18 Questions
What is the purpose of resolving a vector into its components?
To simplify the vector addition process
What is the trigonometric identity used to determine the magnitude of the horizontal component of a vector?
R_x = R cos(θ)
What is the direction of the angle θ measured from?
The positive x-axis
What is the last step in the method of vector addition using components?
Use the sums to find the resultant vector
What is the resultant vector of two or more vectors acting together?
A single vector that combines the effects of multiple vectors
What is the advantage of using components to find the resultant of vectors?
It can be used for both graphical and algebraic methods
What is the preferred orientation of the components when resolving a vector?
Parallel to the x- and y-axes
What is the horizontal component of a vector R?
R cos(θ)
How do you find the resultant vector using components?
Sum all horizontal and vertical components separately
What is the first step in the method of vector addition using components?
Make a rough sketch of the problem
What is the purpose of using a right-angled triangle when resolving into components?
To apply trigonometric identities
What is the expression for the vertical component of a vector R?
R sin(θ)
Which of the following statements about resolving vectors into components is true?
The choice of orthogonal components does not affect the original vector.
What is the purpose of using trigonometric identities when resolving vectors into components?
To find the magnitudes of the components.
If the horizontal component of a vector R is Rx, what is the relationship between Rx and R?
Rx is proportional to R.
What is the benefit of using components to find the resultant of multiple vectors?
It simplifies the process of vector addition.
If the vertical component of a vector R is Ry, what is the relationship between Ry and R?
Ry is proportional to R.
Which of the following is a step in the method of vector addition using components?
Sum all horizontal and vertical components separately.
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