End a of the uniform 12-kg bar is pinned freely to the collar, which has an acceleration a = 5.0 m/s2 along the fixed horizontal shaft. if the bar has a clockwise angular velocity ω = 1.8 rad/s as it swings past the vertical, determine the components of the force on the bar at a for this instant. ax is positive if to the right, negative if to the left. ay is positive if up, negative if down.

If a particle moves along a path such that r : (3 sin t) m and ? : 2t rad, where t is in seconds. what is the particle's acceleration in m/s in 4 seconds? a)- 16.43 b)- 16.29 c)- 15.21 d)- 13.79

An ideal otto cycle with air as the working fluid has a compression ratio of 8. the minimum and maximum temperatures in the cycle are 300 k and 1340 k. use constant specific heats at room temperature to determine (a) the amount of heat transferred to the air during the heat- addition kj/kg, (b) the thermal efficiency, and (c) the thermal efficiency of a carnot cycle ope limits. process, in rating between the same temperature

Which of the following controllers anticipates the future from the slope of errors over time? a)-proportional b)-on/off c)-integral d)-derivative.