. A text book of elementary mechanics, for the use of colleges and schools. Fig. 164. PULLEY. 231 the same upward at e; also, on D it is 8P, and thesame upward at d. That is, the weight is supported bythe four forces; viz., P + 2P + 2aP + 23P = W = 15P = (24 - 1)P, or, in general, W = (2* - i)P. The tension on the beam is equal to TT + P, or 24P. 224. The following are other forms of pulleys, forwhich the relations of P to PFcan be established in thesame manner as for those already explained. In Fig. 165, W = 4P. In Fig. 166, W = 5P cos a(the tendency of the horizontal component


. A text book of elementary mechanics, for the use of colleges and schools. Fig. 164. PULLEY. 231 the same upward at e; also, on D it is 8P, and thesame upward at d. That is, the weight is supported bythe four forces; viz., P + 2P + 2aP + 23P = W = 15P = (24 - 1)P, or, in general, W = (2* - i)P. The tension on the beam is equal to TT + P, or 24P. 224. The following are other forms of pulleys, forwhich the relations of P to PFcan be established in thesame manner as for those already explained. In Fig. 165, W = 4P. In Fig. 166, W = 5P cos a(the tendency of the horizontal component of P is also tobe noted). In Fig. 167, W = 81P = 3* Fig. 166. Fig. 167. 225. The Pulley on the Principle of Work. 1. SingleFixed Pulley. Here (Fig. 168) the power and weightact through equal distances; that is, s = % and there-fore W = P. 2. tfm^rfe Movable Pulley with Parallel Strings. In 232 STATICS. [175. this case (Figs. 169, 170) the distance through which Pacts is twice the height through which the weight rises, .\ s = 2h, and W = 2P, or P = $ W.


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Keywords: ., bookcentury1800, bookdecade1880, booksubjectmechanics, bookyear18