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1 1 17 () BAC9ABC6ACB3 1 tan 6 = 3, cos 6 = AB=1 BC=2, AC= 3 2 A BC D 2 BDBD=BA 1

2 2 ABD BADBDA ABC6 BAD = (18 6 ) / 2 = 6 θ = 18 BAD = 12 () AD AD=BADCAD9 ABD ACD A dsinαsinα = d 3 sin β 3 sin β dsin = dsin, sin = sin(9 ) = cos sin α = 3sin β = 3cos α = 3(1 sin α) α β β α α 3 α = α =± < α < 2 α = 6, θ = 18 α = sin 3, sin, 9 2

3 3 F mg 3

4 4 Fcosα = mgsin α + µ ( mgcosα + Fsin α) Fcosα mgsinα µ = mg cosα + F sinα F F F = mα, α = m F = mα, F = 2 F, m = 3m α F 2F 2 α = = = m1 m 4

5 5 W = 2cos3 5 = = 86.6Nm= 86.6J 5

6 6 A h A, A, m, m p ρghaa + mag ρghab + ρg hab + mbg p = = A A a a mg a mg b ρgh + = ρgh + ρg h + A A a b a b mg b mg a Ab = ρg h, m = m ( ) ρ ha A A A b a b b a a b b CGS SI 6

7 7 π A 2 ma = kg A = = m = = A b , b (2 1 ) , ( ) a kg ρ = 1. = 1. 1 kg / m, h = 1. 1 m m m = b = = kg v dv m + mg µ v= dt dv µ µ m = g v= ( v g) dt m m µ 7

8 8 dv m v g µ µ = dt m m µ log( v g) = t+ C µ m µ m t m v g = Ce, t = v= v µ m m m C = v g, v= g+ ( v g) e µ µ µ 2 m x = x1 + gt x 1 2 µ µ t m 8

9 r r = = 4.5 Ω 2 9

10 1 Q= CV Q= CV = C V, V = V + V Q Q Q V1 =, V2 =, V = C1 C2 C = + C C C Q1 = CV 1, Q2 = C2V, Q= CV = Q1+ Q2 C = C1+ C2 C1+ C C1+ C2 + C3 = + = C C1+ C2 C3 C3( C1+ C2) C3( C1+ C2) C = C + C + C

11 11 ε S C = d Q= CV εs εs Q = 12 = 3 4d d AP PB εs ε S CAP =, CPB = d 2d Q Q=CV 11

12 12 3ε S 3ε S Q Q V = d AP 3[ V], V d PB 6[ V] C = εs = = S AP C = ε = PB d 2d V = V + V = 3+ 6= 9[ V] AB AP PB A) 7 A 2 1 N A I1 H1 H 1 I1 = 2π r F µ I I = = 2π r 1 2 F µ H1I2l l I1 12

13 13 F = v qb 2 mv = vqb r qbr mv v=, r = m qb T 2π r 2πr 2πm T = = = v qbr qb m tan(d)=r(d) 2 v=rd, =v 2 /r F=mv 2 /r 13

14 14 xy ( ex, ey, ez) ex ey e z qv B = v v = ( v B ) e + ( v B ) e + () e B z x y y z x x z y z mv mv mv x y z y x z z = qv B = qv B = xy v y qbz 2 2 vx = ( ) vx = ω vx m 2π qbz ω = 2 πf = =,: T m vx = Asin ωt+ Bcosωt 1 vy = v x = Acos ωt Bsin ωt ω t=, vx = v, vy =, x= y= A=, B= v vx = vcos ωt, vy = vsin ωt v v x = sin ω t C, y cos ω t D ω + = + ω v C=, D= ω 14

15 15 v v x = sin ω t, y (cos ω t 1) ω = ω sin ωt, cos ωt 2 v 2 v 2 vm 2 vm x + ( y + ) ( ) ( ), r : ω = ω = qb = qb z z Φ V = n t = 1 = 2 [ V ].2 I V 2 I = = =.2 [ A] R 1 B P Q 15

16 16 v= fλ 2 v1 v2 f = = λ1 λ2 λ2 v2 146 = = = 4.3 λ v

17 17 1 c f = 1 f c + v 2 c f = 2 f c v c c 2cv n= f1 f2 = = 2 2 c+ v c v c v a asin(2 π ft+ ϕ ) + asin(2 π f t+ ϕ ) f f ϕ ϕ f + f ϕ + ϕ = a π t+ π t cos(2 )sin(2 ) 17

18 18 f1 f2 f1 f2 cos 2π t = 1, 2 π t = mπ (1) 2 2 f1 f2 f1 f2 cos 2 π ( t + TB) = 1, 2 π ( t + TB) = ( m+ 1) π (2) 2 2 (2) (1) f f T = 1 T = 1 2 B B 1 f f 1 2 f 1 f Q = Q + W Q T 2 1 Q = T T Q = Q = Q + W T1 T T T (273+ 3) (273+ 8) W = Q Q = Q = Q =.78Q T1 T1 (273+ 8) 18

19 19 du = d Q pdv du dq pdv He E = m v = k T 2 2 B k B B nrt VB pdv = dv = nrt log A V VB 19

20 2 h h p =, λ = λ p h h λ = = p mv 63 Cu 65 Cu 62.93x y = x+ y = x (1 x) = x = = = y = = Cu Cu 31 2

21 21 h λ ν c hc E = hν, ν =, E = λ λ W t W t λw t n = = = E hc hc λ = =.33 1 = E mc = = = J (3. 1 ) [ ] ev = = [ ev ] [ ev ] 21

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1 1 3 ABCD ABD AC BD E E BD 1 : 2 (1) AB = AD =, AB AD = (2) AE = AB + (3) A F AD AE 2 = AF = AB + AD AF AE = t AC = t AE AC FC = t = (4) ABD ABCD 1 1 ABCD ABD AC BD E E BD : () AB = AD =, AB AD = () AE = AB + () A F AD AE = AF = AB + AD AF AE = t AC = t AE AC FC = t = (4) ABD ABCD AB + AD AB + 7 9 AD AB + AD AB + 9 7 4 9 AD () AB sin π = AB = ABD AD

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