Gerak Melingkar
56
Gerak Melingkar Dan Gravitasi Nugroho Adi P [email protected] , [email protected] htt p://aravir-rose.blogpot.com Monday, January 19, 15
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Transcript of Gerak Melingkar
Gerak Melingkar Dan
GravitasiNugroho Adi P
[email protected], [email protected] http://aravir-rose.blogpot.com
Monday, January 19, 15
Roda GilaMonday, January 19, 15
Roda GilaMonday, January 19, 15
Roda Gila
Monday, January 19, 15
Gerak Melingkar
Monday, January 19, 15
benda menempel di dinding
f - M g = 0
N ?
Monday, January 19, 15
f - M g = 0
N = M ar
Monday, January 19, 15
N merupakan perwujudan gaya sentripetal
Monday, January 19, 15
N = Mar
= Mv2
R= MR!2
Monday, January 19, 15
Syarat agar benda tetap menempel
f = M gN = Mar
= Mv2
R= MR!2Monday, January 19, 15
f ≤ µs N
Monday, January 19, 15
M g ≤ µs MRω2
Monday, January 19, 15
berapa kecepatan minimum?
Monday, January 19, 15
sistem gabungan
Monday, January 19, 15
:)apa saja yang bisa dicari?
m1
m2
Monday, January 19, 15
SetimbangT - m1 g sin θ -f = 0
m1
m2
T
m1 g sin θ
f
Monday, January 19, 15
T - m1 g sin θ -f = 0
N - m1 g cos θ = 0
m1
m2
T
m1 g sin θ
f
N
m1 g cos θ
Monday, January 19, 15
T - m1 g sin θ -f = 0
N - m1 g cos θ = 0
T - m2 g = 0
m1
m2
T
m1 g sin θ
f
N
m1 g cos θm2g
T
Monday, January 19, 15
Apa yang dicari?
m1
m2
T
m1 g sin θ
f
N
m1 g cos θm2g
T
Monday, January 19, 15
Apa yang dicari?
Monday, January 19, 15
jika kedua m sama, berapakah sudut kemiringan agar benda bergerak dengan kecepatan seragam?
Monday, January 19, 15
Bagaimana kedua m agar sistem bergerak tanpa percepatan pada sudut 30 derajat?
Monday, January 19, 15
Gerak Melingkar
v
m
r
Monday, January 19, 15
Sentripetal
ac = v2/r
Fc = m v2/r
v
mr
Monday, January 19, 15
Newton’s Universal Law of Gravitation
Fg = MmG/(r2)
Monday, January 19, 15
Benda di Permukaan Bumi
Fg = mMG/(r2)
= mg
v
mr
Monday, January 19, 15
Benda di Permukaan Bumi
g= MG/(r2)v
mr
Monday, January 19, 15
Benda di Atas Permukaan Bumi
v
mr
Monday, January 19, 15
Fc = Fg
v
mr
Monday, January 19, 15
Fc = Fg
m v2/r = mMG/r2
v2 = MG/r
Monday, January 19, 15
Fc = Fg
m v2/r = mMG/r2
v2 = MG/r
Kecepatan benda mengelilingi bumi
adalah
Monday, January 19, 15
Fc = Fg
m v2/r = mMG/r2
v2 = MG/r
Kecepatan benda mengelilingi bumi
adalah v=s/t
Monday, January 19, 15
Fc = Fg
m v2/r = mMG/r2
v2 = MG/r
Kecepatan benda mengelilingi bumi
adalah v=s/t
t=waktu
Monday, January 19, 15
Fc = Fg
m v2/r = mMG/r2
v2 = MG/r
Kecepatan benda mengelilingi bumi
adalah v=s/t
t=waktus=jarak
Monday, January 19, 15
Fc = Fg
m v2/r = mMG/r2
v2 = MG/r
Kecepatan benda mengelilingi bumi
adalah v=s/t
t=waktus=jarak
=(keliling bumi)
Monday, January 19, 15
Fc = Fg
m v2/r = mMG/r2
v2 = MG/r
Kecepatan benda mengelilingi bumi
adalah v=s/t
t=waktus=jarak
=(keliling bumi)=2πr
Monday, January 19, 15
v2 = MG/r
(2πr/t)2 = MG/r
t2 = 4π2r3/(GM)
Monday, January 19, 15
v2 = MG/r
(2πr/t)2 = MG/r
t2 = 4π2r3/(GM)
Monday, January 19, 15
v2 = MG/r
(2πr/t)2 = MG/r
t2 = 4π2r3/(GM)
Monday, January 19, 15
v2 = MG/r
(2πr/t)2 = MG/r
t2 = 4π2r3/(GM)
Monday, January 19, 15
v2 = MG/r
(2πr/t)2 = MG/r
t2 = 4π2r3/(GM)
Monday, January 19, 15
v2 = MG/r
(2πr/t)2 = MG/r
t2 = 4π2r3/(GM)
Monday, January 19, 15
Hukum Ketiga Kepler
T2 = 4π2r3/(GM)
Monday, January 19, 15
Gerak Melingkar Horizontal
Monday, January 19, 15
r
l
m
θ
Monday, January 19, 15
T cos θ
mg
T
θ
T sin θ
Monday, January 19, 15
T sin θ = mv2/r
T cos θ = mg
T cos θ
mg
T
θ
T sin θ
Monday, January 19, 15
T sin θ = mv2/r
T cos θ = mg
Monday, January 19, 15
tan θ = v2/(gr)
Monday, January 19, 15
gr tan θ = v2
gr3 tan θ = v2r2
Monday, January 19, 15
gr3 tan θ = v2r2
Monday, January 19, 15
momentum sudut
gr3 tan θ = v2r2
p = mvL = r x p
=r mv
Monday, January 19, 15
kelestarianmomentum
sudut
gr3 tan θ = v2r2
L1 = L2mv1r1=mv2r2
v1r1=v2r2
Monday, January 19, 15
gr3 tan θ = v2r2v1r1=v2r2
Monday, January 19, 15
r13 tan θ1 = r23 tan θ2
Monday, January 19, 15
Selesai
“Dan dia hidup bahagia selama-lamanya” Monday, January 19, 15
