Mastery of the objectives of this module is essential to a successful understanding and completion of subsequent modules. Students will be able to find the kinematic quantities position, displacement, velocity, and acceleration of a particle traveling along a straight path. Free questions and problems related to the sat test and tutorials on rectilinear motion with either uniform velocity or uniform acceleration are included. Problem 1003 a stone is thrown vertically upward and return to earth in 10 sec. What is the difference between rectilinear and translatory. Feb 02, 2016 rectilinear motion is just one type of translatory motion. Almost every particle rectilinear kinematic problem can be solved by manipulating the following three equations. Rectilinear motion in rectilinear motion the motion of a particle is along a straight path, or a line. Linear motion also called rectilinear motion is a onedimensional motion along a straight line, and can therefore be described mathematically using only one spatial dimension. The time plots are made using the vertical yaxis as a reference. The magnetokinematic effect for the case of rectilinear.
The examples that will follow will show energy at work in diverse contexts. Kinematics of a particle university of central oklahoma. Corresponding position vector also remains a three. Provided the velocity of the particle is known at two points, the average. Worked out problems in work and energy in rectilinear motion. Rectilinear kinematics investigates lows of motion of objects along straight line without any reference to forces that cause the motion to change. Rectilinear motion unl digital commons university of nebraska. A car travels in a straight line covering a total distance of 90. Kinematics of particles part i rectilinear motion solved university problems. A ball does not rotate, but slides along the floor along a circular path. A car is driven along a straight track with position given by st 150t 300 ft t in seconds. The particle is located by the radial distance r from a fixed point and by an angular measurement.
As such, a given motion is evaluated di erently by di erent observers system of references. Rectilinear motion using integration solutions to selected problems calculus 9thedition anton, bivens, davis matthew staley november 15, 2011. Position velocity acceleration speed summary although some of the examples and exercises considered motion in a vertical direction, it will be convenient. Starting from rest, a particle moving in a straight line has an. Let after time t particle be at a point p at a distance x from o. Free fall it is a type of uniformly accelerated rectilinear motion uarm motion along a straight line with variable velocity constant acceleration because of the gravity and it is always 9. Linear motions, where the trajectory is a straight line. Motion problems, questions with solutions and tutorials. This ezed video explains what is kinematics of particle rectilinear motion. For each time specify whether the particle is moving to the left or right and whether or not it is speeding up or slowing down.
Rectilinear kinematics refers to straight line motion. Pdf dynamics kinetics of particles and rectilinear. The motion of a particle along a straight line is called rectilinear motion. The earth for example may be assumed as a particle in comparison with its orbit, whereas to an observer on the earth, it is a body with appreciable size. The magnetokinematic effect for the case of rectilinear motion article in european journal of physics 334. Solution a 2t6 dv a dt l v 0 dv l t 0 2t6 dt v t 26t ds v dt l s 0 ds l t 0 t 26t dt s t 3 33t 2 when t 6 s, v 0 ans. Positive slope v 0 particle moving in positive direction. Rectilinear motion is the motion of a single particle along a straight line. However, we might need all of the three components of the newtons law.
Since the topic is vast we shall restrict ourselves to the simpler case of rectilinear motion. Rectilinear motion definition of rectilinear motion by. Hence, the position of the particle can be identified solely with a scalar value called the position coordinate, x. Determination of the motion of a particle sample problem 11. The position of the particle is represented by a position vector rstarting from the origin oof the axis of the motion. Graphical a given a graph of position as a function of time, for one dimensional motion, determine either average or instantaneous velocity. Rectilinear motion using integration solutions to selected. Notably, the motion of a body and its measurement is found to be in uenced by the state of motion of the observer itself and hence by the state of motion of the attached frame of reference. Linear motion is a onedimensional motion along a straight line, and can therefore be. This position coordinate, x, is the distance from a reference point chosen on the the line i.
What was its initial velocity and how high did it go. Stop by the office recycling box on your way to class and. The magnetokinematic effect for the case of rectilinear motion. The concepts of displacement, distance, velocity, speed, acceleration are thoroughly discussed. Summary chapter 11 rectilinear motion city college of san. We start by considering the simple motion of a particle along a straight line. The kinematics of a particle is characterized by specifying at any given time t, the particles position, velocity, and acceleration. Rectilinear motion dynamics whenever possible, chose a direction as the direction mechula of the motion.
Problem 1 on rectilinear motion video lecture from chapter kinematics of particles in engineering mechanics for first year engineering students. Chapter 2 kinematics of particles particle motion physical dimensions are so small compared with the radius of curvature of its path the motion of particle may be treated as that of a point ex. Particle is a term used to denote an object of point size. It follows then that position of the particle under motion is equal to the value of x coordinate others being zero. Graphs also provide a visual description of motion and reinforce the calculus concepts of differentiation and integration as used in dynamics. Rectilinear motion calculus mathematics stack exchange. Forcemassacceleration method rectilinear motion motion of a particle along a straight line for motion along xdirection, accelerations along y and zdirection will be zero. Lecture 1 introduction and rectilinear motion free download as powerpoint presentation. Motion along one dimension may be either along x or y or z axis direction and can be used to represent horizontal side to side motion along x axis or front and back motion along z axis or vertical up and down motion motion along y axis displacement not always. Apr 02, 2020 time plots for objects with rectilinear motion are more complex because their speed can change at different rates from one moment to another. Problems, questions and examples are presented with solutions and detailed explanations.
For example, an airplane has 6 degrees of freedom i. A system of particles which formed into appreciable size is termed as body. Rectilinear translation moving vessel horizontal motion if a mass of fluid moves horizontally along a straight line at constant acceleration a, the liquid surface. Suppose at time t 0 a particle is at the origin of an xaxis and has a veloc ity of v0 25 cms. If a and v are both the same sign, object is speeding up. While motion is still in a straight line, the variations in velocity can result in a curved line on the chart. Particles have mass but negligible size and have only 3 translational degrees of freedom. Physics kinematics in one dimension distance, acceleration and velocity practice problems duration. Dynamics uniform rectilinear motion for particle in uniform rectilinear motion, the acceleration is zero and the velocity is constant. Oct 29, 20 physics 504 chapter 9 uniform rectilinear motion 1. Lecture 1 introduction and rectilinear motion kinematics. Rectilinear motion definition is a linear motion in which the direction of the velocity remains constant and the path is a straight line.