 | 480 σελίδες
...CB, the shortest time is given by t = Polygon law of Vector: Addition: "If a number of vectors are represented in Magnitude and direction by the sides of a polygon. taken in order, then the resultant is represented in magnitude and direction by the closing side of the polygon taken in... | |
 | Sidney Luxton Loney - 1953 - 346 σελίδες
...120° ~ sin 150°' "" ' J3 1 ' 2 ~ /. § = 15^/3=25-98... lbs. wt., and .8 = 15 lbs. wt. 34. Polygon of Forces. If any number of forces, acting on a particle,...direction, by the sides of a polygon, taken in order, the forces shall be in equilibrium. Let the sides AB, BC, CD, DE, EF, and FA of the polygon ABCDEF... | |
 | 274 σελίδες
...forces. This leads us to state the theorem usually called "The Polygon of Forces." B Fig. 44 If a system of forces acting on a particle be represented in magnitude and direction by the sides of a closed polygon taken in order the forces are in equilibrium. Important special cases of this theorem... | |
 | James L. Meriam - 1975 - 376 σελίδες
...their joint action. This is the proposition known as the ' P°lygon OI. forces ' ; viz. if a system of forces acting on a particle be represented in magnitude and direction by the sides of a closed polygon taken in order, they are in equilibrium. The simplest case is that of two equal and... | |
 | 650 σελίδες
..._OM_ NO '"" sinQOR~ sin'ROP~ sinPOQ' P _Q R sin QOR ~ sin ROP sin Y'Otf ' 41. Polygon of Forces. .//~ any number of forces, acting on a particle, be represented, in magnitude and direction, by tlie sides of a polygon, taken in order, the forces shall be in equilibrium. E // [R /a Let the sides... | |
 | Great Britain. Parliament. House of Commons - 1863 - 616 σελίδες
...it is also true as to its magnitude. 2. If any number of forces in the same plane acting on a point be represented in magnitude and direction by the sides of a polygon taken in order, they will be in equilibrium. 3. Four forces in the same plane, and represented by the numbers 10, 20,... | |
 | Great Britain. Parliament. House of Commons - 1871 - 902 σελίδες
...MATHEMATICS. PROFESSOR HJS SMITH. Tuesday, 4th April. 10 A.sr. to 1 PM 1. Forces acting on a particle are represented in magnitude and direction by the sides of a polygon taken in order. Show that they are in equilibrium. 2. Three weights are placed at the three vertices of a given triangle,... | |
 | S. S. Bhavikatti - 2007 - 14 σελίδες
...forces and it may be stated as 'If a number of concurrent forces acting simultaneously on a body are represented in magnitude and direction by the sides of a polygon, taken in a order, then the resultant is represented in magnitude and direction by the closing side of the polygon,... | |
 | American Society for the Extension of University Teaching - 1815 - 842 σελίδες
...their resultant is equal to their difference, and acts in the direction of the greater force. " If two forces acting on a particle be represented in magnitude and direction by straight lines drawn from a point, and a parallelogram be constructed having these straight lines as... | |
 | 1894 - 1230 σελίδες
...The enunciation of the parallelogram of forces is embodied in the following proposition :— " If two forces, acting on a particle, be represented in magnitude and direction by straight lines drawn from the particle, and a parallelogram be constructed having these straight lines... | |
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If any number of forces, acting on a particle, be represented, in magnitude and direction, by the sides of a polygon, taken in order, the forces shall be in equilibrium. 
