Force & Motion

(1)

AA

1.

A ,y; ,Ue;J B ,w;F nry;tjw;F A X B topNa tise;J nry;tJ JhukhFk;. mjhtJ “gazj;jpd; nkhj;j ePsk; Jhuk;” vdg;gLk;. t t A Y A Y 1. A ,y; ,Ue;J B ,w;F nry;tjw;F A B topNa

Neuhf nry;tJ ,lg;ngah;r;rp ahFk;. mjhtJ “gazj;jpd; ,ilj;Jhuk; ,lg;ngah;r;rp” B

B X

2. Jhuk; topNa nry;Yk; NghJ jpir Fwpg;gpl;Lr; nrhy;y KbahJ.

3. vdNt Jhuk; vz;ngWkjpia kl;LNk nfhz;lJ.

4. ,jdhy; Jhuk; gUkd; kl;Lk; nfhz;ljhy;“vz;zpf;fzpak;” MFk;.

,ilj;Jhuk; ,lg;ngah;r;rp” MFk;.

2. ,lg;ngah;r;rpf;F Fwpg;gl;l jpir nrhy;y KbAk;.

3. vdNt gUkDk; jpirAk; nfhz;ljhy; ,lg;ngah;r;rp “fhtpf;fzpak;” MFk;.

(2)

1.

1. Jhuk; khWk; tPjk; fjpahFk;.Jhuk; khWk; tPjk; fjpahFk;. 2.

2. mjhtJ xU mirAk; nghUs;mjhtJ xU mirAk; nghUs; XuyF Neuj;jpy; nrd;w Jhuk; XuyF Neuj;jpy; nrd;w Jhuk; mg;nghUspd; fjpahFk;. mg;nghUspd; fjpahFk;. 3. 3. fjp vz;zpf;fzpak;.fjp vz;zpf;fzpak;. fjp fjp == Jhuk;Jhuk; Neuk;. Neuk;. myF myF –– m/s OR msm/s OR ms--11 OR kmh-1 11.. ,lg;ngah;r;rp khWk; tPjk;,lg;ngah;r;rp khWk; tPjk; NtfkhFk;. NtfkhFk;. 2.

2. mjhtJ xU mirAk; nghUs;mjhtJ xU mirAk; nghUs; XuyF Neuj;jpy; mile;j

XuyF Neuj;jpy; mile;j ,lg;ngah;r;rp NtfkhFk;. ,lg;ngah;r;rp NtfkhFk;. 3. 3. Ntfk; fhtpf; fzpak;.Ntfk; fhtpf; fzpak;. Ntfk; Ntfk; == ,lg;ngah;r;rp,lg;ngah;r;rp Neuk; Neuk; myF myF -- m/s OR msm/s OR ms--11 OROR kmh-1 cjhuzk;

cjhuzk; _{-- xU fhuhdJ 24}_{xU fhuhdJ 24m}_m

Jhuj;ijf flf;f 4 Jhuj;ijf flf;f 4ss vLj;jJ.vLj;jJ. vdpd; mf; fhhpd; fjp ahJ? vdpd; mf; fhhpd; fjp ahJ? fjp fjp == Jhuk;Jhuk; Neuk;. Neuk;. = 24m = 24m 4s 4s = 6ms = 6ms--11 Q:

Q:-- A,B,C ,d; ,lg;ngah;rp ahJ?,d; ,lg;ngah;rp ahJ?

5m 5m 5m t A B C

(3)

gapw;rp

gapw;rp –– 55 msms--11 Ntfj;jpy;Ntfj;jpy;

nry;Yk; fhhpd; Ntfj;ij nry;Yk; fhhpd; Ntfj;ij kmh

kmh--11 ,y; jUf.,y; jUf. gb1:

gb1:-- mm II kmkm Mf khw;wMf khw;w 1000

1000 My; gphpf;f Ntz;Lk;.My; gphpf;f Ntz;Lk;. gb1:

gb1:-- ss I kzpahf;f 3600 My;I kzpahf;f 3600 My; gphpf;f Ntz;Lk;. gphpf;f Ntz;Lk;. MfNt : MfNt :--0 10 20 30 0 1 2 3 4 5 Time (s) D is te n ce (m ) Jhuk; (m) 0 5 10 15 20 25 Neuk; (s) 0 1 2 3 4 5 MfNt : MfNt :--,q;F fjp tiugpd; ,q;F fjp tiugpd; gbj;jpwdhFk;.gbj;jpwdhFk;. tiuG

tiuG Y = mXY = mX Mf miktjhy;Mf miktjhy; gbj;jpwd; gbj;jpwd; m = Y / Xm = Y / X MFk;.MFk;. vdNt fjp vdNt fjp == = = = = 0 1 2 3 4 5 Time (s) 15 - 10 03 - 02 5 m 1 s 5 ms-1

(4)

Ntfj;ij

Ntfj;ij YY mr;rpYk; Neuj;ijmr;rpYk; Neuj;ij X

X mr;rpYk; Fwpj;J tiuag;gLk;mr;rpYk; Fwpj;J tiuag;gLk; tiuG ,JthFk;. tiuG ,JthFk;. ,q;F Neuk; khwk; NghJk; Ntfj;jpy; ,q;F Neuk; khwk; NghJk; Ntfj;jpy; khw;wk; ,y;iy. khw;wk; ,y;iy. ““Ntfk; khWk; tPjk; Mh;KLfyhFk;Ntfk; khWk; tPjk; Mh;KLfyhFk;””.. Mh;KLfy; Mh;KLfy; == ,q;F Neuk; khWk; NghJNtfk;$lyhk; ,q;F Neuk; khWk; NghJNtfk;$lyhk; my;yJ Fiwyhk;. ( myF

my;yJ Fiwyhk;. ( myF msms--22₎₎

Ntfk; $LtJ

Ntfk; $LtJ -- Mh;KLfy;.Mh;KLfy;. Ntfk; FiwtJ

Ntfk; FiwtJ -- mkh;KLfy;.mkh;KLfy;.

Ntfk; Ntfk; 5 5 5 5 5 5 5 Ntf khw;wk; Neu khw;wk; Neuk; 0 1 2 3 4 5 6 0 5 10 15 20 25 30 35 0 1 2 3 4 5 6 Nt f k ; m s -1 rPuhd Mh;KLfy; Neuk; s Ntfk; Ntfk; 0 1 2 3 4 5 6 Neuk s 0 5 10 15 20 25 30 Ntfk; ms-1 Neuk; s

(5)

Mh;KLfy; = ,WjpNtfk; - Muk;gNtfk; Neu khw;wk;

mkh;KLfy; = Muk;gNtfk; - ,WjpNtfk; Neu khw;wk;

rPuhd Ntfj;jpd; NghJ Mh;KLfy; G+r;rpak;

rPuhd Mh;KLfypd; NghJ Ntf mjpfhpg;G rPuhf mikAk;.

(6)

Ntf-Neu tiugpd; gb ,aq;Fk; nghUs;

gazk; nra;j Jhuk; tiuG X mr;Rld;

mikf;Fk; gug;gpidf; fhz;gjd; %yk;

ngwg;gLk;.

Jhu-Neu tiugpd; gbj;jpwd; jUtJ – fjp

,lg;ngah;r;rp Neu tiugpd; gbj;jpwd; jUtJ

–

Ntfk;.

Ntf-Neu tiugpd; gbj;jpwd; jUtJ

Mh;KLfy; MFk;

(7)

S t rPuhd Ntfk; S t Xa;T epiy V t rPuhd Ntfk; V t

rPuhd mkh;KLfy; rPuhd Mh;KLfy;

a

t rPuhd Mh;KLfy;

V

(8)

tpjp 1

tpjp 1 -- Gwtpirfs; jhf;fhj NghJ Xa;tpy; cs;s nghUs; njhlh;e;Jk;Gwtpirfs; jhf;fhj NghJ Xa;tpy; cs;s nghUs; njhlh;e;Jk; Xa;tpy; ,Uf;Fk; ,af;fj;jpy; cs;s nghUs; njhlh;e;Jk; ,aq;fpf; Xa;tpy; ,Uf;Fk; ,af;fj;jpy; cs;s nghUs; njhlh;e;Jk; ,aq;fpf; nfhz;bUf;Fk;.

nfhz;bUf;Fk;. c

c--k;:k;:-- tpz;ntspapy; nghUs; xd;wpd; elj;ij.tpz;ntspapy; nghUs; xd;wpd; elj;ij.

tpjp 2

tpjp 2 -- ,aq;Fk; nghUspdJ jpzptpdJk; Mh;KLfypdJk; ngUf;fk;,aq;Fk; nghUspdJ jpzptpdJk; Mh;KLfypdJk; ngUf;fk; mjd;mjd; kPJ gpuNahfpf;fg;gLk; rkg;gLj;jg;glhj tpirf;Fr; rkdhFk;.

kPJ gpuNahfpf;fg;gLk; rkg;gLj;jg;glhj tpirf;Fr; rkdhFk;.

F = ma F = ma

c

c--k;:k;:-- xUth; js;StjpYk; ghh;f;f gyh; js;Sk; NghJ ghwhq;fy;xUth; js;StjpYk; ghh;f;f gyh; js;Sk; NghJ ghwhq;fy; mirjy;.

mirjy;.

tpjp 3

tpjp 3 -- ve;jnthU jhf;fj;jjp;Fk; rkDk; vjpUkhd kW jhf;fk; cz;L.ve;jnthU jhf;fj;jjp;Fk; rkDk; vjpUkhd kW jhf;fk; cz;L.

c

c--k;:k;:-- Nkirapy; ifahy; mbf;Fk; NghJ ifapy; Neh Vw;gly;.Nkirapy; ifahy; mbf;Fk; NghJ ifapy; Neh Vw;gly;.

F = ma F = ma

(9)

gapw;rp :- gpd;tUk; tiuig mbg;gilahff; nfhz;L fPNo Nfl;fg;gLk; Nfs;tpfSf;F tpil jUf. 0 2 4 6 8 10 12 14 16 0 1 2 3 4 5 6 7 8 9 Ntfk; ms-1 Neuk; s 1. tiufpd; gb ,af;fj;ij tpghpf;f. 2. Mh;KLfSld; nrd;w Jhuk; ahJ? 3. tz;bapd; Mh;KLfy; ahJ?

4. tz;bapd; fuhrhpf; fjp ahJ?

5. 6 – 9 nrf;fd;fspy; Mh;KLfs; ahJ?

6. tz;apd; cr;r Ntfj;ij km/h ,y; jUf.

tpil tpil tpil tpil tpil tpil tpil

(10)

1.

tz;b Xa;tpy; ,Ue;J gazj;ij Muk;gpj;J rPuhd Mh;KLfYld;tz;b Xa;tpy; ,Ue;J gazj;ij Muk;gpj;J rPuhd Mh;KLfYld; 3 nrf;fd;fs; gazk; nra;J ngw;Wf;nfhz;l Ntfj;Jld; NkYk; 3 3 nrf;fd;fs; gazk; nra;J ngw;Wf;nfhz;l Ntfj;Jld; NkYk; 3 nrf;fd;fs; gazk; nra;J gpd;dh; rPuhd mkh;KLfYld; 9tJ

nrf;fd;fs; gazk; nra;J gpd;dh; rPuhd mkh;KLfYld; 9tJ nrf;fdpy; Xa;tilfpwJ.

nrf;fdpy; Xa;tilfpwJ.

2.

VV--tt tiugpd; gb Jhuk;tiugpd; gb Jhuk; == tiugpdhy;tiugpdhy; XX mr;Rld;mr;Rld; milf;Fk; gug;G MFk;. milf;Fk; gug;G MFk;.

=

= Kf;Nfhzpapd; gug;GKf;Nfhzpapd; gug;G

= = ½ X½ X mbmb XX nrq;Fj;Jauk;.nrq;Fj;Jauk;. = = ½ X 3 X15 m½ X 3 X15 m = = 22.5 m.22.5 m. = = 22.5 m.22.5 m.

3.

Mh;KLfyMh;KLfy;; == ,WjpNtfk;,WjpNtfk; -- Muk;g Ntfk;Muk;g Ntfk; Neu khw;wk; Neu khw;wk; = = 1515 –– 00 3 3 = = 5 ms5 ms--22

(11)

4.

ruhrhpf; fjpruhrhpf; fjp == nkhj;jj; Jhuk;nkhj;jj; Jhuk; nkhj;j Neuk; nkhj;j Neuk;

nkhj;jj; Jhuk;

nkhj;jj; Jhuk; == rhptfg; gug;gsTrhptfg; gug;gsT

== ½½ (rkhe;jpug; gf;fq;fspd; $.njhif)(rkhe;jpug; gf;fq;fspd; $.njhif)

XX nrq;Fj;Jauk;.nrq;Fj;Jauk;. == ½ X ( 9 + 3 ) X 15½ X ( 9 + 3 ) X 15 == ½ X 12 X 15½ X 12 X 15 == 6 X 156 X 15 == 90 m90 m nkhj;j Neuk; nkhj;j Neuk; == 99 / ruhrhpf; fjp / ruhrhpf; fjp == 90/990/9 == 10 ms10 ms--11

(12)

5.

Mh;KLfy;Mh;KLfy; == ,Wjp Ntfk;,Wjp Ntfk; -- Muk;g Ntfk;Muk;g Ntfk; mjw;F vLj;j Neuk; mjw;F vLj;j Neuk; == 00 –– 1515 33 == --1515 33 == -- 5 ms5 ms--22

Mh;Lfy; kiwg; ngWkjpapy; cs;sjhy; ,J mkh;KLfy; vdg;gLk;. Mh;Lfy; kiwg; ngWkjpapy; cs;sjhy; ,J mkh;KLfy; vdg;gLk;.

(13)

6.

myF khw;wk;myF khw;wk;

ms

ms--11

kmh

kmh--11

==

15 X 3600

1000

==

15 X 3.6

==

54 kmh

--11

(14)

7.

JhuJhu –– Neu tiuGNeu tiuG

22.5 67.5 90.0

Jhuk; m

(15)

gapr;rp:-1. gpd;tUtdtw;Ws; NtWgl;l myiff; nfhz;l fzpak; vJ?

i. Ntiy ii. tpir iii. tpirj;jpUg;gk; iv. rf;jp

2. Jhu-Neu tiugpd; gbj;jpwd; jUtJ

i. Ntfk; ii. Mh;KLfy; iii. fjp iv. Jhuk;

3. tpirapd; rh;tNjr myF

1. Nm 2. N 3. J 4. J/s

4. GtpaPh;g;G Mh;KLfypd; rhpahd myF

1. m/s-2 2. Nm 3. g 4. ms-2

5. 10ms-1 Ntfj;Jld; ,aq;fpa fhuhdJ 2ms-2 vDk; rPuhd

mkh;KLfSld; ,aq;fp Xa;Tf;F te;jJ. jLg;G gpuNahfpf;fg;gl;l ,lj;jpy; ,Ue;J vt;tsT Jhuj;jpy; fhh; Xa;tilAk;?