Asked by vinayak bhagwat
Two forces 3kg & 5kg weight act at point making an angle 60° with each other find the magnitude & direction of the resultant
Answers
Answered by
Damon
3 kg weighs 3*9.8 = 29.4 Newtons
5 kg weighs 5*9.8 = 49 Newtons
say the 49 N force is in the x axis direction
tthe 29.4 N force is 60 degrees toward the Y axis
Sum of x forces= 49+29.4cos 60 = 63.7 N
Sum of y forces = 29.4 sin 60 = 25.5 N
magnitude = sqrt(25.5^2 + 63.7^2)
= 68.6 N or weight of mass of 7 kg on earth
direction = tan^-1(25.5/63.7) = 21.8 degrees
5 kg weighs 5*9.8 = 49 Newtons
say the 49 N force is in the x axis direction
tthe 29.4 N force is 60 degrees toward the Y axis
Sum of x forces= 49+29.4cos 60 = 63.7 N
Sum of y forces = 29.4 sin 60 = 25.5 N
magnitude = sqrt(25.5^2 + 63.7^2)
= 68.6 N or weight of mass of 7 kg on earth
direction = tan^-1(25.5/63.7) = 21.8 degrees
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