# 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
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?
The cylindrical coordinate system can be used to describe the motion of the girl on the slide.

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