The right-angle bar rotates clockwise with an angular velocity which is decreasing at the rate of 4 rad/s2. Write the vector expressions for the velocity and acceleration of point A when w = 2 rad/s. The image depicts a mechanical lever system with two connected rods. - The blue L-shaped structure consists of two rods. The horizontal rod is 0.4 meters long, while the vertical rod is 0.3 meters long.- The joint at the base allows for rotation, represented by the green arrow labeled as angular velocity, \( \omega \).- The lever pivots around this point, which is fixed to the ground.- The direction of rotation is indicated counterclockwise.- The axis system is marked with \( x \) (horizontal) and \( y \) (vertical) axes, showing the standard orientation.Point A is located at the end of the vertical rod, and the system likely analyzes concepts such as torque, angular momentum, or rotational kinematics.

Angular velocity is 2 rad/sec Decreasing angular acceleration is 4 rad/s^2 Using the right hand rule, we have ω=-2k⏞ radsα=+4k⏞ rads2 The expression for the linear velocity is v=ωrv=-2k0.4i+0.3jv=0.6i-0.8j ms The expression for the acceleration is an=ω×ωran=-2k0.6i-0.8jan=-1.6i-1.2j ms2at=α×rat=4k0.4i+0.3jat=-1.2i+1.6j ms2a=at+ana=-1.2i+1.6j+-1.6i-1.2j a=-2.8i+0.4j ms2 Now the magnitude of the velocity and acceleration can be calculated as v=0.62+0.82=1 msa=2.82+0.42=2.83 ms