Card # 1 Mechanics Mechanics: In Mechanics we study the state of rest or motion of a body. Statics: Study of bodies at rest. Kinematics: Study of geometrical description of motion of a body Dynamics: It is the study of motion of a body with taking into account the factors (shape of the body, nature of force etc.) which cause motion. Motion in one dimension: Only one out of three coordinates specifying the position of the body changes with respect to time. In such a motion, the body moves along a straight line. Motion in two dimensions: The motion of a body is said to be two dimensional motions, if any two out of three coordinates specifying the position of the body change with respect to time. In such a motion, the body moves in a plane. Motion in three dimensions: The motion of a body is said to be three dimensional motions, if all three coordinates specifying the position of the body change with respect to time. In such a motion, the body moves in a space. Distance: It is the length of the actual path traveled by a body during motion in a given interval of time. It is always positive. It is a scalar quantity. Displacement: The shortest distance between the two positions of the body in a particular direction during that time and is given by the vector drawn from the initial position to its final position. Displacement is independent of the path. It is a vector quantity. The value of displacement can never be greater than the distance traveled. Speed= Distance/ Time Average speed = Total distance covered / Total time taken Average speed = (s1+ s2+s3+……)/ (t1+t2+t3+…….) Velocity = Displacement/Time
Acceleration =Velocity/time