The uniform hatch door, having a mass of 15 kg and a mass center at g, is supported in the horizontal plane by bearings at a and b. if a vertical force f = 300 n is applied to the door as shown, determine the components of reaction at the bearings and the angular acceleration of the door. the bearing at a will resist a component of force in the y direction, whereas the bearing at b will not. for the calculation, assume the door to be a thin plate and neglect the size of each bearing. the door is originally at rest.