Question

1. Two forces act on an object: i) 50 N at 45˚ north of east and ii) 25 N at 30˚ south of east. Which of the following is the resultant and its angle relative to the easterly direction?

2. Find the resultant of two vectors: i) 50 units due east and ii) 100 units 30˚ north of west.

Answer 1

Sol(41 Given at us Nonth o east f, 5o N 25N at 30 ouh ol eaut fL N FOr ce in the dine ch'oh ol east cose f shc 30 So cOs 45 + 25 ces 30 11 Fonce in the no dinectin -F, sine FN F,sino, 25 sin 300. S0 Sin u5 22. 86 N FN Resultant f- NF 57.01)(22.06) 1 61.42 N. Dinection relative to eatterly dinech'on tan 22-8 6 FN FE tan & S7.01 21.00 41

due east A 50 30 herth o wet in the dine chion o wet 30 E A cos 17 (oux Cos 30 So 36 6 1-1 in the dine cron of Not N R wN 50 100 Sin 20 1 Resultant 36.6+502 61.96. -1