Further Mechanics Flashcards
What is centripetal acceleration?
The force the circling object receives
What formula is used for centripetal acceleration?
F=ma, and variants of this
What does the sum of the forces for downwards vertical centripetal motion equal?
mV^2/r = mg + Rt
What does the sum of the forces for upwards vertical centripetal motion equal?
mV^2/r = Rb - mg
What is the method for deriving centripetal acceleration?
- Draw the diagram
- Look at the vertical and horizontal components separately
- Arrange the equation to linear velocity
- Put equation 2 into equation 1
- Sin(theta) = theta for small angles
- cancel down into centripetal acceleration equation using v=r(omega)
What is linear velocity?
The rate of change of displacement
What is angular velocity?
The angle to which the point on this circle turns in one second
What is the equation for linear velocity?
V = (omega)r, which can become 2(pie)r/T
What is the equation for angular velocity?
either (omega) = 2(pie)/T or (omega) = 2(pie)f
What does non-relativistic mean?
This means under the speed of light
What is the area under a force time graph?
Momentum
What is the equation for impulse?
P=Ft
What does elastic mean?
That all energy is conserved
What is the method for working out momentum in 2D?
- Resolve all the vectors into horizontal and vertical components
- Momentum must be conserved in every direction
- Use Pythagoras to find new resultant vector
