Question

A vertical flagpole of height 24 m is held in position by three straight wires fixed to its top and to points on the horizontal ground. The wires are of lengths 25 m, 30 m and 26 m and their fixing points are at bearings 060°, 150° and 270° respectively from the base of the pole. If the tensions in the wires are each 50 N, find the
(a) vertical components of the tensions, (b) horizontal components of the tensions.
(c) Hence,
(i) find the resultant force downwards caused by the wires,
(ii) the resultant horizontal force on the flagpole.

Ans: (a) 48, 40, 46.2

(c) (i) 134.2 N

(b) 14, 30, 19.2

(ii) 20.6 N, 157.4°
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Answer 1

Answer:

According to Euclid's Division Lemma if we have two positive integers a and b, then there exist unique integers q and r which satisfies the condition a = bq + r where 0 ≤ r ≤ b. If a is of the form 2q, then a is an even integer. ... Therefore, any positive odd integer is of form 2q + 1.