V.sin. AIM: Investigate the projectile motion of a rigid body. INTRODUCTION:
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1 EXPERIMENT 5: PROJECTILE MOTION: AIM: Invesigae e projecile moion of a rigid body. INTRODUCTION: Projecile moion is defined as e moion of a mass from op o e ground in verical line, or combined parabolic moion of wo masses wi consan velociy on orizonal line. During all ese moions wen e air resisance is ignored, e only force on e mass is e graviy (g= graviy consan) wic is consan and due o ground(?). Te orizonal componen of acceleraion is a =0 and verical compone a y=-g. Figure.1. acceleraion componens of paricle in and y direcions Te firs posiion a =0, 0=0, y 0=0. Te velociy is v 0 and e angle beween e velociy vecor and e -direcion is ϴ 0,.cos.sin Figure.. e velociy componens of e paricle on and y direcions
2 Wile > 0, using e acceleraion componens ; cos cs g sin g y Figure.3. e pa of e paricle in projecile moion elociy of e paricle in some cosen poins during e projecile moion. In below able e velociy componens are given, ere be careful a a e maimum eig e velociy componens are zero! Table.1. elociy and acceleraion componens in cosen poins during projecile moion cos 1 1 y g sin g Parabolic moion of paricle can be derived by;
3 cos, using is in equaion below; cos 1 1 y g sin g Finally we will find; g yan0 cos 0 ; Tis is e parabole equaion. Figure.4. Range and maimum eig in projecile moion Maimum Heig () and Range(R): (ma): Te maimum eig were e verical componen of e velociy is zero. Te coordinaes of e paricle a is ime is (R/,). So as o find e paricle coordinaes we need o find (e ime required for paricle o reac maimum eig). A e peak poin v y=0 and en, 0 g y 0 sin0 and is; 0sin0 g. In maimum eig equaion using e ime value ;
4 1 y ( 0sin 0) g,, y sin 1 y g g sin g ( 0sin 0)( ) ( ) Maimum eig value for e paricle in projecile moion is given as; ma sin g. 0 R(range): e oal pa wic is aken (alınan yol? nasıl cevrilir bilemedim)on -ais during e projecile moion. Te coordinaes are (R,0). 1 ( 0cos 0) a, a 0, R, ( ) Te range during e projecile moion is given as; R 0 0 ( cos )( ) Inclined Air Desk: Figure.5.Inclined airdesk We can modify our equaions for e inclined air desk. New acceleraion direcion will be down (-y direcion) and magniude is a g sin(=angle beween inclined plane and orizonal surface). Ceck e figure below. Te projecile moion of e paricle is given in figure.6.
5 Figure.6. Projecile moion of paricle =0, 0 =0,y 0 =0,v 0 = and e angle ϴ 0 ; cos sin 0,a =0,a y =-gsinα cos cs a sin ( g sin ) y Posiion componens of e paricle; cos cos 1 1 y a 0 sin 0 ( g sin ) Te maimum eig () and e range (R); (ma) : 0sin 0 g sin 0 sin 0 ma g sin R( range) R ( 0cos 0)( ) EQUIPMENT An air able, a puck sooer, wooden blocks (o il e air able o e desired angle of inclinaion), a ruler, millimeric grap paper.
6 PROCEDURE 1. Pu e puck a e op of e inclined plane of e air able. Acivae only e (P) swic. Ceck a e puck falls freely down e plane.. Te eperimen will be carried ou on a orizonal leveled air able. Terefore, before you sar e eperimen, level off e air able as described in e firs par of is manual. 3. Place e puck sooer on e corner of e airdesk wic is skeced in figure Jus one puck will be used in e eperimen, so fi e oer one on one of e corners of e airdesk. 5. Adjus e angle of e puck sooer o e required angle. Keep i on mind a e real projecile angle is π/-(e angle beween puck sooer ais and e y-ais). 6. Increase e frequency of e spark imer if you wan o increase e number of daa poins. 7. Acivae only e pump swic (P), and projec e puck properly ino e puck sooer. Srec e rubber and release e puck and ry a few imes so as o fling e puck wi proper sooing angle and projecion pa. 8. Now acivae e pump swic(p) and spark imer (S) simulaneously, and do your eperimen. 9. Remove your daa paper from e able and ceck e daa poins on e paper. Your resuls sould be similar o e daa poins wic are given in figure 7. Figure.7. epeced daa poins for projecile moion 10. Sar from e firs daa poin and circle and number all of em. 11. Place and y ais on e daa see. 1. Find e projecions of all poins on e and y aes and mark em on bo aes.
7 Figure.8. projecions of e daa poins on bo orizonal and verical aes 13. Calculae oal flig ime ( f ) and range (R) of e projecion moion. f =.. R= Calculae v. v = 15. Measure maimum eig of e moion. Ten calculae is value by using e maimum eig value ma formula. Compare e calculaed and measured values. ma (measured)=. ma (calculaed)=. 16. Measure e range of e moion. Ten calculae is value by using e range (R)Formula. Compare e calculaed and measured values. Commens and Discussion: R(measured)=. R(calculaed)= Wrie down any commens relaed o e eperimen, and/or elaborae on and discuss any poins (if ere are any):...
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