![The crank of a slider-crank mechanism rotates counter-clockwise (CCW) with a constant angular velocity ๐](https://www.gkseries.com/blog/wp-content/uploads/2023/09/The-crank-of-a-slider-crank-mechanism-rotates-counter-clockwise-CCW-with-a-constant-angular-velocity-๐.jpg)
Q. The crank of a slider-crank mechanism rotates counter-clockwise (CCW) with a constant angular velocity ๐, as shown. Assume the length of the crank to be r.
![](https://www.gkseries.com/blog/wp-content/uploads/2023/09/Screenshot-718.png)
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) โ๐2๐ | (B) 2๐2๐ | (C) ๐2๐ | (D) โ2๐2๐ |
Ans: ฯ2r
Sol:
![](https://www.gkseries.com/blog/wp-content/uploads/2023/09/Screenshot-719.png)
VBA=0
โฯBA=0
Acceleration of BA =0
![](https://www.gkseries.com/blog/wp-content/uploads/2023/09/Screenshot-720.png)
tan45o=aB/rฯ2
โย aB=rฯ2