The document describes a toggle mechanism with a rotating crank and sliding piece. It provides the dimensions of the links and states that the crank is rotating counterclockwise at 180 rpm, accelerating at 50 rad/s^2. It asks to find the velocity and acceleration of the sliding piece and angular velocity and acceleration of one of the links based on the given configuration and rates of change of the crank.
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Unit 2.6 example 4 velocity and acceleration
2. Iexample 4: n the toggle mechanism shown in Fig., the slider D is constrained
to move on a horizontal path. The crank OA is rotating in the counter-
clockwise direction at a Speed of 180 r.p.m. increasing at the rate of 50 rad/s2
. The dimensions of the various links are as follows: OA = 180 mm ; CB = 240
mm ; AB = 360 mm ; and BD = 540 mm. 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.
3. 1. Velocity of slider D and angular velocity of BD
First of all, draw the space diagram to some suitable scale, as shown in
Fig. (a).
Now the velocity diagram, as shown in Fig.(b), is drawn as discussed
below:
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