The crank of a slider-crank mechanism rotates counter-clockwise (CCW) with a constant angular velocity ๐œ”

Q. The crank of a slider-crank mechanism rotates counter-clockwise (CCW) with a constant angular velocity ๐œ”, as shown. Assume the length of the crank to be r.

Using exact analysis, the acceleration of the slider in the y-direction, at the instant shown, where the crank is parallel to x-axis, is given by

(A) โˆ’๐œ”2๐‘Ÿ  (B) 2๐œ”2๐‘Ÿ(C) ๐œ”2๐‘Ÿ  (D) โˆ’2๐œ”2๐‘Ÿ

Ans: ฯ‰2r

Sol:

VBA=0
โ‡’ฯ‰BA=0
Acceleration of BA =0

tan45o=aB/rฯ‰2

โ‡’ย aB=rฯ‰2

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