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Question
A cylinder rolling down the incline without slipping is an example of___ .
A cylinder rolling down the incline without slipping is an example of
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Solution
The correct option is B Both translational and rotational motion
A cylinder rolling down the incline without slipping is an example of translational as well as a rotational motion. Here, translational motion is related to the center of mass of the cylinder which has a translational motion while the points on the edge of the cylinder perform the rotational motion. Following diagram represents the required concept. v, a and α represent translational velocity, linear acceleration and angular acceleration respectively. These factors prove that a rolling cylinder has both types of motions.
Both translational and rotational motion
A cylinder rolling down the incline without slipping is an example of translational as well as a rotational motion. Here, translational motion is related to the center of mass of the cylinder which has a translational motion while the points on the edge of the cylinder perform the rotational motion. Following diagram represents the required concept. v, a and α represent translational velocity, linear acceleration and angular acceleration respectively. These factors prove that a rolling cylinder has both types of motions.
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