
Forces in Equilibrium
Lift (Elevator)
When the lift / elevator is going down,
the person experiences a downward acceleration,
a.
The resultant force acting on the person
is also downward. The equation for the resultant force can
be expressed using Newton's Second Law
which is
F = ma
where m = mass of the person.
From the forces
(R and W) shown in the diagram above, the resultant force
F can also be obtained as such:
W - R = F (resultant force)
mg - R = ma
-R = - mg + ma
R = mg - ma or R = m(g - a)
Hence, the reading of the weighing scale / machine which is the
measurement for R decreases (has a reading smaller than the
actual
weight
W = mg of the person) when the lift / elevator is moving downwards.
An interesting point for consideration:
When the (downward) acceleration
of the lift / person is equal to the acceleration due to gravity, g
the reading of the weighing scale / machine becomes
R = m (g - a)
R = m (0) because a = g
Hence, R = 0 N.
The person experiences weightlessness.
Click
on / Touch the diagram above to continue.
Keseimbangan Daya
dalam Lif
Apabila
lif bergerak ke bawah, penumpang lif mengalami pecutan
ke bawah, a .
Daya
paduan yang bertindak pada penumpang juga bertindak ke bawah.
Persamaan daya
paduan boleh dihuraikan menggunakan Hukum Newton Kedua, iaitu
F = ma
di mana m = jisim
Selain daripada itu, menggunakan daya-daya
(R dan W) yang ditunjukkan dalam rajah di atas, daya
paduan boleh juga diperolehi daripada persamaan berikut
W - R = F
W - R = ma
mg - R= ma
R = mg - ma
Yakni, bacaan skala penimbang (ukuran bagi daya tindak balas
R) menurun apabila lif bergerak ke bawah dengan pecutan.
Dalam ertikata lain, bacaan penimbang adalah lebih rendah
daripada
berat
sebenar penumpang.
Sesuatu yang menarik untuk dipertimbangkan:
Apabila pecutan
ke bawah lif dan penumpang itu bersamaan pecutan
graviti
bacaan skala penimbang akan menjadi 0 N. Ini kerana
R = m (g - a)
R = m (0) kerana a = g
Yakni, R = 0 N.
Penumpang mengalami kenirberatan.
Klik /
Sentuh pada gambar
rajah di atas untuk nota selanjutnya.