SQA Advanced Higher Mathematics of Mechanics Force, Energy and Periodic Motion overview quiz quiz

$\dfrac{v^2}{r}$

$\dfrac{r}{v^2}$

$\dfrac{\omega}{r}$

$rv$

a new force separate from the others

the resultant of the real forces directed to the centre

always equal to the weight

directed away from the centre

$\tan\theta = \dfrac{rg}{v^2}$

$\sin\theta = \dfrac{v^2}{rg}$

$\tan\theta = \dfrac{v^2}{rg}$

$\cos\theta = \dfrac{v^2}{rg}$

the speed to zero

the weight to zero

the radius to zero

the normal reaction to zero

$\dfrac{GMm}{r^2}$

$\dfrac{GMm}{r}$

$GMmr^2$

$\dfrac{GM}{m r^2}$

$\ddot{x} = \omega^2 x$

$\ddot{x} = -\omega^2 x$

$\dot{x} = -\omega x$

$\ddot{x} = -\omega x^2$

$v = \omega(a - x)$

$v^2 = \omega^2(a^2 + x^2)$

$v^2 = \omega^2(a^2 - x^2)$

$v = \omega a x$

$\dfrac{m}{k}$

$km$

$\dfrac{1}{km}$

$\dfrac{k}{m}$

$Ft$

$\dfrac{F}{t}$

$\tfrac{1}{2}Ft^2$

$F + t$

Kinetic energy

Total momentum

Speed

Acceleration

$F(t) \cdot t$

$\dfrac{dF}{dt}$

$\displaystyle\int F\,dt$

$\displaystyle\int F\,dx$

$Fd$

$Fd\sin\theta$

$\dfrac{F}{d}$

$Fd\cos\theta$

the change in kinetic energy

the change in potential energy

the impulse

the power

$\dfrac{F}{v}$

$Fv$

$\tfrac{1}{2}Fv^2$

$F + v$

$\dfrac{dv}{dt}$

$\dfrac{dx}{dt}$

$v\dfrac{dv}{dx}$

$\dfrac{d^2v}{dt^2}$

the speed is zero

the resistance is zero

the height is zero

the acceleration is zero