Question

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

Options :

  1. ω²r

  2. ²r

  3. ω²r

  4. -2ω²r

Show Answer

Answer :

ω²r

Solution :

Velocity of point A,

VA = r × ω

The radial acceleration of point A, aoa: = rω². 

Since, the inclination of line AB is 45 degree, the acceleration of the point B will be equal to the acceleration of point A. i.e. rω²

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