+1 vote
in Machine Dynamics by (34.3k points)
At which of the following angles in degrees does the swaying couple attains a maximum value?

(a) 135

(b) 45

(c) 90

(d) 60

I had been asked this question in a dream while sleeping

Question is from Swaying Couple in section Balancing of Reciprocating Masses of Machine Dynamics

1 Answer

0 votes
by (38.6k points)
The correct choice is (b) 45

To elaborate: The swaying couple is maximum or minimum when (cosθ + sin θ) is maximum or minimum. This results in a relation tanθ=1

hence theta = 45 degrees or 225 degrees.

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