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King Fahd University of Petroleum Minerals

• Mechanical Engineering
• Dynamics ME 201
• BY
• Dr. Meyassar N. Al-Haddad
• Lecture 8

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Review Chapter 12

• 12.1 Introduction
• 12.2 Rectilinear Kinematics
• 12.4 General Curvilinear Motion
• 12.5 Rectangular components
• 12.6 Motion of a Projectile
• 12.7 Normal and Tangential
• 12.8 Polar and Cylindrical
• 12.9 Absolute Dependent Motion Analysis
• 12.10 Relative motion of two particles

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12.1 Introduction
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Areas of mechanics (section12.1)

• Statics (CE-201)
• - Concerned with body at rest
• Dynamics
• Concerned with body in motion
• Kinematics, is a study the geometry of the motion
• s, v, a, t
• 2. Kinetics, is a study of forces cause the
  motion F, m, motion

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12.2 Rectilinear Kinematics

• Time dependent acceleration

• Constant acceleration

This applies to a freely falling object
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• Rectangular Components
• Position vector r x i y j z k
• Velocity v vx i vy j vz k
  (tangent to path)
• Acceleration a ax i ay j az k
  (tangent to hodograph)
• Normal and Tangential Components
• Radius of curvature (r)
• Velocity
• Acceleration
• Polar Cylindrical Components
• Position r r ur
• Velocity
• Acceleration

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• 12.9 Absolute Dependent Motion of Two Particles
• Position
• Velocity
• Acceleration
• 12.10 Relative-Motion Analysis of Two Particles
  Using Translating Axes
• Position
• Velocity
• Acceleration

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Review problems

• 25 Examples
• 10 Homework Problems
• 13 Problems in appendix D page 646656
• Problems included in the Lecture Notes

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Continuous Motion

• The position of a particle is s (0.5t34t) ft,
  where t is in second. Determine the velocity and
  the acceleration of the particle when t 3 s.

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Projectile

• Determine the speed at which the basketball at A
  must be thrown at the angle of 30o so that it
  makes it to the basket at B. At what speed does
  it pass through the hoop?
• Horizontal

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Normal and Tangential

• At a given instant, the automobile has a speed of
  25 m/s and an acceleration of 3 m/s2 acting in
  the direction shown. Determine the radius of
  curvature of the path and the rate of increase of
  the automobiles speed.

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Polar and Cylindrical

• The slotted fork is rotating about O at a
  constant rate of 3 rad/s. Determine the radial
  and transverse components of velocity and
  acceleration of the pin A at the instant q
  360o. The path is defined by the spiral groove r
  (5q/p) in., where q is in radians.

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Dependent Motion

• Determine the speed of point P on the cable in
  order to lift the platform at 2 m/s

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Relative motion

• At the instant shown, cars A and B are traveling
  at the speeds shown. If B is accelerating at 1200
  km/h2 while A maintains a constant speed,
  determine the velocity and acceleration of A with
  respect to B.

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Thank You