The resultant of the following three couples 20 kg force, 0.5 m arm, +ve sense 30 kg force, 1 m arm, -ve sense 40 kg force, 0.25 m arm, +ve sense having arm of 0.5 m will be
A. 20 kg, -ve sense
B. 20 kg, +ve sense
C. 10 kg, +ve sense
D. 10 kg, -ve sense
Answer: Option A
(20*0.5)-(30*1)+(40*0.25)=(R*0.5)
R=-20
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(20*0.5)-(30*1)+(40*0.25)=(R*0.5)
R=-20
(30*1)+(R*0.5)-(40*0.25)=(20*0.5)
=>R= -20 Ans.
(20x0.5) + (40x0.25) + (R x 0.5) = (30x1)
R = 20. Hence Resultant 20 Kg +ve sense.
It should be 20 kg +ve sense
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