According to Lami's theorem

• Three forces acting at a point will be in equilibrium

• Three forces acting at a point can be represented by a triangle, each side being proportional to force

• If three forces acting upon a particle are represented in magnitude and direction by the sides of a

  triangle, taken in order, they will be in equilibrium

• If three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle

  between the other two

The center of gravity of a triangle lies at the point of

• Concurrence of the medians

• Intersection of its altitudes

• Intersection of bisector of angles

• Intersection of diagonals

In a parallelogram of forces, the resultant is represented by

• The diagonal of the parallelogram

• The sum of the two forces

• The difference of the two forces

• The average of the two forces

Which of the following statements is true regarding the centroid of a triangle?

• It is always located outside the triangle

• It divides each median into a ratio of 2:1

• It is the point where the altitudes intersect

• It is the same as the orthocenter of the triangle

What is the relationship between the centroid and the area of a triangle?

• The centroid is the point that minimizes the area of the triangle

• The centroid divides the triangle into two regions of equal area

• The centroid is the point where the area of the triangle is maximized

• The centroid has no relation to the area of the triangle

In the context of forces, what does the term 'resultant' refer to?

• The sum of all forces acting on an object

• The force that opposes motion

• The average of all forces acting on an object

• The force that causes an object to accelerate

In the context of machining, cutting force refers to

• The force exerted by the tool on the workpiece

• The force required to move the tool

• The force exerted by the workpiece on the tool

• The force required to maintain tool temperature

Which of the following materials is most commonly used in the manufacturing of gears?

• Copper

• Aluminum

• Steel

• Plastic

In the context of thermodynamics, what does the term "enthalpy" refer to?

• The heat content of a system

• The work done by a system

• The internal energy of a system

• The entropy of a system

Which principle is used to calculate the force exerted by a fluid in hydraulic systems?

• • Bernoulli's Principle

• Pascal's Principle

• Archimedes' Principle

• Newton's Law of Cooling