(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 0, = 30° , find the value of 02 such that the force in the rope Q is minimum. What is the %3D minimum force Q ? 300 02 40°

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(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 01 = 30° , find the value of 02 such that the force in the rope Q is minimum. What is the
minimum force Q ?
30°
R
02
40°
Figure 1
Transcribed Image Text:(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 01 = 30° , find the value of 02 such that the force in the rope Q is minimum. What is the minimum force Q ? 30° R 02 40° Figure 1
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