(i) To move a boat uniformly along the river at a given speed, a resultant force R = 520 N is required. Two men pull with force P and Q, by means of ropes to do this. The ropes make an angle of 30° and 40° respectively with the sides of the river as shown in Fig. 1. (i) Determine the force P and Q, (ii) If Ø1 = 30° , find the value of 02 such that the force in the rope Q is minimum. What is the minimum force Q? 300 R 02 40° O

(i) To move a boat uniformly along the river at a given speed, a resultant force R = 520 N is required. Two men pull with force P and Q, by means of ropes to do this. The ropes make an angle of 30° and 40° respectively with the sides of the river as shown in Fig. 1. (i) Determine the force P and Q, (ii) If Ø1 = 30° , find the value of 02 such that the force in the rope Q is minimum. What is the minimum force Q? 300 R 02 40° O

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

(1) To move a boat uniformly along the river at a given speed, a resultant force R = 520 N is
required. Two men pull with force P and Q, by means of ropes to do this. The ropes make an
angle of 30° and 40° respectively with the sides of the river as shown in Fig. 1.
(i) Determine the force P and Q,
(ii) If 01 = 30° , find the value of 62 such that the force in the rope Q is minimum. What is the
minimum force Q ?
300
R
02
40°
Figure 1

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