 | University of Cambridge - 1841 - 546 pages
...inclinations to the horizon are a and a, and the coefficients of friction tan X and tan \' ; shew that if 6 be the limiting value of the angle of inclination of the beam to the horizon at which it will rest, W its weight, and R, R' the pressures upon the planes, 2 tan 6 = cot (a + V) - cot (a - X), R R' __... | |
 | John Adams Coombe - 1841 - 220 pages
...inclinations to the horizon are a and a, and the coefficients of friction tan X and tan X'; shew that if 0 be the limiting value of the angle of inclination of the beam to the horizon at which it will rest, W its weight, and R, R' the pressures upon the planes, 2 tan 0 = cot (a + X') - cot (a - X) and R R'... | |
 | William Walton - Mechanics - 1842 - 488 pages
...which the inclinations to the horizon are a and a, and the coefficients of friction tan X and tan X' ; to find the limiting value of the angle of inclination...relation between the weight of the beam and each of the two perpendicular pressures upon the planes. Let 0 be the required limiting angle ; R, R, the pressures... | |
 | Isaac Todhunter - Statics - 1853 - 362 pages
...inclinations to the horizon are a and a', and the coefficients of friction tanX and tanX'; shew that if 0 be the limiting value of the angle of inclination of the beam to the horizon at which it will rest, W its weight, and R, R the pressures upon the planes 2 tan0 = cot(a' + X') - cot(aX), cosX sin(a'+... | |
 | Stephen Parkinson - Dynamics - 1863 - 396 pages
...to the horizon are a and a,, and the coefficients of friction tan X and tan X' ; shew that if 0 be the limiting value of the angle of inclination of the beam to the horizon at which it will rest, W its weight, and R, R' the pressures upon the planes, 2 tan 0 = cot (a' + V) - cot (a - X), E R' W... | |
 | Isaac Todhunter - Statics - 1866 - 386 pages
...inclinations to the horizon are a and a, and the coefficients of friction tan X and tan V ; shew that if 0 be the limiting value of the angle of inclination of the beam to the horizon at which it will rest, W its weight, and R, R' the pressures upon the. planes 2 tan 0 = cot (a + X') - cot (a - X), RR = W... | |
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V ; shew that if 0 be the limiting value of the angle of inclination of the beam to the horizon at which it will rest, W its weight, and R, R 