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The crank of a slider-crank mechanism rotates counter-clock wise (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
[2019]
  • a)
    –ω2r
  • b)
    2r
  • c)
    ω2r
  • d)
    –2ω2r
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The crank of a slider-crank mechanism rotates counter-clock wise (CCW)...
Exactly analysis means exactdimensions have to be taken. No approximation is allowed. It means velocity diagram and acceleration diagram with exact geometry (dimensions) need to be drawn.

The velocity diagram of the above problem is as follows :

 perpendicular to OP
 in the direction of movement of slider..
Since, p, q are coinciding i.e. no relative motion between p and q

∴ There will be nor adial acc. of link PQ.
Only tangential acc.  will be there.
Also for link OP, α = 0 i.e. no tangential acceleration

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Most Upvoted Answer
The crank of a slider-crank mechanism rotates counter-clock wise (CCW)...
Exactly analysis means exactdimensions have to be taken. No approximation is allowed. It means velocity diagram and acceleration diagram with exact geometry (dimensions) need to be drawn.

The velocity diagram of the above problem is as follows :

 perpendicular to OP
 in the direction of movement of slider..
Since, p, q are coinciding i.e. no relative motion between p and q

∴ There will be nor adial acc. of link PQ.
Only tangential acc.  will be there.
Also for link OP, α = 0 i.e. no tangential acceleration

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The crank of a slider-crank mechanism rotates counter-clock wise (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[2019]a)–ω2rb)2ω2rc)ω2rd)–2ω2rCorrect answer is option 'C'. Can you explain this answer?
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