4.8,.13 Friction and Buoyancy & Suction
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1 Mo. Tue We. Lab ri. 4.8,.13 rictio a Buoac & Suctio Rate of Chae & Copoet Quiz 4 L4b: Buoac, Review for Ea 1(Ch 1-4) Ea 1 (Ch 1-4) RE 4. EP 4, HW4: Ch 4 Pr 46, 50, 81, 88 & CP RE 5.a bri laptop, artphoe, pa, Practice Ea 1 (ue beii of lab)
2 Cae Stu i Three Moe of Eploratio with Vari orce: Ma o Spri Theor / Aali Ste: Ball,0,0 o ( t) t Gue Solutio p v p,0,0 v,0,0 ˆ t * ( t) o * t t X cot o where: T o Cociel tell u t X co t o Siuoiall ocillate About the equilibriu With a perio that Shorte with reater tiffe Lethe with larer ae T T Doe t care about aplitue
3 T T Perio epeece o Stiffe: Suppoe the perio of a pri-a ocillator i 1. What will be the perio if we ouble the pri tiffe? (We coul ue a tiffer pri, or we coul attach the a to two pri.) a. T = 0.5 b. T = 0.7 c. T = 1.0. T = 1.4 e. T =.0
4 T T Perio Depeece o Aplitue: Suppoe the perio of a pri-a ocillator i 1 with a aplitue of 5 c. What will be the perio if we icreae the aplitue to 10 c, o that the total itace travele i oe perio i twice a lare? 1) T = 0.5 ) T = 0.7 3) T = 1.0 4) T = 1.4 5) T =.0
5 Cae Stu i Three Moe of Eploratio with Vari orce: Ma o Spri Theor / Aali How oe ravitatioal iteractio chae behavior? Ste: Ball E v p 0,,0 ŷ 0, p,0 0 o 0,,0 0, v,0 Note: I ve efie ow a + irectio So Earth pull ha + i et,, 0 E 0 E et. et. t * ( t) t * ( t) o o o o o t * ( t et. ) t * ( t * ( t * ( t) et. ) t et. ) et. t where o o o
6 Cae Stu i Three Moe of Eploratio with Vari orce: Ma o Spri Theor / Aali How oe ravitatioal iteractio chae behavior? Ste: Ball E v p 0,,0 ŷ 0 o 0 0, v,0 0, p,0,,0 et. Note: I ve efie ow a + irectio So Earth pull ha + i et,, 0 E o... et. t 0 E t * ( t) t * ( t) o o where Eact ae for a for horizotal a-pri, but hifte equilibriu t * ( t) Solutio: o o t Y cot o o HW pr 81 hit: write iilar epreio i ter of r, rea off what pla role of, a fi correpoi T. T T
7 Perio epeece o : Suppoe the perio of a pri-a ocillator i 1 with a aplitue of 5 c. What will be the perio if we tae the ocillator to a aive plaet where = 19.6 N/? 1) T = 0.5 ) T = 0.7 3) T = 1.0 4) T = 1.4 5) T =.0
8 Spee of Sou i a Soli: the reult ) ( 1 1, et ) ( 1 1 t p ) ( 1 1 t v ) ( 1 1 t t Spee of Sou i a Soli: the loic ) ( t t t t v
9 Spee of Sou i a Soli Stiffer, for a ive atoic iplaceet, reater force pulli it o reater velocit achieve. v More itace betwee ato ea further the itortio ca propaate jut throuh the liht weiht pri /bo without ecouteri the reitace of aive ato. More aive, ore iertial reitace to applie force, le velocit achieve.
10 Copreio (Noral) orce Br et = p Br t Br Table + Br Earth = 0 Br Table = Br Earth Br Table Br Earth = Br
11 Copreio (Noral) orce
12 Copreio (Noral) orce Stace Object B Moetu Upate (Newto Law) Earth = 3 Earth = 3 et = 3 + Earth 3 = 0 3 Earth ( Earth 3 ( Earth ( 1 Earth 1 p 3 t B Reciprocit (Newto 3 r Law) = - 3 = 3 + ) = - 1 = Earth ) = 1 1 Table + ) = - = Table 1 ( 1 Earth + + Earth 3 Earth ) = Table Table ( ) = Table 1 1 Earth = 1 Table 1
13 Copreio rictio (Noral) orce orce f Br table frictio = Br table horizotal Br table Br table oral Eperiet f frictio oral lii (ietic) f frictio oral tatioar (tatic) f frictio oral Br Earth
14 You puh a 100 a o the floor with a horizotal force of 400 N. It oe t ove. The coefficiet of tatic frictio i 0.6. lii (ietic) f frictio oral tatioar(tatic) f frictio oral What i the aitue of the frictioal force o the bloc b the floor? a. 980 N b. 588 N c. 400 N. Ca t tell
15 lii (ietic) frictio oral You puh a 100 a o the floor with a horizotal force of 400 N, a it ovi i the irectio ou are puhi. The coefficiet of tatic frictio i 0.3. f tatioar(tatic) f frictio oral What happe to the pee of the bloc while ou puh it? a. The pee icreae b. The pee ecreae c. The pee oe ot chae. Ca t tell
16 lii (ietic) f frictio oral You puh a 100 a o the floor with a horizotal force, a it ovi i the irectio ou are puhi at a cotat pee. The coefficiet of ietic frictio i 0.3. tatioar(tatic) f frictio oral How uch force are ou eerti o the bloc? a. 980 N b. 94 N c. 490 N. Ca t tell
17 rictio orce Eaple a a) What the acceleratio of the whole trai i ter of the ae, coefficiet of frictio, a the force eerte b the eie? Ste = trai car (eclui the eie) = ietic coefficiet of frictio trai et trai a eie + f 1 + f + f 3 trai a eie ( f 1 + f + f 3 ) ( )a 1 N N 3 N eie 1 3 f f 1 f 1 3 f 1 = 1N f 1 = 1 No vertical acceleratio 1N + 1 = 0 1N = 1 Siilarl, f = a f 3 = 3 eie ( f 1 + f + f 3 ) ( ) a eie ( ) ( ) = eie ( ) -
18 rictio orce Eaple a 1 N 3 N a) What the acceleratio of the whole trai i ter of the ae, coefficiet of frictio, a the force eerte b the eie? a eie ( ) - b) What the force the firt car eert o the eco? Ste = lat two trai car f f f = a f 3 = f + f 3 te a 1 (f + f 3 ) ( + 3 )a 1 ( + 3 )a +(f + f 3 ) 1 ( + 3 ) eie ( ) 1 ( + 3 ) ( ) eie ( + 3 )+ ( + 3 ) 1 ( + 3 ) eie ( ) +( + 3 )
19 Buoac a Archiee Priciple tri top flui Ste: bra p. t 0 et. tri botto flui top flui Earth botto flui 0 tri Buo botto flui Buo top flui flui Earth top flui botto flui flui Ste: iplace-volue of flui p flui. et. t 0 flui. iplace Buo flui. iplace botto flui top flui 0 flui. iplace Buo Archiee Priciple: Buoat force = weiht of the flui iplace
20 Buoac a Archiee Priciple Ste: bra Earth tri buo I ter of volue a eitie 0 0 tri eit tri V V V a Volue Buo Buo flui. iplace V Viplace iplace Ste: iplace-volue flui flui flui flui Earth buo flui blocearth buo bloc Special cae - floati 0 V V V V iplace iplace flui flui
21 blocearth buo bloc Special cae - floati 0 V V V V iplace iplace flui flui Sa it ol / 3 ubere a 1 / 3 above water. So, if the eit of water i 1/c 3, the what i the eit of the woo?
22 E. Hot Air oo top V oo = V air ip buo = air ip. botto Earth = oo Total a: baet, air i oo, paloa, etc.
23 Mo. Tue We. Lab ri. 4.8,.13 rictio a Buoac & Suctio Rate of Chae & Copoet Quiz 4 L4b: Buoac, Review for Ea 1(Ch 1-4) Ea 1 (Ch 1-4) RE 4. EP 4, HW4: Ch 4 Pr 46, 50, 81, 88 & CP RE 5.a bri laptop, artphoe, pa, Practice Ea 1 (ue beii of lab)
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