Dynamics_Hibbeler_CH12_8

Dynamics_Hibbeler_CH12_8 - CURVILINEAR MOTION CYLINDRICAL...

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Unformatted text preview: CURVILINEAR MOTION: CYLINDRICAL COMPONENTS Today’s Objectives: Students will be able to: 1. Determine velocity and acceleration components using cylindrical coordinates. In-Class Activities: • Check Homework • Reading Quiz • 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 θ29 2 + ( r) 2 D) (r θ29 2 + ( r) 2 + ( z) 2 . . . . . . . APPLICATIONS The 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 know if the package will fly off the ramp? CYLINDRICAL COMPONENTS (Section 12.8) We can express the location of P in polar coordinates as r = r u r ....
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Dynamics_Hibbeler_CH12_8 - CURVILINEAR MOTION CYLINDRICAL...

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