Question

The crank of a slider-crank mechanism rotates counterclockwise (CCW) with a constant angular velocity $\omega$ 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, given by

• A. ${\omega }^{2}r$
• B. $2{\omega }^{2}r$
• C. $-2{\omega }^{2}r$
• D. $-{\omega }^{2}r$

Answer 1

The correct option is A ${\omega }^{2}r$



$V_{BA}=0$
$\Rightarrow {\omega }_{BA}=0$
Acceleration of BA =0

$tan{45}^o=\frac{a_B}{r{\omega }^2}$

$\Rightarrow$ $a_B=r{\omega }^2$