is not possible as there is no such system of rules so that the forces can be simplified.

A machine vice whose length of the handle is 150mm and the coefficient of friction for thread and collar are 0.15 and 0.17 respectively has a force applied at handle of 125N. Also the outer and inner diameters of collar are 55mm and 45mm respectively. Find the collar torque in terms of clamping force W assuming uniform wear theory if nominal diameter=22mm and pitch=5mm.

We first make equilibrium equations of the sections involving the collar bearings or pivots by considering all the three dimensional forces acting on the section chosen and then the free body diagram is made and solved.

In the calculations involving the collar bearings and the pivot bearings, we use cross product. In that mathematically, for two vectors A and B of any magnitude, the cross product of both, i.e. AxB = given by: