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Dynamics_Hibbeler_CH16_1and3

# Dynamics_Hibbeler_CH16_1and3 - PLANAR RIGID BODY MOTION...

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Today’s Objectives : Students will be able to: 1. Analyze the kinematics of a rigid body undergoing planar translation or rotation about a fixed axis. In-Class Activities : Check Homework Reading Quiz Applications Types of Rigid-Body Motion Planar Translation Rotation About a Fixed Axis Concept Quiz Group Problem Solving Attention Quiz PLANAR RIGID BODY MOTION: TRANSLATION & ROTATION

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READING QUIZ 1. If a rigid body is in translation only, the velocity at points A and B on the rigid body _______ . A) are usually different B) are always the same C) depend on their position D) depend on their relative position 2. If a rigid body is rotating with a constant angular velocity about a fixed axis, the velocity vector at point P is _______. A) ϖ × r p B) r p × ϖ C) d r p /dt D) All of the above.
APPLICATIONS Passengers on this amusement ride are subjected to curvilinear translation since the vehicle moves in a circular path but they always remains upright. Does each passenger feel the same acceleration? If the angular motion of the rotating arms is known, how can we determine the velocity and acceleration experienced by the passengers? Why would we want to know these values?

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APPLICATIONS (continued) Gears, pulleys and cams, which rotate about fixed axes, are often used in machinery to generate motion and transmit forces. The angular motion of these components must be understood to properly design the system. To do this design, we need to relate the angular motions of contacting bodies that rotate about different fixed axes. How is this different than the analyses we did in earlier chapters?
RIGID BODY MOTION (Section 16.1) We will now start to study rigid body motion . The analysis will be limited to planar motion . For example, in the design of gears, cams, and links in machinery or mechanisms, rotation of the body is an important aspect in the analysis of motion. There are cases where an object cannot be treated as a particle. In these cases the size or shape of the body must be considered. Rotation of the body about its center of mass requires a different approach. A body is said to undergo planar motion when all parts of the body move along paths equidistant from a fixed plane.

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PLANAR RIGID BODY MOTION There are three types of planar rigid body motion.
PLANAR RIGID BODY MOTION (continued) Translation: Translation occurs if every line segment on the body remains parallel to its original direction during the motion. When all points move along straight lines, the motion is called rectilinear translation. When the paths of motion are curved lines, the motion is called curvilinear translation.

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Rotation about a fixed axis: In this case, all the particles of the body, except those on the axis of rotation, move along
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Dynamics_Hibbeler_CH16_1and3 - PLANAR RIGID BODY MOTION...

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