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friction Engineering machanics
- 2. Fig. 2.1
- 3.
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- 5. 2.1.1 Engineering Applications of Friction
- 6. € ‚ f W N R P N Force of friction f W G Direction of impending motion
- 7. It is the angle made by the resultant () of the normal reaction () and limiting force of friction ( ) and made with the direction of normal reac- tion. is the resultant of normal reaction and force of friction . = 2 2 is the angle of friction tan = or = tan–1 It is ratio of limiting frictional force and the normal reaction. The coefficient of friction, = = tan = P W N R f P f fm Dynamic friction Impending motion Static fricton
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- 22.
- 24. f N = Motion W cos W sin W Y X N
- 25. € ‚ ‚ €
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- 31. €
- 32. ‚
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- 35. ‚
- 36. ƒ
- 37. „ …†‡†ˆ‰ Š‹
- 38. Œ Œ ŽŠ ŽŠ Œ
- 39. ƒ
- 40.
- 41. 20 N P sin 25° 25° W f N
- 43. ƒ„ †
- 44. ‡ ‡ ‡ ‡ˆ ƒ„ † ‡‡ ‰ ‡ ‰ ‡ €Š‹ ‡ ƒ „ ƒ„‡‰ ‡‡ €Š‹‡
- 45. Œ Ž †
- 46. ‘ ƒ„ …
- 47. ƒ„ †
- 48.
- 49.
- 50.
- 51.
- 52. P f P sin P cos N W
- 53.
- 54.
- 55.
- 57.
- 58. f W Y X N N cos N s i n f W cos W sin W Y X P N
- 59.
- 60.
- 61. f W cos W sin W Y X P sin N P cos P f W cos W sin W Y X P sin N P cos P
- 62.
- 63. W cos W sin W Y X P N f
- 64. €‚ ƒ„ … † „ ‡ €ˆ‰Š € ˆ ˆ ‰ ‹ f W cos W sin W Y X P N f W cos W sin W Y X P N
- 65.
- 66. €€ ‚‚ ƒ „ „ …
- 67. † ‡ †
- 68.
- 69. f W cos W sin W Y P sin N P cos P X
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- 75.
- 76. €
- 77.
- 78. ‚
- 79. ƒ ƒ„…† †„‡ Y X fR fF 0.25 m 0.5 m 0.5 m RR RF W mg = mg cos mg sin
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- 97. €
- 98. ‚ ƒ
- 99. €
- 100.
- 101. ‚
- 103. €‚
- 104. ƒ„…ƒ† ‡ˆ ˆ ‰ Š
- 105. „ ƒ ‹ Š Œ ‡ Ž ‘ ’ “ ‘ ’ ‚
- 107.
- 108. €
- 109.
- 110. ‚ƒ„
- 111. ‚
- 112. …†
- 113. ‚
- 114. ‚
- 115. ‚
- 116. ‚
- 117. ‚
- 118. ‚ … ‚‚
- 119. ‚‡
- 120. ‚ ‚‚ ‚
- 121. …
- 122. ‚‚
- 123. ‚
- 124. ‚
- 125. ˆ ‰Š‹ŒŠ†Ž…‘’ 10 m 20 N 5 m RB fA RA O B A 6 m 8 m
- 126. € ‚ €ƒ l l/2 RB fA RA O fB B A 45° W 1.5W x
- 127.
- 128. € ‚ ‚ € ‚ ‚ ƒ ‚„
- 129. ‚‚‚ ‚„ € ‚ ‚ ƒ …† ƒ … „ ‚„ ƒ …†ƒ …€ ‚ „ „ ‚ ‡ ˆ… ‚
- 130. ‰Š 7 m 3 m RB fA RA O B A 60° 800 N 3 . 5 m 600 N
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- 132.
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- 134.
- 135.
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- 138. €‚ ‚€
- 139. ‚ ƒ
- 140. f1 R1 N1 W R2 N2 f2 R2 cos ( + ) R2 sin ( + ) Y X
- 141. € ‚ ‚€ € ‚ € ƒ„ …
- 142. †€€‡ˆ„
- 143. €‰ Š„ˆŠ €ˆŠ
- 144.
- 145. ‹ ˆ €
- 146. ‚ €
- 147. †€€‡
- 148. €‰ €
- 149. ‹‰
- 150. ‹‰
- 151. €‰‚
- 152. ‹‰ €
- 153. Y X R2 f2 N2 R2 sin ( + ) R2 cos ( + ) P Motion N3 R3 f3
- 155. „
- 156. „ …ƒƒƒ†ƒƒƒ†ƒƒƒ† ƒ ƒ†€ ††ƒ ‡†ˆ€ € ƒ† ƒ ˆƒ†ƒƒ†ƒ† ‡†ƒƒ†ƒƒ† ‰ Š ‡ ƒƒ†ƒ‹ŒŽ ‡ ƒ ‰‹ŒŽ ‘ ƒƒ† ƒ‹Œ’Ž €ƒ†€ ‹ŒŽ Slack side Tight side T2 T1 r1 r2 Driver Follower
- 157. €‚
- 158. ‚
- 159. ‚
- 160. ƒ ‚ ‚ ‚„‚… €‚ † ƒ ‡€ ‡ €‚ ˆ ‚ ‚ ‚ ‰‚ Š ‚ ‡ ‚ ˆ ‚ d T1 T2 r
- 161. 0.9155 N-m Ans. Example 2.14:
- 164. ƒ„
- 166. ‚
- 168. † …
- 172. ‡ˆ ‰„… ‚
- 175. ‡ 25 kW Ans. Example 2.15:
- 177. „‡
- 178. „
- 180. € Œˆ
- 183.
- 184. ‡
- 186. ‡
- 187. ˆ
- 188. ‘ˆ Š ‡
- 189. ‡‡
- 190. ˆ
- 191. 1.054 kN.m Ans. Example 2.17: €
- 193. ‚‚ ‚ Œ Ž „‘‘‘Œ‘‚Œ 1562.2 N Ans. Example 2.18: ‚‚€ „ „ „€€ ’ “€ „€… € ’ ’ “ƒ € ‚” € „’ €€ ‚‚“ †‡ˆ…‡‰ ƒ‚‚‚Š T2 T1 0.5 m
- 196. € €‚ ƒ„ … ƒ„„ ƒ„ † †‡ ‡ ˆ ‰ ‚ R W P p dm
- 197.
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- 199. €
- 200. ‚ƒ
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- 204. ‚ƒ ‚ƒ ‚ƒ ‚ƒ ‚ƒ ‚ƒ „ ‚ƒ „ ‚ƒ „ ‚ƒ „ „ „ „ „
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- 211. €
- 212. ‚ ƒ „ …† ‡ † €ˆ ‰Š ‹ Œ Ž‘Œ’ ‡
- 213. ‹ “
- 214. ‰
- 215. ‰ ‘” •Œ–ŽŽ– –Ž”