LECTUR~5_12.8 - MEC 1392 DYNAMICS LECTURE 1 SECTION 12.8 DR...

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DR. SANISAH SAHARIN (E1-5-2.14) MEC 1392 DYNAMICS LECTURE 1: SECTION 12.8
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CURVILINEAR MOTION: CYLINDRICAL COMPONENTS Today s Objectives: Students will be able to: 1. Determine velocity and acceleration components using cylindrical coordinates. In-Class Activities: Applications Velocity Components Acceleration Components Concept Quiz Group Problem Solving Attention Quiz
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READING QUIZ 1. In a polar coordinate system, the velocity vector can be written as v = v r u r + v θ u θ = r u r + r θ u θ . The term θ is called A) transverse velocity. B) radial velocity. C) angular velocity. D) angular acceleration. . . . 2. The speed of a particle in a cylindrical coordinate system is A) r B) r θ C) (r θ ) 2 + (r) 2 D) (r θ ) 2 + (r) 2 + (z) 2 . . . . . . .
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APPLICATIONS A cylindrical coordinate system is used in cases where the particle moves along a 3-D curve. In the figure shown, the box slides down the helical ramp. How would you find the box s velocity components to check to see if the package will fly off the ramp?
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The cylindrical coordinate system can be used to describe the motion of the girl on the slide.
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