Mechanics Flashcards
Branch of mechanics that deals with forces and their effects on bodies at rest
Statics
Branch of mechanics that deals with forces and their effects on bodies in motion
Dynamics
Branch of dynamics that deals with bodies in motion due to the application of forces
Kinetics
Branch of dynamics that deals with bodies in motion without taking into account the forces that cause such motion
Kinematics
An agent which produces or tends to produce, destroy, or tends to destroy the motions of a body
Force
A force acting on a body may…
Change the motion of a body, retard the motion of a body, balance the forces already acting on a body, and give rise to the internal stresses in a body
To determine the effects of a force acting on a body, we must know the following characteristics of a force:
Magnitude of the force, line of action of the force, nature of the force (push and pull), and the point at which the force is acting
Magnitude of force is expressed in which units…
Newtons in SI units, kilogram force (kgf) in MKS units
Single force which produces the same effect as produced by all the forces acting on a body
Resultant force
If two forces, acting simultaneously on a particle, are represented in magnitude and direction as two adjacent sides of a (BLANK), then their resultant may be represented in magnitude and direction by the diagonal of that (BLANK). Which law does this refer to?
Parallelogram law of forces
If the resultant of a number of forces is zero, then the particle will be in…
Equilibrium
When two of more forces act on a body, they are said to form a…
System of forces
Forces whose lines of action lie on the same plane
Coplanar forces
Forces which meet at one point
Concurrent forces
Forces that meet at one point and their lines of action also lie on the same plane
Coplanar concurrent forces
If three forces acting on a body are in equilibrium, then each forces is proportional to (WHAT) between the two other forces
The sine of the angle
Turning effect produced by a force, on the body, on which it acts
Moment
What is equal to the product of the force and perpendicular distance to the body on which it acts?
Moment
SI unit of the moment of a force
Newton*meter
If a number of coplanar forces acting on a particle are in equilibrium, then the algebraic sum of their (BLANK) about any point is equal to the (BLANK) of their resultant force about the same point
Moment
Forces whose lines of action are parallel to each other
Parallel forces
Parallel forces that act in the same direction
Like parallel forces
Parallel forces that act in the opposite direction from one another
Unlike parallel forces
Two equal and opposite forces whose lines of action are different (at a normal distance from one another)
Couple
Perpendicular distance (x) between the lines of action of two equal and opposite forces
Arm of a couple
Magnitude of a couple
Product of one of the forces and the arm of the couple
A (BLANK) produces rotational motion for the body on which it acts
Couple
The point through which the whole mass of the body acts, irrespective of the position of the body
Center of gravity
COG of a uniform rod
Middle point
COG of a rectangle
Point at which its diagonals intersect
Moment of the moment, i.e. the second moment of mass or area of a body. Usually denoted with I.
Moment of inertia
Distance from a given reference where the whole mass or area of the body is assumed to be concentrated to give the same value of I
Radius of gyration (k)
Units for mass moment
kg-m2
Units for moment of inertia
m4 or mm4
If the moment of inertia about an axis passing through its center is known, then the moment of inertia about any other parallel axis is given by…
Parallel axis theorem