Identify the accurate assertion ?
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Answer: A. The body centrode rolls on the space centrode
Explanation
Planar kinematics dictates that instantaneous motion of a rigid body is represented by rolling without slipping. The body centrode is the locus of instantaneous centers fixed in the moving body. This moving body centrode rolls continuously along the stationary space centrode during planar motion. Kinematics of rigid bodies studies motion without considering the forces causing the movement. The instantaneous center of zero velocity simplifies complex planar rotation and translation calculations. Centrodes provide a powerful geometric visualization tool for analyzing complex machine linkage mechanisms.
Gear design and cam mechanism analysis utilize instantaneous centers and centrode rolling principles. Automotive steering geometry evaluation relies on understanding rolling paths and instantaneous rotation centers. Kinematic synthesis of industrial machinery requires accurate tracking of body and space centrode interactions. Option B incorrectly reverses the rolling relationship between the moving body and stationary space centrodes. Option C is false because only the body centrode rolls upon the stationary space centrode. Option D contradicts fundamental kinematic theorems which state centrodes maintain continuous contact at instantaneous centers.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
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