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FISIKA DASAR. By: Mohammad Faizun , S.T., M.Eng . Head of Manufacture System Laboratory Mechanical Engineering Department Universitas Islam Indonesia. Kinematika 1 ( Dimensi I). REFERENCES: 1. Halliday , D.A., and Robert Resnick ,
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FISIKA DASAR By: Mohammad Faizun, S.T., M.Eng. Head of Manufacture System Laboratory Mechanical Engineering Department Universitas Islam Indonesia
Kinematika 1 (Dimensi I) REFERENCES: 1. Halliday, D.A., and Robert Resnick, 2. Alonso, M., Fundamental University Physics, Erlanga: 1990. 3.Giancoli, FisikaJilid I, Erlangga, 1998. 4. Sears, F.W. and M.W. Zemansky, University Physics, 12 Edition, Pearson:2007. • 5. http://www.saskschools.ca/curr_content/physics30/kindyn/lessoni_1_1.html
A. RELATIVE POSITION • You want to go to Mira house, but you never go to there yet. Now you are lost. Then you meet with two people and ask them to give you a clue. Here are their answers: First man : Mira house is 2 km from here. Second man :You just go straight to west about and you will find “SMART” supermarket. Mira house is the fifth house behindthe supermarket, the yard is green. • First answer make you still confused. The second answer is very clear and you will arrived at Mira’s hous soon. • In this case “SMART” supermarket become a refference point. Relative position of Mira’s house is fifth house behind the “SMART” supermarket.
The components of relative position is: • Reference point, for example: here, Jogja, Post office, etc. • direction, for example: north, south, behind, up, etc. • distance, for example: 2 km, 100 m, 20 cm, etc.
Exercise: Show the refference point and components of these relative position if it’s possible: • Klaten is 20 km north of Jogja. • The car moves forward 200 meters. • Tina is now about 2 meter behind Andi. • Solo is in Central Java. • Semarang is the capital city of Central Java.
A B O cm 0 -4 -3 -2 -1 1 2 3 4 Relative position in number line. • Reference point in number line is point O. Reference point is not always at center point. • The relative position of A is written: . For example here: = -3 cm. = 4 cm. • Negativevalue mean it is in left side from the reference point, i.e. point O. • Positivevalue mean it is in right side from the reference point, i.e. point O. This is internationally accepted. So, negative or positive sign shows the direction and 3 cm or 4 cm shows the distance.
A North B South C 0 km -4 -3 -2 -1 1 2 3 4 A west C B east 8 7 6 5 mil 0 1 2 3 4 Exercise. Please determine the relative position of A, B, and C! • first number line, • second number line,
front behind Bagyo me Andi 0 m -3 4 3 m 2 m • You can set the reference point arbitrarily. This is an example. Andi stands 2 meter in front of me. Bagyo stands 3 meters behind me. • If you set myself become the reference point then you will get number line like this. • = 0 m. • = -3 m. • = 2m.
front behind Bagyo me Andi 3 m 0 5 • If we set bagyo to become the reference point then you will get the number line as below. • Please determine the relative position of me, Andi, and Bagyo!
B. JARAK, PERPINDAHAN, DAN PANJANG LINTASAN Jarak (distance) : adalahpanjangdarisebuahgarislurus yang menghubungkanduatitik. Perpindahan (displacement): adalahjarakantaraposisiawaldanposisiakhir. Panjanglintasan (length of the path): adalahpanjanglintasan yang ditempuh. Panjanglintasan lintasan
Contoh JARAK (d): • Pancang A danpancang B dipasangpadasebuahsungaidenganalursepertigambarberikut. Jarakantarapancang A danpancang B adalahpanjanggaris yang ditariklurusdari A menuju B, yakni 5 meter. Contoh lain: jaraktitik C dan D adalah 3 meter. D B 3 m m 5 A C
Y(m) Contoh PERPINDAHAN ( ) • Seekorsemutbergerakdenganlintasansepertipadagambarberikut. Tentukanbesarnyaperpindahandarisemuttersebut. • Jawab besarnyaperpindahansemuttersebutsamadenganpanjangA-A’, yakni: 3 A 2 1 A’ 0 X (m) -3 -2 -1 1 2 3 -1 -2 -3 m m m
R=10 m A B Contoh PANJANG LINTASAN ( s ) • Seekorsemutbergerakdenganlintasansetengahlingkaransepertipadagambarberikut. Tentukanbesarnyapanjanglintasandanperpindahandarisemuttersebut. • Jawab panjanglintasansemuttersebutsamadenganpanjangbusur A-B, yakni: Besarnyaperpindahansemuttersebutsamadengan panjanggaris yang menghubungkan A dan B yakni 20 meter.