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sadaf2605
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University Physics(12th ed) said:Thirty vectors, each of magnitude 2N, are represented by the sides of a regular polygon taken in order. Determine their resultants.
equation, square of resultant, R2 = Rx2 + Ry2
interior angle of a polygon = (n-2)* 180°/n
= (30 - 2)* 180°/30
= 168°
components on X axis:
Ax1 = 20* cos 168°
Ax2 = 20* cos (168°+168°)
. . . .
Ax30 = 20* cos (168° * 30)
Rx = Ax1 + Ax2 + . . . +Ax30
components on Y axis:
Ay1 = 20* sin 168°
Ay2 = 20* sin (168°+168°)
. . . .
Ay30 = 20* sin (168° * 30)
Ry = Ay1 + Ay2 + . . . +Ay30
thn,
R2 = Rx2 + Ry2
i think we can solve this kind of problem this way, but this process is so lengthy so i am expecting some alternative easy and short way to solve such problems, anyone to help?