The disk rolls without slipping on the horizontal surface as shown . the disk has a clockwise angular velocity of 20 rad/s and a counterclockwise angular acceleration of 5 rad/s^2 at the instant under consideration .the value of r is 200mm and the angle between ab and ob is given as 19.11degree .pin a is fixed to the disk but slides freely within the slotted member bc. determine the velocity and acceleration of pin a relative to the slotted member bc and the angular velocity and angular acceleration of bc. neglect the distance from the center of pin a to the edge of disk.

The force on a cutting tool are 2600n vertically downward and 2100 horizontal. determine the resultant force acting on the tool and the angle at which it acts.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

An air conditioning system consist of a 5 cm diameter pipe, operating at a pressure of 200 kpa. the air initially enters the pipe at 15°c with a velocity of 20 m/s and relative humidity of 80%. if the heat supply throughout the process is 960 w, determine the relative humidity and the temperature at the outlet