century‚ Galileo experimentally examined the concept of acceleration. One of his goals was to measure the acceleration due to gravity‚ or the acceleration of freely falling objects. Unfortunately‚ his timing devices were not precise enough to measure the free fall time directly. He decided to “dilute” gravity by using fluids‚ inclined planes‚ and pendulums. Galileo’s idea of diluting gravity using inclined planes worked like this: the acceleration of a rolling cart on an inclined plane is small‚ therefore
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a graph versus t (plot t on the abscissa‚ i.e.‚ x-axis). Results 1: Task 3. Plot a graph versus t2 (plot t2 on the abscissa‚ i.e.‚ x-axis). The equation of motion for an object in free fall starting from rest is y = ½ gt2‚ where g is the acceleration due to gravity. This is the equation of a parabola‚ which has the general form y = ax2. Results 1: Task 4. Determine the slope of the line and compute an experimental value of g from the slope value. Remember‚ the slope of this graph represents
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Objectives: To learn about motion through studying and matching graphs of position vs. time and velocity vs. time; to develop an understanding of the concepts of kinematics. Predict‚ sketch‚ and test motion graphs to better understand motion. Equipment: Computer Vernier computer interface Logger Pro Vernier Motion Detector Meter stick Masking tape Preliminary Questions: 1a. The pink line shows the position of an object at rest with respect to
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Velocity Instantaneous Velocity Average Acceleration Instantaneous Acceleration Equations of Linear Motions Motion Graphs Free Falling Objects under gravity Projectile Motion Uniform Circular Motion ASD 2011/12 KINEMATICS 1/23 PPH0095 MECHANICS Mind Map ASD 2011/12 KINEMATICS 2/23 PPH0095 MECHANICS OBJECTIVES Upon completion of this chapter‚ you should be able to: 1) 2) 3) 4) 5) define distance‚ displacement‚ velocity‚ acceleration. know how to apply all the equation
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Introduction to the Language of Kinematics Describing Motion with Words Scalars and Vectors Distance and Displacement Speed Velocity Acceleration Kinematics is the science of describing the motion of objects using words‚ diagrams‚ numbers‚ graphs‚ and equations. The goal of any study of kinematics is to develop sophisticated models which serve in describing (and ultimately‚ explaining) the motion of real-world objects. Much of our lives are spent in motion‚ travelling
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vector or scalar quantities. Of particular interest‚ the forces‚ which operate on a flying aircraft‚ the weight‚ thrust‚ and aerodynamic forces‚ are all vector quantities. The resulting motion of the aircraft in terms of displacement‚ velocity‚ and acceleration are also vector quantities. These quantities can be determined by application of Newton’s laws for vectors. The scalar quantities include most of the thermodynamic state variables involved with the propulsion system‚ such as the density‚ pressure
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velocity has the constant value vx = C; that is‚ x = Ct i. On the diagram above‚ indicate the directions of the particle’s velocity vector v and acceleration vector a at point R‚ and label each vector. ii. Determine the y-component of the particle’s velocity as a function of x. iii. Determine the y-component of the particle’s acceleration. b. Suppose‚ instead‚ that the particle moves along the same parabola with a velocity whose x-component is given by vx = C/(1+x²)½ i. Show
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m/s to a speed of 26.8 m/s? 2. A bowling ball with a negative initial velocity slows down as it rolls down the lane toward the pins. Is the bowling ball’s acceleration positive or negative as it rolls toward the pins? 3. Nathan accelerates his skateboard uniformly along a straight path from rest to 12.5 m/s in 2.5 s. a. What is Nathan’s acceleration? b. What is Nathan’s displacement during this time interval? c. What is Nathan’s average velocity during this time interval? 4. Critical Thinking Two cars
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Ɵ = 83.72 or Ɵ = 84° | 3. A car starting from rest‚ accelerates for 15.0 min until it’s velocity is 20 m/s. It then moves at constant velocity for another 20.0 min before it slow down and finally stopped in another 10.0 min. Find (a) acceleration during the first 15 min‚ (b) the deceleration during the last 10 min of its motion‚ (c) the distance traveled during the last minute‚ and the (d) total displacement. (e) Draw the displacement versus time graph and velocity versus time graph for
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Reading Assignment #1: Vector Analysis Textbook Sections that I read: 2.1-3 Important Concepts: An interaction between two objects can be described and measured in terms of two forces. The force is a push or either a pull. There are two types of forces. #1 is a long range force and this force does not require the objects involved to be touching each other. An example of this is when you are holding a magnet away from a refrigerator and you are able to feel the magnetic pull. #2 is a contact force
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