Knowledge

Mass distribution

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333: 215: 318: 110:. This allows point masses, line masses, surface masses, as well as masses given by a volume density function. Alternatively the latter can be generalized to a 374: 263:
solids are affected considerably by the mass distribution, either if they are homogeneous or inhomogeneous - see
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mass distribution has decisive influence on the development e.g. of
260: 95: 296: 249: 245: 27: 264: 79: 71: 51: 55: 43: 75: 39: 47: 332: 182: 118:. A surface mass on a surface given by the equation 209: 90:and influences its dynamical behaviour - e.g. the 385: 114:. For example, a point mass is represented by a 16:Spatial distribution of mass within a solid body 228:, by numerical methods (e.g. a great number of 58:their mass distribution is almost homogeneous. 368: 137:may be represented by a density distribution 116:delta function defined in 3-dimensional space 46:body. In principle, it is relevant also for 375: 361: 101: 106:A mass distribution can be modeled as a 386: 327: 210:{\textstyle g/\left|\nabla f\right|} 13: 255: 196: 14: 425: 312: 331: 38:is the spatial distribution of 319:Mass distribution of the Earth 307:Mass concentration (astronomy) 1: 82:. The mass distribution of a 347:. You can help Knowledge by 61: 7: 285: 217:is the mass per unit area. 10: 430: 326: 239: 18: 343:-related article is a 222:mathematical modelling 211: 102:Mathematical modelling 232:), or by theoretical 212: 248:the aspects of rock 180: 19:For other uses, see 399:Celestial mechanics 21:Weight distribution 207: 356: 355: 269:moment of inertia 88:center of gravity 36:mass distribution 421: 414:Geophysics stubs 377: 370: 363: 335: 328: 226:potential theory 216: 214: 213: 208: 206: 202: 190: 175: 136: 429: 428: 424: 423: 422: 420: 419: 418: 384: 383: 382: 381: 324: 315: 288: 258: 256:Rotating solids 242: 224:can be done by 195: 191: 186: 181: 178: 177: 138: 119: 104: 64: 24: 17: 12: 11: 5: 427: 417: 416: 411: 406: 401: 396: 380: 379: 372: 365: 357: 354: 353: 336: 322: 321: 314: 313:External links 311: 310: 309: 304: 299: 294: 287: 284: 257: 254: 252:are involved. 241: 238: 205: 201: 198: 194: 189: 185: 103: 100: 63: 60: 15: 9: 6: 4: 3: 2: 426: 415: 412: 410: 407: 405: 402: 400: 397: 395: 392: 391: 389: 378: 373: 371: 366: 364: 359: 358: 352: 350: 346: 342: 337: 334: 330: 329: 325: 320: 317: 316: 308: 305: 303: 302:Mass function 300: 298: 295: 293: 292:Bouguer plate 290: 289: 283: 282: 278: 274: 270: 266: 262: 253: 251: 247: 237: 235: 231: 227: 223: 218: 203: 199: 192: 187: 183: 173: 169: 165: 161: 157: 153: 149: 145: 141: 134: 130: 126: 122: 117: 113: 109: 99: 97: 94:and eventual 93: 89: 85: 81: 77: 73: 69: 59: 57: 53: 49: 45: 41: 37: 33: 29: 22: 349:expanding it 338: 323: 259: 243: 219: 171: 167: 163: 159: 155: 151: 147: 143: 139: 132: 128: 124: 120: 112:distribution 105: 92:oscillations 86:defines its 83: 65: 35: 25: 234:equilibrium 230:mass points 404:Geophysics 388:Categories 341:geophysics 281:stability. 394:Mechanics 277:imbalance 236:figures. 197:∇ 68:astronomy 62:Astronomy 54:, but on 42:within a 32:mechanics 286:See also 261:Rotating 176:, where 162: ( 123: ( 96:rotation 297:Gravity 250:density 246:geology 240:Geology 108:measure 80:planets 72:nebulae 52:liquids 28:physics 273:wobble 265:Torque 339:This 135:) = 0 84:solid 76:stars 56:Earth 48:gases 44:solid 409:Mass 345:stub 279:and 220:The 78:and 40:mass 30:and 244:In 66:In 50:or 26:In 390:: 275:, 271:, 267:, 174:)) 170:, 166:, 154:) 150:, 146:, 131:, 127:, 98:. 74:, 34:, 376:e 369:t 362:v 351:. 204:| 200:f 193:| 188:/ 184:g 172:z 168:y 164:x 160:f 158:( 156:δ 152:z 148:y 144:x 142:( 140:g 133:z 129:y 125:x 121:f 23:.

Index

Weight distribution
physics
mechanics
mass
solid
gases
liquids
Earth
astronomy
nebulae
stars
planets
center of gravity
oscillations
rotation
measure
distribution
delta function defined in 3-dimensional space
mathematical modelling
potential theory
mass points
equilibrium
geology
density
Rotating
Torque
moment of inertia
wobble
imbalance
stability.

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