VB P2 As shown in the diagram above point O is fixed points

VB P2 As shown in the diagram above, point O is fixed, points A & B are on the same body in general plane motion, and the absolute velocities of A and B are shown. Select the following statement which is true The velocity of A relative to B is equal and opposite to the velocity of B relative to A The angular velocity of point A is different than the angular velocity of point B The direction of rA/B does not change. the angular velocity of body AB.

Solution

For the 1st option, it is true as for two moving particles, the ralative velocities will be always constant as far as they are moving at constant speed. As far as the direction of motion is concerned, algebrically, the direction will be different. So, the velocity of A relative to B will be equal and opposite to the velocity of B relative to A

For the 2nd Option, This is also true, for rotation, as the magnitude and direction of two velocities of A and B are different, so rotaion of them about any point will be different.

For third option, what is \"r\", is not clear in the question, assuming the \"r\" to be the radius for the angular motion of B with respect to A, as far as the distance between A and B is same, i.e. the bodi is rigid enough that it does not change it\'s shape, r will not change

For 4th option, This is not right, as O point is fixed, there is no point of having any angular velocity of O.