A Level Maths Notes: M1 – People in Lifts
When analysing the forces on people in lifts, it is
important to remember:Newton's Third Law – to every action there is
an equal and opposite reaction, this means that the reaction of
anybody in the lift on the lift is the same as the reaction of the
the reaction of the lift on anybody in the lift. In the diagrams
below
is
the tension in the lift cable,
is
the mass of the person and
is
the mass of the lift
We apply![]()
For the Person:
(1)
For the lift:
(2)
Typically,
and
are
known quantities, and
can
be measured. We can find
and
from the above simultaneous equations.
From (1)![]()
(1) +(2) gives![]()