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Body force

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25: 755: 626: 395: 504: 614: 750:{\displaystyle \mathbf {F} _{\mathrm {body} }=\int \limits _{V}\rho (\mathbf {r} )\mathbf {g} \mathrm {d} V=\int \limits _{V}\rho (\mathbf {r} )\mathrm {d} V\cdot \mathbf {g} =m\mathbf {g} } 319: 443: 217:
A body force is distinct from a contact force in that the force does not require contact for transmission. Thus, common forces associated with
572: 108: 46: 89: 405: 294: 61: 42: 285:(or transverse force), which occurs in a rotating reference frame when the rate of rotation of the frame is changing 68: 35: 75: 434: 428: 390:{\displaystyle \mathbf {F} _{\mathrm {body} }=\int \limits _{V}\mathbf {f} (\mathbf {r} )\mathrm {d} V\,,} 290: 57: 773: 183: 551: 298: 818: 433:
Like any other force, a body force will cause an object to accelerate. For a non-rigid object,
788: 270: 218: 158: 154: 778: 263: 313:(throughout a volume of interest) of it gives the total force acting throughout the body; 310: 166: 138: 499:{\displaystyle \mathbf {f} (\mathbf {r} )=\rho (\mathbf {r} )\mathbf {a} (\mathbf {r} )} 229:
heat transmission are not body forces as they require contact between systems to exist.
82: 836: 408: 276: 252: 246: 134: 190:, . However, it is often convenient to talk about a body force in terms of either the 830: 798: 783: 256: 211: 149: 143: 793: 535: 519: 289:
However, fictitious forces are not actually forces. Rather they are corrections to
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acting on currents within an object, such as the braking force that results from
282: 162: 24: 266:(or inertial forces) can be viewed as body forces. Common inertial forces are, 226: 222: 230: 233:
heat transfer, on the other hand, is a perfect example of a body force.
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is a force that acts throughout the volume of a body. Forces due to
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A body force is simply a type of force, and so it has the same
609:{\displaystyle g=9.81{\frac {\mathrm {m} }{\mathrm {s} ^{2}}}} 18: 141:
are examples of body forces. Body forces contrast with
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Unsourced material may be challenged and removed. 749: 608: 498: 389: 249:acting on an object charged throughout its volume, 16:Force which acts throughout the volume of a body 153:which are exerted to the surface of an object. 309:The body force density is defined so that the 236:More examples of common body forces include; 8: 742: 731: 720: 712: 700: 685: 680: 672: 660: 637: 636: 631: 628: 598: 593: 587: 585: 574: 488: 480: 472: 455: 447: 445: 383: 375: 367: 359: 353: 330: 329: 324: 321: 210:is of interest, it is referred to as the 109:Learn how and when to remove this message 817:Springer site - Book 'Solid mechanics'. 810: 437:applied to a small volume element is 7: 47:adding citations to reliable sources 169:are other examples of body forces. 721: 686: 647: 644: 641: 638: 594: 588: 376: 340: 337: 334: 331: 14: 417:external body force density field 819:preview paragraph 'Body forces'. 743: 732: 713: 681: 673: 632: 489: 481: 473: 456: 448: 368: 360: 325: 23: 34:needs additional citations for 717: 709: 677: 669: 566:) and uniform. Near the Earth 493: 485: 477: 469: 460: 452: 372: 364: 1: 550:In the case of a body in the 295:accelerating reference frame 293:when it is formulated in an 853: 426: 764:is the mass of the body. 526:the force density, and 214:throughout the system. 751: 610: 562:) is nearly constant ( 500: 419:acting on the system. 391: 198:or the force per unit 752: 611: 554:on a planet surface, 501: 392: 774:Action at a distance 627: 620:In this case simply 573: 444: 320: 43:improve this article 552:gravitational field 546:The case of gravity 435:Newton's second law 429:Newton's second law 291:Newton's second law 747: 705: 665: 606: 522:of the substance, 496: 387: 358: 299:General Relativity 219:pressure gradients 789:Non-contact force 696: 656: 604: 349: 271:Centrifugal force 264:Fictitious forces 159:centrifugal force 155:Fictitious forces 119: 118: 111: 93: 844: 821: 815: 779:Fictitious force 756: 754: 753: 748: 746: 735: 724: 716: 704: 689: 684: 676: 664: 652: 651: 650: 635: 615: 613: 612: 607: 605: 603: 602: 597: 591: 586: 505: 503: 502: 497: 492: 484: 476: 459: 451: 396: 394: 393: 388: 379: 371: 363: 357: 345: 344: 343: 328: 114: 107: 103: 100: 94: 92: 51: 27: 19: 852: 851: 847: 846: 845: 843: 842: 841: 827: 826: 825: 824: 816: 812: 807: 770: 630: 625: 624: 592: 571: 570: 548: 538:, all at point 442: 441: 431: 425: 323: 318: 317: 311:volume integral 307: 253:Magnetic forces 247:Electric forces 180: 175: 167:Coriolis effect 139:magnetic fields 135:electric fields 115: 104: 98: 95: 52: 50: 40: 28: 17: 12: 11: 5: 850: 848: 840: 839: 829: 828: 823: 822: 809: 808: 806: 803: 802: 801: 796: 791: 786: 781: 776: 769: 766: 758: 757: 745: 741: 738: 734: 730: 727: 723: 719: 715: 711: 708: 703: 699: 695: 692: 688: 683: 679: 675: 671: 668: 663: 659: 655: 649: 646: 643: 640: 634: 618: 617: 601: 596: 590: 584: 581: 578: 547: 544: 508: 507: 495: 491: 487: 483: 479: 475: 471: 468: 465: 462: 458: 454: 450: 427:Main article: 424: 421: 409:volume element 398: 397: 386: 382: 378: 374: 370: 366: 362: 356: 352: 348: 342: 339: 336: 333: 327: 306: 303: 287: 286: 280: 277:Coriolis force 274: 261: 260: 250: 244: 179: 176: 174: 171: 150:surface forces 144:contact forces 117: 116: 31: 29: 22: 15: 13: 10: 9: 6: 4: 3: 2: 849: 838: 835: 834: 832: 820: 814: 811: 804: 800: 799:Surface force 797: 795: 792: 790: 787: 785: 784:Force density 782: 780: 777: 775: 772: 771: 767: 765: 763: 739: 736: 728: 725: 706: 701: 697: 693: 690: 666: 661: 657: 653: 623: 622: 621: 599: 582: 579: 576: 569: 568: 567: 565: 561: 557: 553: 545: 543: 541: 537: 533: 529: 525: 521: 517: 513: 466: 463: 440: 439: 438: 436: 430: 422: 420: 418: 414: 410: 407: 406:infinitesimal 403: 384: 380: 354: 350: 346: 316: 315: 314: 312: 304: 302: 300: 296: 292: 284: 281: 278: 275: 272: 269: 268: 267: 265: 258: 257:eddy currents 254: 251: 248: 245: 242: 239: 238: 237: 234: 232: 228: 224: 220: 215: 213: 212:force density 209: 205: 201: 197: 193: 189: 185: 177: 172: 170: 168: 164: 160: 156: 152: 151: 146: 145: 140: 136: 132: 128: 124: 113: 110: 102: 91: 88: 84: 81: 77: 74: 70: 67: 63: 60: –  59: 55: 54:Find sources: 48: 44: 38: 37: 32:This article 30: 26: 21: 20: 813: 794:Normal force 761: 759: 619: 563: 559: 555: 549: 539: 536:acceleration 531: 527: 523: 520:mass density 515: 511: 509: 432: 423:Acceleration 416: 412: 401: 399: 308: 305:Quantitative 288: 262: 235: 216: 181: 157:such as the 148: 142: 126: 120: 105: 96: 86: 79: 72: 65: 58:"Body force" 53: 41:Please help 36:verification 33: 283:Euler force 178:Qualitative 163:Euler force 805:References 227:convective 223:conductive 184:dimensions 173:Definition 165:, and the 127:body force 99:March 2007 69:newspapers 729:⋅ 707:ρ 698:∫ 667:ρ 658:∫ 518:) is the 467:ρ 351:∫ 231:Radiation 206:per unit 202:. If the 194:per unit 831:Category 768:See also 415:is the 400:where d 241:Gravity 131:gravity 123:physics 83:scholar 760:where 510:where 411:, and 404:is an 208:volume 196:volume 85:  78:  71:  64:  56:  837:Force 534:) is 204:force 192:force 188:force 90:JSTOR 76:books 583:9.81 225:and 221:and 200:mass 137:and 125:, a 62:news 301:.) 186:as 147:or 121:In 45:by 833:: 542:. 161:, 133:, 762:m 744:g 740:m 737:= 733:g 726:V 722:d 718:) 714:r 710:( 702:V 694:= 691:V 687:d 682:g 678:) 674:r 670:( 662:V 654:= 648:y 645:d 642:o 639:b 633:F 616:. 600:2 595:s 589:m 580:= 577:g 564:g 560:r 558:( 556:a 540:r 532:r 530:( 528:a 524:ƒ 516:r 514:( 512:ρ 506:, 494:) 490:r 486:( 482:a 478:) 474:r 470:( 464:= 461:) 457:r 453:( 449:f 413:f 402:V 385:, 381:V 377:d 373:) 369:r 365:( 361:f 355:V 347:= 341:y 338:d 335:o 332:b 326:F 279:, 273:, 259:, 243:, 112:) 106:( 101:) 97:( 87:· 80:· 73:· 66:· 39:.

Index


verification
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"Body force"
news
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scholar
JSTOR
Learn how and when to remove this message
physics
gravity
electric fields
magnetic fields
contact forces
surface forces
Fictitious forces
centrifugal force
Euler force
Coriolis effect
dimensions
force
force
volume
mass
force
volume
force density
pressure gradients

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