Sections
Key Equations
Key Equations
resultant magnitude | R=√R2x+R2y |
resultant direction | θ=tan−1(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=tan−1(y/x) |
velocity | v=√v2x+v2y |
angle of velocity | θv=tan−1(vy/vx) |
maximum height | h=v20y2g |
range | R=v20sin2θ0g |
force of static friction | fs≤μsN |
force of kinetic friction | fk=μkN |
perpendicular component of weight on an inclined plane | w⊥=w cos(θ)=mg cos(θ) |
parallel component of weight on an inclined plane | w||=w sin(θ)=mg sin(θ) |
Hooke’s law | F=−kx |
period in simple harmonic motion | T=2π√mk |
frequency in simple harmonic motion | f=12π√km |
period of a simple pendulum | T=2π√Lg |