1.3 Statics Of The Body Flashcards
The study if Forces in equilibrium (bodies not accelerating) is
Statics
When is a system in dynamic equilibrium?
When it is in equilibrium and also in motion, meaning the system is travelling at a constant velocity/ rotating at a constant rate
In static conditions the sum of the forces F in each of the x y and z directions is
Zero
Each torque can also be resolved into components in the x,y,x direction. In _____ condition, the torques about the x,y,z axes also each sum to ____
Static, zero
When the net force and net torque is = 0 the system is said to
Be in equilibrium
Give examples on where static equilibrium may occur
When is a system said to be in stable equilibrium?
If it returns to equilibrium after being subject to a small displacement
When is a system in unstable equilibrium?
If it doesn’t return to equilibrium after being subject to a small displacement
When an object is wide up top but narrow on the bottom it is
More unstable than an object with a wider base/bottom sand narrower top
Stability is essential during standing. For stability while standing the centre of mass but be over the area spanned by the feet. What does this mean
A vertical line passing through the centre of mass passes in this area of the base of support. This makes sense because the wide base = more stability than if we were to stand on 1 leg or our heads.
If feet aren’t spanned and centre of mass is right over the area of the feet, what happens to the torque?
It’ll topple over because its unstable and unbalanced
Stable: When the centre of mass is above the base of support (area spanned by the feet) what happens
The right foot= - torque
The left foot = + torque
They cancel out
When the centre of mass is on the left or right of the toque what happens?
Right = both torques are positive, left = both torques are negative; therefore, the torques cannot balance and there is instability.
We have the most stability when the centre of mass is in the
Centre of the base of support, the term centre of gravity can be used instead of centre of mass when stability is there (when it is in the centre)
Define a torque
The tendency of a force to rotate (move in a circle) an object about its axis, fulcrum and pivot
A torque is not a force in the Newtonian sense its a
Moment
The amount of turning produced by a the force applied to a rod is dependent on the
Magnitude of the force and length of the rod, t=Fd unit: (Nm)