(ii) Given that the forces (3i + 6j) N, (i – 4j) N and (-9i + j) N act through the points, (2i + 2j) m, (3i - j) m, (-i - j) m and (-3i + 4j) m respectively, show that this system of forces reduces to a couple and find magnitude of the couple. (Take g as 10ms.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Answer detailly 4(ii)

(i) A particle P of mass 6 kg is attached to the ends of two light inextensible strings PA and PB, where
PA = 3m. The ends A and B of the strings are attached to two fixed points on a vertical pole, with B
5m vertically below A. The particle moves in a horizontal circle with constant
angular speed, w, with both strings taut . The tension in the string PA is 120 N.
(a) Show that w?:
(b) Calculate the kinetic energy of P.
175
%3D
24
(ii) Given that the forces (3i + 6j) N, (i – 4j) N and (-9i + j) N act through the points, (2i + 2j) m,
(3i - j) m, (-i - j) m and (-3i + 4j) m respectively, show that this system of forces reduces to a
couple and find magnitude of the couple.
(Take g as 10ms.)
Transcribed Image Text:(i) A particle P of mass 6 kg is attached to the ends of two light inextensible strings PA and PB, where PA = 3m. The ends A and B of the strings are attached to two fixed points on a vertical pole, with B 5m vertically below A. The particle moves in a horizontal circle with constant angular speed, w, with both strings taut . The tension in the string PA is 120 N. (a) Show that w?: (b) Calculate the kinetic energy of P. 175 %3D 24 (ii) Given that the forces (3i + 6j) N, (i – 4j) N and (-9i + j) N act through the points, (2i + 2j) m, (3i - j) m, (-i - j) m and (-3i + 4j) m respectively, show that this system of forces reduces to a couple and find magnitude of the couple. (Take g as 10ms.)
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