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Key Equations

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Key Equations

Key Equations

resultant magnitude R=R2x+R2y
resultant direction θ=tan1(Ry/Rx)
x-component of a vector A (when an angle is given relative to the horizontal) Ax=Acosθ
y-component of a vector A (when an angle is given relative to the horizontal) Ay=Asinθ
addition of vectors Ax + Ay = A
angle of displacement θ=tan1(y/x)
velocity v=v2x+v2y
angle of velocity θv=tan1(vy/vx)
maximum height h=v20y2g
range R=v20sin2θ0g
force of static friction fsμsN
force of kinetic friction fk=μkN
perpendicular component of weight on an inclined plane w=wcos(θ)=mgcos(θ)
parallel component of weight on an inclined plane w||=wsin(θ)=mgsin(θ)
Hooke’s law F=kx
period in simple harmonic motion T=2πmk
frequency in simple harmonic motion f=12πkm
period of a simple pendulum T=2πLg