Contents
What is the formula of couple?
A couple is defined as two parallel forces with the same magnitude but opposite in direction separated by a perpendicular distance d. = r x F (using a vector analysis). Here r is any position vector from the line of action of –F to the line of action of F.
What is magnitude of a couple?
The magnitude of the couple would be the force Fc or Ft times the distance seperating the two forces, d. This is the same type of couple that is hidden inside of solid beams.
How do you find the resultant and direction?
To draw the resultant vector, join the tail of the first vector with the second vector’s head and put the arrowhead. To determine the magnitude, measure the length of resultant R, and to find out the direction, measure the angle of the resultant with the x-axis.
What is Cartesian vector form?
The Cartesian coordinate system is defined by unit vectors ^i and ^j along the x-axis and the y-axis, respectively. The polar coordinate system is defined by the radial unit vector ^r , which gives the direction from the origin, and a unit vector ^t , which is perpendicular (orthogonal) to the radial direction.
What are direction cosines formula?
In analytic geometry, the direction cosines (or directional cosines) of a vector are the cosines of the angles between the vector and the three positive coordinate axes. Equivalently, they are the contributions of each component of the basis to a unit vector in that direction.
What is the resultant of a couple?
A couple consists of two parallel forces that are equal in magnitude, opposite in sense and do not share a line of action. The resultant force of a couple is zero.
What is resultant moment?
The resultant moment of all the forces acting on the body about the point of rotation should be zero, i.e., the sum of the anticlockwise moments about the axis of rotation must be equal to the sum of the clockwise moments about the same axis.