Kinematics Equations Kinematics Equations The kinematic equations are a set of four equations that can be utilized to predict unknown information about an object's motion if other information is known. The equations can be utilized for any motion that can be described as being either a constant velocity motion (an acceleration of 0 m/s/s) or a constant acceleration motion. They can never be used over any time period during which the acceleration is changing. Each of the kinematic equations include four variables. If the values of three of the four variables are known, then the value of the fourth variable can be calculated. In this manner, the kinematic equations provide a useful means of predicting information about an object's motion if other information is known. What is Kinematics? In Classical mechanics, we basically define motion in terms of space and time, and ignore the agents that cause that motion. This portion of the classical mechanics is called kinematics
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From our everyday experience, we identify that motion represents a continuous change in the location of an object. There are three types of motion :a) Translational motion A car moving on a highway is an example of translational motion. b) Rotational motion The Earth’s revolve on its axis, is an example of rotational motion. c) Vibrational motion The motion of the pendulum is an example of vibrational motion. We could also say that Kinematics is the study of objects in motion.The main concepts of Kinematics include speed, velocity, acceleration, time, distance and displacement. Inverse Kinematics Kinematics can be stated as the procedure to calculate the position of the end of a linked structure, if angle of all the joints is already known. Kinematics is easy as there is one solution. Inverse Kinematics does the reverse of kinematics and in case we have the end point of a particular structure, certain angle values would be needed by the joints to achieve that end point.
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Solved Examples Question 1:- Initial velocity of a truck is zero and it is at rest. It experiences a uniform acceleration during the time interval of 5.21 seconds. Distance covered by the truck is 110 m. Find the acceleration? Solution :Distance traveled s = 110m, initial Velocity vi = 0, time taken t = 5.21 s, acceleration a = ? By using the Kinematic Equation we can conclude that, s = vit + 12 a t2, 110 m = (0) Ă— (5.21)+ 12 Ă— a (5.21)2, a = 8.10 m/s2.
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