1.

Two boys raising a bucket pull it at an angle \theta¸ to each other. If each exerts a force of 20N.and their effective pull is 30N, what is the angle between their arms?

Answer»

let the angle between the lines of action of their equal forces F be 2θ

F = 20 N

resultant force in the vertical direction upwards = 2F cosθ

=> 30 = 2(20) cos θ

=> cosθ = 3/4 or θ = 41.410°

=> 2θ = 41.410° x 2 = 82.819°

Ans: angle b/w their arms = 82.819°



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