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Engineering Mechanics is the branch of physics that deals with the analysis of forces and their effects on bodies in equilibrium and motion. Key principles include the laws of motion, equilibrium conditions, and the beha…
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State and prove Parallelogram law of forces.
The Parallelogram law states that if two forces acting at a point are represented in magnitude and direction by the two sides of a parallelogram, then their resultant is represented by the diagonal.
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State and prove Lami’s theorem.
Lami's theorem states that if three forces acting at a point are in equilibrium, then each force is proportional to the sine of the angle opposite to it.
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Explain screw jack with neat sketch.
A screw jack is a simple machine used to lift heavy loads by converting rotational motion into linear motion.
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A body of weight W is placed on a rough inclined plane of inclination α. Find the force which should be applied parallel to the plane so that the body is on the point of motion: (i) down the plane (ii) up the plane.
The required force is F = W sin(α) + μW cos(α) for down the plane, and F = W sin(α) - μW cos(α) for up the plane.
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Determine the magnitude and direction of the resultant of the following set of forces acting on a body: (i) 200 N inclined 30° with east towards north, (ii) 250 N towards the north, (iii) 300 N towards north west, and (iv) 350 N inclined at 40° with west towards south. What will be the equilibrant for given force system?
The resultant can be calculated using vector addition; the equilibrant is equal in magnitude and opposite in direction to the resultant.
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A force of 200N is acting at point B of a lever AB which is hinged at its lower end as shown in fig. (a). Find the moment of force about the hinged end.
The moment of force is calculated as M = F × d, where d is the distance from the hinge to point B.
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A force of 600 N acts on a bracket as shown in fig (b). Determine the moment of force about points B and C.
The moment about point B and C can be calculated using M = F × d for each respective distance.
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Define coplanar concurrent and Non-coplanar concurrent forces.
Coplanar concurrent forces act in the same plane and meet at a common point; non-coplanar concurrent forces do not lie in the same plane.
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Differentiate between scalar and vector quantities.
Scalar quantities have magnitude only, while vector quantities have both magnitude and direction.
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Define the moment of a force about a point. Write the mathematical expression for the moment of a force.
The moment of a force is the measure of its tendency to cause rotation about a point, calculated as M = F × d, where d is the perpendicular distance.
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Define friction. What causes friction between two surfaces?
Friction is a force that opposes the relative motion of surfaces in contact, caused by surface roughness and adhesion.
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What is a wedge in engineering mechanics?
A wedge is a simple machine that converts a force applied to its blunt end into a force perpendicular to its inclined surfaces.
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What is the condition for a body to start sliding?
The body will start sliding when the applied force exceeds the maximum static friction.
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What is meant by the resultant of a force system?
The resultant of a force system is a single force that has the same effect as the combined forces acting on a body.
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Define Engineering Mechanics.
Engineering Mechanics is the study of forces and their effects on bodies.
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Define rigid body.
A rigid body is an idealized solid body in which deformation is negligible.
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Define principle of transmissibility of forces.
The principle states that the effect of a force on a rigid body is the same regardless of its point of application.
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Define equilibrium of a rigid body.
A rigid body is in equilibrium when the sum of forces and the sum of moments acting on it are zero.
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What is free body diagram?
A free body diagram is a graphical representation of a body and the forces acting on it.
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Write the three equations of equilibrium for a coplanar system.
∑Fx = 0, ∑Fy = 0, ∑M = 0.
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What is meant by a force? State its SI unit.
A force is an interaction that causes an object to change its velocity; its SI unit is Newton (N).
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