circular motion - objective (1)

8/10/2019 Circular Motion - Objective (1)

http://slidepdf.com/reader/full/circular-motion-objective-1 1/28

1.1.1.1. I v ,

( ) r v / 2 ( ) vr ( ) r v / ( ) vr /

2.2.2.2. 1m 2m 1r 2r .

t .

( ) 21 : mm ( ) 21 : r r

( ) 1 : 1 ( ) 2211 : r mr m

3.3.3.3. A 15 / . I ,

( ) D ( ) ( ) H ( )

4.4.4.4. A m r v .

r

mv 2

.

( ) r r

mvπ ×

2

( )

( )2

2

r

mv ( )2

2

mv

r π

5.5.5.5. I , ( )

( ) C ( ) C ( ) C

6.6.6.6. A m l v .I , ( ) ( ) ( )

( ) l

mv 2

7.7.7.7. A . I

( ) A ( ) A ( ) A ( ) A

8.8.8.8. A ( ) C ( )C ( ) C ( ) C



9.9.9.9. A P '' a v . C AB . P A

C ( ) 1 : 1 ( ) 1 : 2

( ) 2 : 1 ( ) 4 : 110.10.10.10. A

( ) B ( ) D ( ) D ( ) D

11.11.11.11. 1r 2r

.

( )1

2

r

r ( )1

2

r

r

( )2

2

1

r

r ( )2

1

2

r

r

12.12.12.12. A . D ( ) E ( ) M ( ) E ( ) N

13.13.13.13. A . I ,

( ) A ( ) A ( ) O ( )

14.14.14.14. A . I ,

( )

( ) ( )

( )

15.15.15.15.

( ) N

( ) N

( ) N

( ) I

16.16.16.16. A m .

( ) A ( )

( ) M ( ) K



17.17.17.17. O ,

( ) H

( ) B

( ) E ( ) B

18.18.18.18. I ,

( )r

mvmg

2

+ ( )r

mvmg

2

−

( )r

gvm 22

( )r

gv2

19.19.19.19. A

( ) C ( ) C

( ) D

( ) C

20.20.20.20. A . ,

( )

( )

( ) B

( ) E 21.21.21.21. A

( ) G ( )

( ) ( )

22.22.22.22. 10 5 R r .

( ) r R / ( ) Rr /

( ) 22 / r R ( ) 22 / Rr 23.23.23.23.

( ) 1 : 12 ( ) 6 : 1( ) 12 : 1 ( ) 1 : 6

24.24.24.24. A . I ,

( ) ( ) ( ) ( )

25.25.25.25. A 150/ , o12 . ) / 10( 2smg =

( ) 10.6 ( ) 9.6( ) 7.4 ( ) 5.8



26.26.26.26. A . I ( ) ( ) A( ) K ( ) D

27.27.27.27. A 72/ 20.

10 / 2. I ,

( ) 6tan 1−=θ ( ) 2tan 1−=θ

( ) 92.25tan 1−=θ ( ) 4tan 1−=θ 28.28.28.28. A . A ,

( ) ( ) ( ) ( )

29.29.29.29. 120 / ( ) srad / 2π ( ) srad / 4 2π

( ) srad / π ( ) srad / 4π

30.30.30.30. A , ( ) ( ) E ( ) I ( ) C

31.31.31.31. A . I1 R 2 R

, ( ) 21 R R = ( ) 21 R R <

( ) 21 R R > ( ) 21 R R ≥

32.32.32.32. A 100 2 . 200 . .

( )

( ) 8.76 ( ) 8.94

( ) 89.42 ( ) 87.64

33.33.33.33. A 10 . I 50. 1.5.

( ) 2.5 / ( ) 4.5 /

( ) 6.5 / ( ) 8.5 /

34.34.34.34. C sec / 1 rev . I

20 ,

( ) 28 sec / 1020 m× ( ) 25 sec / 108 m×

( ) 25 sec / 10120 m× ( ) 28 sec / 104 m×

35.35.35.35. A .

( ) A ( ) A

( ) A ( )



36.36.36.36. ' 1. 15

( ) ( ) sec / 230

cmπ

( ) sec / 30

cmπ ( ) sec /

30

2cm

π

37.37.37.37. A 25 . 2 / sm

( ) 2π ( ) 28π

( ) 24π ( ) 22π

38.38.38.38. A 30 . I 1200. . .

( ) 1600 2sec / m ( ) 4740 2sec / m

( ) 2370 2sec / m ( ) 5055 2sec / m

39.39.39.39.

( ) C ( ) C

( ) ( ) N

40.40.40.40. C ,

( ) G ( ) C

( ) C ( ) F

41.41.41.41. A m r . I p .

( ) pmr ( ) p

rm

( )r

mp 2

( )rm p 2

42.42.42.42. A '' r .

( ) P 2r ( ) I r

( ) P r ( ) P r / 1

43.43.43.43. M m l .

ω . I , M

( )m M

Ml+

( )m M

ml+

( ) l M

m M + ( ) l

m

m M +

44.44.44.44. A 20 .sec / 20 metres

90. )sec / 8.9( 2mg =

( ) o25.60 ( ) o90.63

( ) o12.26 ( ) o00.30



45.45.45.45.

( ) A r

v 2

( ) A r

v 2

( ) E

( ) A

46.46.46.46. R . b . h v

. h

( ) Rg

bv 2

( ) Rgb

v

( ) g

Rv 2

( ) R

bv 2

47.47.47.47. . I

( )

( )

( )

( ) 48.48.48.48. A R . . A

,

( ) I ( ) D

( ) ( ) F49.49.49.49. A 2

. K .

( ) 14 ( ) 10

( ) 2.25 ( ) 7 50.50.50.50. m

r v

( ) mvr ( ) r mv / 2

( ) mr v 2 / ( ) rmv / 51.51.51.51. A 10. A 250

10 .

( ) 20 / ( ) 40 /

( ) 100 / ( ) 200 / 52.52.52.52. A 500 50 36/ .

( ) 250 ( ) 750

( ) 1000 ( ) 1200



53.53.53.53. A 0.25 1.96 . 25.

( ) 14 / ( ) 3 /

( ) 3.92 / ( ) 5 / 54.54.54.54. A 5 m1 2 / .

( ) 10 ( ) 20

( ) 30 ( ) 40 55.55.55.55. I m r

) / ( 2r k − ,

( )r

k 2

− ( )r k

−

( )r

k 2− ( )

r

k 4−

56.56.56.56. A 16 144 . 16 .

,

( ) 20 1−ms ( ) 16 1−ms

( ) 14 1−ms ( ) 12 1−ms

57.57.57.57. A 1000 o45 . 2000 , 0.5

( ) 172 / ( ) 124 /

( ) 99 / ( ) 86 / 58.58.58.58. ' 6.

( ) 6.28 0 / ( ) 8.88 4.44 /

( ) 8.88 6.28 / ( ) 6.28 8.88 / 59.59.59.59. A m l

v .

( ) 0 ( ) ll

mvπ 2.

2

( ) lmg π 2. ( ) )(.2

ll

mv

60.60.60.60. A 20. I 10 / .

( ) 10 / ( ) 2 /

( ) 20 / ( ) 2 / 61.61.61.61. F 100.

0.2

( ) 0.14 / ( ) 140 /

( ) 1.4 / ( ) 14 /



62.62.62.62. A

( )r

Mv Mg

2

+ ( )r

Mv 2

( ) Mg ( ) N

63.63.63.63.

( )30π / ( ) π 2 /

( ) π / ( )π 60 /

64.64.64.64. 100

( ) 1.66 / ( ) 10.47 /

( ) 10.47 / ( ) 60 /

65.65.65.65. A 100 .

( ) 100 ( ) J r )100 / ( ( ) J r ) / 100( ( )

66.66.66.66. A 1 . 10.

( ) 0.2 sm / π ( ) sm / 2 π

( ) 2 sm / ( )

67.67.67.67. A m60 .

0.75,

( ) 2.1 sm / ( ) 14 sm /

( ) 21 sm / ( ) 7 sm /

68.68.68.68. A 2000 9.5. .

( ) 1.5 ( ) 1.5

( ) 7.5 ( ) 7.5

69.69.69.69. A 0.4

( ) 0.8 / 2 ( ) 0.4 / 2

( ) 22 / 6.1 smπ ( ) 22 / 4.0 smπ

70.70.70.70.

( ) 2/ ( )

( ) 2 ( ) /

71.71.71.71. A

( ) ( )

( ) ( ) L

72.72.72.72. I ( ) M ( ) C . . 1/2 2 ( ) C . . 2 ( ) C . .



73.73.73.73. A 100/ 100 .

( ) 1 / ( ) 2 / ( ) 3 / ( ) 4 /

74.74.74.74. A . M ( ) ω 2 ( ) C( ) ( ) N

75.75.75.75. , k ji ˆˆ4ˆ3 +−=ω r k jir ˆ6ˆ6ˆ5 +−=

r

( ) k ji ˆ3ˆ2ˆ6 −+ ( ) k ji ˆ2ˆ13ˆ18 +−−

( ) k ji ˆ6ˆ13ˆ4 +− ( ) k ji ˆ8ˆ2ˆ6 +−

76.76.76.76. A 50 . I 10 20,

( ) 493 / 2 ( ) 720 / 2

( ) 860 / 2 ( ) 990 / 2 77.77.77.77. A 100 9/ 30.

( ) 1000 ( ) 706 ( ) 270 ( ) 200

78.78.78.78. 30 , 0.4,

( ) 10.84 / ( ) 9.84 / ( ) 8.84 / ( ) 6.84 /

79.79.79.79. 70/ . I 0.5,

( ) 70 / ( ) 35 / ( ) 30 / ( ) 20 /

80.80.80.80. A 34.3 22 . , ,

( ) 45 ( ) 40 ( ) 42 ( ) 48

81.81.81.81. A . ,

( ) K 4 / 2

MV ( ) M ( ) M 2 ( ) K 2 MV

82.82.82.82. A 0.1 . 1. 10. . . K ,

. ( ) 5 . . . ( ) 10 . . . ( ) 20 . . . ( ) 14 . . .

83.83.83.83. A 314 1

320 . G = 9.8 2, ( ) 30 ( ) 90 ( ) 45 ( ) 60



84.84.84.84. I 4 .

( ) 22 / smπ ( ) 22 / 2 smπ

( ) 22 / 4 smπ ( ) 2 / 8 smπ

85.85.85.85.

A 10 0.3 . I 4.8 107

/2

. 10 6 2.

( ) 8 / ( ) 4 / ( ) 2 / ( ) 1 /

86.86.86.86. I ,

( ) P ( ) ( ) O ( ) N

87.87.87.87. A , , . F ,

,

( ) ( )

( ) ( )

88.88.88.88. I 4.9/

4 , ( ) 0.41 ( ) 0.51

( ) 0.61 ( ) 0.71

89.89.89.89. A . I .

( ) M ( ) B ( )

( ) M



90.90.90.90. A 100 10 / .

( ) 0.01 / ( ) 0.1 / ( ) 1 / ( ) 10 /

91.91.91.91. A . I

( )m

F r ( )r F

( ) r mF ( )r m

F

92.92.92.92. I ,

( ) N ( ) G

( ) M ( ) E

93.93.93.93. A .

( ) T v / 2 π ( ) T r / 2 π

( ) T r / 2 2π ( ) T v / 2 2π

94.94.94.94. ( 1) 150 0.6

( ) 60 ( ) 30( ) 15 ( ) 25

95.95.95.95. A . A

( ) C ( ) C ( ) G ( ) A

96.96.96.96. A .

( ) D ( ) H

( ) 4 ( )41

97.97.97.97. 0.25. 40 ( = 10

2)

( ) 40 1 ( ) 20 1 ( ) 15 1 ( ) 10 1

98.98.98.98. A 10 40 . 2 20

( ) 70 ( ) 140

( ) 110 ( ) 220

99.99.99.99. A 1.6 10 27 0.10 4 10 13 .

( ) 0.08 10 8 ( ) 4 10 8

( ) 8 108 ( ) 12 10 8



100.100.100.100. A . I

( )

( ) 2

( ) (1/2) 2

( ) 2

101.101.101.101. I

( ) B

( )

( ) B

( )

102.102.102.102. , ,

( )

( ) ( ) F

( )

103.103.103.103.

( )

( )

( )

( )

104.104.104.104. I r a t a ,

( ) 0=r a 0=t a ( ) 0=r a 0≠t a

( ) 0≠r a 0=t a ( ) 0≠r a 0≠t a

105.105.105.105. A 10/ 50.

( )

−

10

1tan 1 ( )

−

5

3tan 1

( ) )1(tan 1− ( )

−

51

tan 1

106.106.106.106. I 1 : 2, , ,

( ) 1 : 4 ( ) 4 : 1

( ) 1:2 ( ) 2:1

107.107.107.107. A 100 31.4/ .

( ) ( ) 31.4 /

( ) 3.14 / ( ) sm / 4.312 ×



108.108.108.108. A 1 0.1 3 / , ,

,

( ) N smsm 5.35, / 5.35, / 88.1 2

( ) N smsm 5.45, / 5.45, / 88.2 2

( ) N smsm 5.55, / 5.55, / 88.3 2

( ) N 109.109.109.109. 400/

160 ,

( ) 2 / 1 skm ( ) 2 / 100 sm

( ) 2 / 10 sm ( ) 2 / 1 sm

110.110.110.110. A 800 40. I 0.5,

( ) 7 / ( ) 14 / ( ) 8 / ( ) 12 /

111.111.111.111. A 500 50 36/ .

( ) 1200 ( ) 1000

( ) 750 ( ) 250

112.112.112.112. 1 R 2 R .

( )2

1

2

R

R ( ) 2

1

R

R

( )2

2

1

R

R ( ) 21 R R

113.113.113.113. I

( ) ( ) M

( ) K ( ) M

114.114.114.114. v ω

( )

( )

( )

( )

115.115.115.115. A . I 0ω . I

, 0T

( ) 0T ( ) 2 / 0T

( ) 04 T ( ) 08 T



116.116.116.116. I 1.0 , , 1.0 ().

( ) sm / 14.3 ( ) 2.0 sm /

( ) 1.0 sm / ( )

117.117.117.117. . A . I 0,

( ) 3 : 5 : 7 ( ) 3 : 4 : 5

( ) 7 : 11 : 6 ( ) 3 : 5 : 6

118.118.118.118. A ,

( ) D

( ) H

( ) ( )

119.119.119.119. A m1 . I 22 44 ,

( ) 22

4−ms

π

( ) 22 −msπ

( ) 22 −msπ

( )22 −

msπ 120.120.120.120. A

0.5 / . ?

( ) 0.25 ( ) 2

( ) 4 ( ) 2.5

121.121.121.121.

( ) sec / 86400

2rad

π ( ) sec / 3600

2rad

π

( ) sec / 24

2rad

π ( ) sec / 6400

2rad

π

1.0



122.122.122.122. I ' 3

( ) 0.2047 / .,0.0314 /

( ) 0.2547 / .,0.314 / ( ) 0.1472 / .,0.06314 /

( ) 0.1047 / .,0.00314 /

123.123.123.123. I R .

( ) gR2 ( ) gR2

( ) gR3 ( ) gR

124.124.124.124. A m R .

( ) Rg ( ) 2)( Rg

( ) g R / ( ) Rg

125.125.125.125. A l .

( ) gl ( ) gl2

( ) gl ( ) gl2

126.126.126.126. A . N

( ) N

( ) I

( ) N

( )

127.127.127.127. A 1.6 ,

( 2sec / 10 mg = )

( ) 4 / ( ) 6.25 /

( ) 16 / ( ) N 128.128.128.128. A . I

. I 2, 1θ . I 2 ,

2θ . 12 / θ θ

( ) 1 ( ) 2

( ) 3 ( ) 5

129.129.129.129. A 1 1 4/ . 6, ( = 10 / 2)

( ) ( ) B

( ) H ( ) N



130.130.130.130. A 4 .

( ) 1 ( ) 10

( ) 8 ( ) 4

131.131.131.131.

A 2 1 . 4/ . 52,

( ) A

( ) A

( ) H

( ) N

132.132.132.132. A D , h D ,

( )2

5 Dh = ( )

4

5 Dh =

( )4

3 Dh = ( )

4 D

h =

133.133.133.133. A 30sec / m 500. I ,sec / 2 2m

( ) 2sec / 2m ( ) 2sec / 7.2 m

( ) 2sec / 8.1 m ( ) 2sec / 8.9 m

134.134.134.134. l o90 . ,

( ) mg ( ) mg3

( ) mg5 ( ) mg6

135.135.135.135. A 30. A 0.5 2 . I 2 / 10 smg = ,

( ) srad / 5 ( ) srad / 30

( ) srad / 60 ( ) srad / 10

136.136.136.136. A

( ) Rh =

( )3

Rh =

( )2

Rh =

( )3

2 Rh =



137.137.137.137. A .

( )

( )

( ) ( ) A )3 / 1(cos 1−

138.138.138.138. A 3.7 . A 500 4 . I 210 −= msg ,

( ) 4 / ( ) 16 /

( ) 21 / ( ) 2 /

139.139.139.139. , l

( ) gl ( ) gl3 ( ) gl5 ( ) gl7

140.140.140.140. I 5.02)( 3 += t θ , θ t ,

2

( ) 8 / ( ) 12 /

( ) 24 / ( ) 36 /

141.141.141.141. A m , . I o60

. ( ) mg2 ( ) mg

( ) mg3 ( ) mg3

142.142.142.142. I ,

( ) H

( ) L

( ) A

( ) A

143.143.143.143. m

( )r

mv 2

( ) mgr

mv−

2

( ) mgr

mv+

2

( ) mg

144.144.144.144. A 6.4. M

( ) 17.7 / ( ) 10.2 /

( ) 12.4 / ( ) 16.0 /



145.145.145.145. A h . I r ,

( ) 2 / 5 r h < ( ) 2 / 5 r h > ( ) 2 / 5 r h =

( ) 2 / 5 r h ≥ 146.146.146.146. A 2 60 .

( ) sm / 2 ( ) sm / 8.9

( ) 4.43 / ( ) sm / 2 / 1

147.147.147.147. A 600 . I 1200 ,

( ) sec / 10 rad π ( ) sec / 20 rad π

( ) sec / 40 rad π ( ) sec / 60 rad π

148.148.148.148. A 20 . I .

( ) secrad / 5 ( ) secrad / 2

( ) secrad / 5.7 ( ) secrad / 7

149.149.149.149. A , .

( ) I

( ) I ( ) D ( ) D

150.150.150.150. F

( ) ( ) ( ) ( )

151.151.151.151. A . I

( ) r g3 ( ) r g2

( ) r g ( ) 2 / gr

152.152.152.152. A . I 20 , ( = 10 / 2, 5 )

( ) 0.2 / ( ) 2 / ( ) 4 / ( ) 4.5 1

153.153.153.153. A .

( ) ( ) )( 2r ngm π +

( ) )( r ngm π + ( ) }900 / )({ 22 r ngm π +



154.154.154.154. A

( ) 4 ( ) 3 ( ) 2.5 ( ) 2

155.155.155.155. A , , 9 . I , ,

( ) 27 ( ) 9 ( ) 3 ( ) 1

156.156.156.156. 50% 36. H (A

)( ) 18 ( ) 12( ) 36 ( ) 48

157.157.157.157. A . I ,

( ) 6 ( ) 3 ( ) 2 ( )

158.158.158.158. A . 3 .

( ) 30 ( ) 45 ( ) 60 ( ) 90

159.159.159.159. A . 30 60 ( ) 1 2 .

( ) 1 = 2 ( ) 2 > 1 ( ) 1 > 2 ( )

160.160.160.160. A 42. ,

. A , ( ) 14 ( ) 28

( ) 35 ( ) 7

161.161.161.161. = α 3 = β 3.

( ) 22 β α + ( ) 223 β α +t

( ) 2223 β α +t ( ) 222 β α +t

5



162.162.162.162. A R . ?

( ) gRv 2= ( ) gRv =

( ) Rg

v = ( ) Rgv 2=

163.163.163.163. A 0.4 2/ . I 2 , ,

( ) 41.56 ( ) 89.86 ( ) 109.86 ( ) 115.86

164.164.164.164. A 2. '

( ) 1 ( ) 2 ( ) 3 ( ) 4

165.165.165.165. F .

( ) 2v

( ) 2 / v ( ) v ( )

166.166.166.166. 2.5 5 : 3

( ) sm / 98 ( ) sm / 7

( ) sm / 490 ( ) 9.4

167.167.167.167. F ( ) L ( ) E ( ) M ( ) M

168.168.168.168. A . C .

( ) A

( ) A (ar

) ( ) P

( )

169.169.169.169. A 1 1.

( ) 20 ( ) 10

( ) J 54 ( ) ( ) J 1510 −

170.170.170.170. 2210 t t θ θ θ θ ++= .

( ) 1θ ( ) 2θ ( ) 12θ ( ) 22θ

B



171.171.171.171. A . . I

( )

( ) A

( ) K ( ) I

172.172.172.172. A L M .

.

( )2

2ω ML ( ) 2ω ML

( )4

2ω ML ( )2

22ω ML

173.173.173.173. k R s 2ask = a .

( ) Rs

a2

2 ( )2 / 1

2

2

12

+

R

sas

( ) as2 ( )s

Ra

2

2

174.174.174.174. A 10 10/ .A 1.00.

( ) ( ) o30

( )o

45 ( )o

60 175.175.175.175. A m r

ca , 22rt k a c = ,

( ) t r mk 222π ( ) t r mk 22

( )3

524 t r mk ( )

176.176.176.176. A . 2/ π

,

( )

( ) 2

( ) 4

( ) 16

θ



177.177.177.177. A 1 m L3

10=

L . I 4 g 2sec / 10 m ,

( ) sec / 20 m ( ) sec / 310 m

( ) sec / 25 m ( ) sec / 10 m

178.178.178.178. A P . I A 0=t . A , v . A Q

P A 0=t AB ( ) v .F . LPt Qt

P Q B .

( ) QP t t <

( ) QP t t =

( ) QP t t >

( ) A

179.179.179.179. A , .

α . I µ , ,

( )α µ ( )

α

µ

( ) µα

1 ( ) I

180.180.180.180. A . E . . A ,

( ) ( )

( ) ( )

α



181.181.181.181. A . , a

r

( ) ( )

( ) ( )

182.182.182.182. A υ . , ( )

( ) υ υ υ and,

( ) zeroand2,2 υ υ

( ) zeroand2,2 υ υ

( ) υ υ υ 2and2,2

183.183.183.183. A L . A , u .

( ) gLu 22 − ( ) gL2

( ) glu −2 ( ) )(2 2 gLu −

184.184.184.184. . H

( ) B ( )

( ) ( ) ( ) ( ) N

185.185.185.185. F M LK ,, N d . I , K L L, M M ,

N N K ,

( )v

d ( )v

d 2



( )v

d

2 ( )

vd 2

186.186.186.186. )cos()( pt at x = )sin()( pt bt y = )(, aba < p .

( )

( ) )2 /( pt π =

( ) ( ) 0=t )2 /( pt π = a

187.187.187.187. A 5/ . I 10 5/ .

( )

( ) 2 / 2

1 sm

( ) 2 / 2

1sm

( ) 2 / 2

1sm

188.188.188.188. F . I , ,

( ) 1, 2, 3, 4

( ) 2, 3, 4, 1

( ) 3, 4, 1, 2

( ) 4, 3, 2, 1

189.189.189.189. . I

( ) B

( ) A

( ) D

( ) C

190.190.190.190. . (0,2).

( ) (1, 4)

( ) (5, 3)

( ) (3, 4)

( ) (4, 1)

0

1 2 3 4

( )

1

2

3

0 1 2 3 4 5 ( )

A

A B C Dx

y



191.191.191.191. () ( ),

( ) ( )

( ) ( )

192.192.192.192.

( ) ( )

( ) ( )

:

( )

( )

( ) .

( ) .

( ) .

193.193.193.193. A : I , 180 .

: A , .



194.194.194.194. A : , . .

: .

195.195.195.195. A :

: .

196.196.196.196. A : H θ (90 θ ). : H .

197.197.197.197. A : F )4(tan 1− , .

: .

198.198.198.198. A : .

: .

199.199.199.199. A : I , 45 .

: .

200.200.200.200. A : , .

: H .

201.201.201.201. A : , .

: .

202.202.202.202. A : , .

: .

203.203.203.203. A : , 45 135 .

: θ 45 135 , , .

204.204.204.204. A : I ,

: .

205.205.205.205. A : , .

: .

206.206.206.206. A : D , .

: .

207.207.207.207. A : , .

: I , .

208.208.208.208. A : A , .



: B .209.209.209.209. A : I ,

.

: I . 210.210.210.210. A : I , .

: I .211.211.211.211. A : I ,

.

: C . 212.212.212.212. A : I ,

.

: C .

213.213.213.213. A : , .

: F .

214.214.214.214. A : A .

: .215.215.215.215. A : I .

: .

216.216.216.216. A : C ; .

: I .217.217.217.217. A :

. .

: I .

218.218.218.218. A : A . , .

: .

219.219.219.219. A 5 5 / . ?

( ) ( ) 10 / 2 ( ) 10π / 2 ( ) 10/ π / 2

220.220.220.220. A . A . A

. I H. A :

( )2H

gR2π ( )

2RgH2

π

( )Hg2

π ( )Hg2

2 π



221.221.221.221. A 70 30 . 2.5 .

:( ) 6.28 ( ) 3.14 ( ) 1.57 ( ) 15.7

222.222.222.222. A . I = 0 0

( ) / 0 ( ) 0 /( ) / 0 (1 2π ) ( ) / 0 (

2π )

circular motion - objective (1)

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