How can you determine a force from its rectangular components?
Table of Contents
- 1 How can you determine a force from its rectangular components?
- 2 Can rectangular components be vectors?
- 3 Can the rectangular component of the vector be greater than the vector itself explain?
- 4 What do you understand about the rectangular components of a vector resolve a vector A into rectangular components?
- 5 What do you mean by rectangular components of a vector resolve a vector A into rectangular components?
- 6 Can the rectangular component of the vector be greater than the vector itself?
How can you determine a force from its rectangular components?
The rectangular components may be determined graphically, where the force is shown as a vector, or algebraically. In order to resolve a vector into its components, Fx = F cos or Fy = F sin , one must know at least two items of the six geometric descriptors of a triangle (the lengths of the sides and the three angles).
Can rectangular components be vectors?
No, any rectangular component of a vector can not have magnitude more than the vector itself. As the name suggests, it’s a component of the vector. If we see mathematically, the rectangular components of a vector A is given as A cos theta and A sin theta.
What are rectangular components of a vector explain?
Rectangular components of the vector are defined as the parts of a vector resolved into vertical and horizontal vectors are rectangular components. Rectangular components are perpendicular to each other.
What do mean by rectangular components of a vector explain how a vector can be resolved into two rectangular components in a plane?
Rectangular components means the components or parts of a vector in any two mutually perpendicular axes. This could be understood by an example as illustrated below. Let a vector quantity ‘R’ inclined at an angle θ from the x-axis. By convention, we can split the vector ‘R’ in two rectangular components.
Can the rectangular component of the vector be greater than the vector itself explain?
No. The rectangular components of a vector A has values A cosθ and A sinθ. Since the values of cosθ and sinθ can never be greater than one, hence the value of any rectangular components of a vector can never be greater than the given vector.
What do you understand about the rectangular components of a vector resolve a vector A into rectangular components?
Rectangular components means the components or parts of a vector in any two mutually perpendicular axes. This could be understood by an example as illustrated below. Additional Information: For any two general vectors, we have the magnitude of their resultant R=√A2+B2+2ABcosθ.
Can the rectangular components of the vector be greater than the vector itself explain?
Can a vector have a component greater than the vectors magnitude?
The components of a vector can never have a magnitude greater than the vector itself. This can be seen by using Pythagorean’s Thereom.
What do you mean by rectangular components of a vector resolve a vector A into rectangular components?
The parts of a vector resolved into vertical and horizontal vector are rectangular components. Rectangular components are perpendicular to each other.