1. 4cm 16 cm 4cm 20cm 18 cm L λ(x)=ax [kg/m] A x 4cm A 4cm 12 cm h h Y 0 a G 0.38h a b x r(x) x y = 1 h 0.38h G b h X x r(x) 1 S(x) = πr(x) 2 a,b, h,π

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1 . 4cm 6 cm 4cm cm 8 cm λ()=a [kg/m] A 4cm A 4cm cm h h Y a G.38h a b () y = h.38h G b h X () S() = π() a,b, h,π V = ρ M = ρv G = M h S() 3 d a,b, h 4 G = 5 h a b a b = 6

2 ω() s v m θ() m v () θ() ω() dθ() = ω() d s ss v θ() m θ s θ s v s d θ θ() = lm = = sω() d v mv K = mv + mv + K = ms ω() + ms ω() + = ms ω( ) ms (momen of Inea) I = m s I = ρ() sdv ω() K = Iω( ) m I v () ω() mv() Iω()

3 M M M M M M 3 M M M M ( + ) b a Ma ( + b ) O M / G Ma ( + b ) 3 am a b M 5 X M 3 I m h m h mh a >> Z Y dd M (a) (b) d d d h

4 ω+ ω OI φ I θ ω ω() θ + ω()+ ω O cosφ φ θ P OP cosφ sn φ θ ( sn φ) θ ω() ω()+ ω Iω( ) I( ω() + ω) I( ω() + ω) Iω() ( sn φ) θ ω ( ω) θ Iω() + I = ( sn φ) dω() dθ() Iω() = ( sn φ) d d ( ω) dθ() = ω() d I d ω() = sn φ d () () (φ) snφ m I v () ω() = sn φ = sn φ (+)( ) N = + φ φ

5 ab I m T MI O C mg I O T T m a b S A M M (<<) M v B ω ωv v v = A I= v v v() m() = M( ) = v( ) v()= d v,, v ( )= d T T T d d = = T= v v v()

6 M d () = d I d ω( ) = d () ω() N MI N 3 = N = = (, y ) = (, y ) f = (,), f = (, y ) y f y f N = y + y f f = y = ( y + y) = ' = ( ', y' ) = ' + = ' + y = y' + y y ' (', y' ) (, y ) = ( y + y ) = ( y' + ) + ( ' + ) = ( y ' + ' y ) + y { y y } y = ( y ' + ' y )

7 W W N cos 7 = sn 7 W + W = y W N = W Y X W N = W W ( 8 7) 7 sn 7 W ( 7) = W = W 7 =.6 W sn 7 = 94. cos 7 = 34. =.5 W W W W N C C = W 5 N + W W = 5 W N 5 3 = N W = 4 5 N = 7.5 cm = 8 W 5 = 4.6 cm Y N X cos 7 = sn 7 W + N = y N ( 8 7) 7 sn 7 W ( 7) = =.45 W =. W

8 5N N [hn] [hn] m W Wm W =. W W 3 W =.4 W 3 3 W X θ Y (, y) θ,, y, W.5m N d 4N 35N W = 5 N d = 3 cm = 35 cm W W +m

9 M θ WM W θ a, b, c h a =.h, b =.8h, c =.h a A θ O W B Y X W =.4W b (, y ) c W+M C Wθ, W θ θ θ θ

10 . G π 3 kg, 6 4 kg, 7 5 km, 6 3 km () v M m () T v T (3) ρ G,, ρ, T,, π (4) m. m k v αv cos(ω ) () () () () = A cos(ω + δ), A = m (ω ω ) + ( αω m ) () ω δ () ω δ (3) (α = k = N/m m = 4 kg f = Hz (ω = πf ) cm π = [m] ρ [kg/m 3 ] α α < = φ < = α z () y () y (3) z (4) 6

11 4. () +e e +e e +e () e d +e -e d +e e A A d 9 A +e -e (3) +e -e d -e (4) +e A (5) () +e A -e (Na + ) (Cl ) d Na + Cl Na + (6) Na + Cl Cl Na + d (7) Na + Na + Na + (8) Cl Cl Na + (9) d =3 Å (6) (8) e =.6 9 C Å= m Na + Na + Cl Na + () (9) mol kj/mol () 4 kj/mol () 63

12 5. 8 kg 7 kg,,,,,,,,, OA, AB, BC, CD, DE, G, GH, HI, IJ, JK,, m/s ) BC.4. D E C O A B G H I. J K ) BC, 3) BC,, 4) (O D) 5) HI 6) HI, 7) HI,, 8), (G K) 9) 64

13 6. l [m] m [kg] C θ [ad] θ y θ() B T () ) B ((), y()) l θ() A l θ() y T() B mg C () =, y() = () ) B : m d () d = 3, y : m d y() d = 4 () 3) () () ( ) dθ() d θ() d d = 3 (3) ( ) dθ() y d θ() d d = 4 (4) 4) (3) (4) T () 9 d θ() d = (5) θ() 5) θ() sn θ() θ() 6) ( d(), dy() ) d d () l dθ()/d 7) A C 3 8) B m, l, g, θ(), dθ()/d 4 A B (6) 3 = 4 (7) 9) (3) (4) (7) T () m, g, θ(), θ T () = 5 (8) ) (8) 6 7 θ = π/

14 7. [m] α [ad] m [kg] y Δθ α α y y θ ) λ [kg/m] m,, α λ = () ) (, y) θ, y, θ =, y = 3 () 3) θ m λ,, θ m = 4 (3) 4) (, y ) = 5 7 dθ, y = 5 m 6 m 6 5) = 6) y, α 8 dθ (4) θ [N] 7), θ = 9 (5) Δθ f Δ Δθ Δθ ω [ad/s] ω λ θ f = λ θ ω (6) 66

15 8) θ (6) 9) sn lm = (5) (6) λ,, ω = (7) ) (7) ω m, α l oal oal = (8) ) m oal ω ) l m = oal (9) 3) (9),(8),(7),() l, α y 8. l +q +Q () +q +q () k () (3) (4) +q l << l (3) δ << ( + δ) α + α δ (5) +q (4) () m 67

16 (6) = () (7) m, l, q, Q, k π (8),.7 7 [kg],.6 9 [C] k = 9 9 [N m /C ] l nm [] [Hz] 3 [Hz] 4 [Hz] 5 [Hz] 6 [Hz] 9. l m m α α y = () I I α ω() v() N () Mg I = m ( ) + l, I = I + + l m () M(= m + m ) Mg, N, I = m I = m = (), v() (3) ω() I (4) v() ω() v() = ω() 68

17 (5) Mg sn α = + M I (),(3),(4) (6) (5) v() = ω() = v() () M,, I, g, α, (7) H = T ) V Ω g, H, M,, I v() = ω() = y = (8) = = T (7) (9) () (8) V α = T H. G G G B d, G l G l m 66% m 34%d = cm, l = 3cm () B G l θ A C C C C B B C a b B, C E D D m g G B D B G l (), m g, (, y ) 69

18 (3) (4) θ m, g, l, a, b, θ (5) / θ (6) m g G m g G B N N (7) N m, m, g (8) (9) N N θ m, m, l, l () N θ cos m G m G m G d G θ m g a y b θ θ a b y N θ G m g N G m g cosθ θ 7

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