Resolving a Vector Into Perpendicular Components (Leaving Cert Physics): Quizzes

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Resolving a Vector Into Perpendicular Components
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What is vector resolution?

Breaking a vector into component vectors

Vector resolution is the reverse of which process?

Finding resultant using parallelogram law

What angle do perpendicular components make with each other?

90°

What is the formula for the horizontal component of a vector?

x=rcos⁡θx = r \cos \theta

What is the formula for the vertical component of a vector?

y=rsin⁡θy = r \sin \theta

A 50 N stone rests on a roof at 20° to horizontal. What is the component perpendicular to the roof?

47 N

A 50 N stone rests on a roof at 20° to horizontal. What is the component parallel to the roof?

17 N

A 200 N pendulum hangs at 50° to vertical. What is the component parallel to the string?

129 N

What formula gives the original vector magnitude from its components?

r=x2+y2r = \sqrt{x^2 + y^2}

Which is NOT listed as an application of vector resolution?

Electric circuit analysis

How do component magnitudes compare to the original vector?

Components should be smaller

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