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In the toggle mechanism shown in fig. the slider D is Constrained To Move A Horizontal Path.

The Crank OA Is Rotating In The Counter-Clockwise Direction At a Speed Of $180 rpm$. Increasing At The Rate Of $50 Rad/S^2$.

The Dimension Of The Various Links Are As Follows: OA=180 mm; CB=240 mm; AB = 360 mm; And BD=540 mm.

enter image description here

For The Given Configuration, Find -

  1. Velocity Of Slider D And Angular Velocity Of BD, and

  2. Acceleration Of Slider D and Angular Acceleration Of BD.


Subject: Kinematics of Machinery

Topic: Velocity Analysis of Mechanism (Mechanism up-to 6 links)

Difficulty: Medium

1 Answer
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Given: $N_{AO}$ = 180 RPM. OR $\omega_{AO}$ = $2\pi \times\frac{120}{60}$ = 18.85 rad/s, OA= 180 mm = 0.18m;

CB = 240 mm =0.24 m, AB= 360 mm =0.36 m, BD = 540 mm =0.54m.

We know that velocity if A with respect to O or velocity of A,

$v_{AO}$ = …

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