The figure shows a "Double Slide" mechanism with its dimensions, with the angle between the

slides beina $120$ degrees. Describing the mechanism with the vector loop seen on the side

Write the vector equation and the $x$ and $y$ components of this equation. Then, using these equations,

calculate the distance OA$,$ that is$,$ the length of vector $A,$ when the length is $5cm.$ Calculate the

distance $OB,$ that is$,$ the length of vector $B,$ and the angle of the connecting rod element.

Then, draw the mechanism in the given position and check the values you found with measurements.

$2$ The sliding element at $A$ of the mechanism given in Question $1$ above is driven to the right by a hydraulic

piston at a constant speed of $8c\frac{m}{sec}.$ By taking the derivatives of the components of the position

vectors of the mechanism with respect to time, calculate the speed of the sliding element at $B$ and the

angular velocity of the connecting rod element at the given position, that is$,$ when the distance $\frac{?}{\text{b}\text{a}\text{r}}(OA)$ is $5cm\frac{.}{b}ar(w)=V.r$

$3$ Calculate the speed and acceleration of the sliding element at point B of the mechanism whose

kinematic state is explained in Question $2$ above, by drawing vector polygons.

The mechanism given in Question $1$ above is connected to the sliding element in

A and is driven by a hydraulic cylinder in a horizontal position. An external force of

$20N$ is applied to the sliding element at $B,$ in the direction of its slide and towards the origin.

Calculate the direction and amount of force that the hydraulic cylinder must apply to keep

the mechanism in static balance.

Dynamically balance the shaft shown below with its dimensions from two directions by placing

weights on the right and left correction planes at a distance of $8cm$ from the center.

In what ancular nocitinn and in what culantity are the weirahts vonunut?The figure shows a "Double Slide" mechanism with its dimensions, with the angle between the slides being $120$ degrees. Describing the mechanism with the vector loop seen on the side

calculate the distance OA$,$ that is$,$ the length of vector $A,$ when the length is $5cm.$ Calculate the distance $OB,$ that is$,$ the length of vector $B,$ and the angle of the connecting rod element. Then, draw the mechanism in the given position and check the values you found with measurements.

$2$ The sliding element at $A$ of the mechanism given in Question $1$ above is driven to the right by a hydraulic piston at a constant speed of $8c\frac{m}{sec}.$ By taking the derivatives of the components of the position vectors of the mechanism with respect to time, calculate the speed of the sliding element at $B$ and the angular velocity of the connecting rod element at the given position, that is$,$ when the distance OA is $5cm.W=V*r$