The crank of a slider-crank mechanism rotates counter-clockwise (CCW) with a constant angular velocity 𝜔

Q. The crank of a slider-crank mechanism rotates counter-clockwise (CCW) with a constant angular velocity 𝜔, 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

Ans: ω²r

Sol:

VBA=0
⇒ωBA=0
Acceleration of BA =0

tan45^o=aB/rω²

⇒ a_B=rω²