Chapter 1 readings
Chapter 1 readings PHSX 205-001
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This 3 page Class Notes was uploaded by Rebeka Jones on Monday September 19, 2016. The Class Notes belongs to PHSX 205-001 at Montana State University taught by Dr. Greg Francis in Fall 2016. Since its upload, it has received 10 views.
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Date Created: 09/19/16
Chapter 2: One Dimensional Kinematics Kinematic – the description of motion, without concern for the cause of the motion One dimensional motion is motion along a straight line. In order to define where something is you can check the position of an object against the ruler and note the reading. The zero of the ruler is the point of origin. We have the right to choose which direction is positive and which direction is negative relative to the origin. This is call orientation. The combination of orientation and origin is called coordinate system. As an object changes position we say that it is undergoing translation. The amount it moves is the displacement (D). displacement involves distance and direction. In one dimension the direction is positive or negative. *delta (Δ) indicates change Δx = f inal nitial Distance – absolute value of displacement (has no sign) Speed – how fast we are going regardless of direction Velocity – how fast and what direction we are going *in one-dimension direction can be specifically positive or negative – direction is based off the coordinate system. Instantons velocity – what the speedometer reads with a sign for direction Uniform Motion – when your instantaneous velocity doesn’t change *velocity is officially m/s average velocity – average over time ∆???? ???? − ???? ????▯▯▯▯▯▯▯ = = ▯▯▯▯▯ ▯▯▯▯▯ ∆???? ▯▯▯▯▯ − ????▯▯▯▯▯▯ average velocity cannot give you the instantaneous velocity at a specific time If you want to relate the instantaneous velocity at a specific time to a distanced traveled, you must use a very short time interval *δ = very small change ???? = ???????? ▯▯▯▯▯▯▯▯▯▯▯▯▯ ???????? The standard unit for acceleration is m/s/s. The common convention is to write it as ????/???? . But this is still meters per second per second. Acceleration – change in velocity *it is wrong to assume that positive acceleration always means speeding up while negative always been slowing down. Everything is relative to the coordinate system. *in what direction is it going – velocity one way to better understand one dimensional motion is to graph the position of velocity of an object. -if equal distance in equal time it will produce a straight line -if it is going faster the slope will increase -if it is going slower the slope will decrease 2 - a flat line indicates 0 velocity Process to solve kinematics problems 1) Identify explicitly the instant in the problem that you will consider the initial time and the instant you will consider the final time. 2) Define the coordinate system you will use though out the problem . 3) Identify as many of the five variable as you can from the problem, and identify what variable you are trying to find. – the unknown For a problem to be solvable you need to know at least 3 4) Find the equation that has the variable you are trying to find and the variables that you know 5) Solve for the variable you want to find and substitute the values from the problems into the equation. ????▯= ???? +▯????∆???? ∆???? = 1 ???? + ???? ∆???? 2 ▯ ▯ 1 ∆???? = ???? ∆▯ + ????∆???? 2 ????▯= ???? +▯2∆???? 3
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