Final answer:
To determine the angular and sliding velocities and accelerations of link AC in a mechanical system with a sleeve sliding upwards, the principles of rotational and translational motion in physics must be used, which typically involve trigonometric decomposition and kinematics.
Step-by-step explanation:
The question involves a sleeve sliding upward on a guide with a constant velocity and a pivoted bar undergoing motion due to this sliding. To analyze the motion of link AC, which includes determining its angular velocity, sliding velocity, angular acceleration, and sliding acceleration, we need to employ the principles of kinematics and dynamics in the context of rotational and translational motion, often covered in a college-level physics course specifically in mechanics or dynamics.
In general, the angular velocity can be found using the relationship between the linear velocity of the sleeve and the rotation of the bar AC. Since the guide DE is inclined at 45°, trigonometric functions would be used to decompose the velocity into components aligned with the bar AC. Similarly, the angular acceleration would be related to the change in angular velocity over time, and in the absence of additional forces or changing speeds, could be considered zero if the sleeve's velocity is constant.
For translational aspects, the sliding velocity of link AC can be determined by considering the component of the sleeve's velocity that causes translation along AC. Sliding acceleration would typically involve differentiating the sliding velocity with respect to time or considering external forces causing acceleration along AC, if any.