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A cylinder rolls without slipping down an inclined plane,the number of degrees of freedom it has,is (1) 2 (2) 3 (3) 5 (4) 1?
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A cylinder rolls without slipping down an inclined plane,the number of...
Explanation:
A cylinder rolling without slipping down an inclined plane has three degrees of freedom.
1. Translational Motion:
The cylinder can move along the inclined plane in the direction of the force of gravity. This represents one degree of freedom.
2. Rotational Motion:
The cylinder can also rotate around its axis as it moves down the inclined plane. This rotation can be in either direction. This represents another degree of freedom.
3. Rolling Motion:
The rolling motion of the cylinder is a combination of translational and rotational motion. When the cylinder rolls without slipping, the distance it moves is directly related to the amount it rotates. This relationship eliminates one degree of freedom, as the two motions are dependent on each other.
Visual Representation:
To visualize this, imagine a cylinder rolling down an inclined plane. As it moves, the bottom of the cylinder experiences a frictional force that causes it to rotate. This rotation is necessary to maintain the rolling motion without slipping.
Conclusion:
Therefore, a cylinder rolling without slipping down an inclined plane has three degrees of freedom: one for translational motion, one for rotational motion, and one for the combined rolling motion.
A cylinder rolling without slipping down an inclined plane has three degrees of freedom.
1. Translational Motion:
The cylinder can move along the inclined plane in the direction of the force of gravity. This represents one degree of freedom.
2. Rotational Motion:
The cylinder can also rotate around its axis as it moves down the inclined plane. This rotation can be in either direction. This represents another degree of freedom.
3. Rolling Motion:
The rolling motion of the cylinder is a combination of translational and rotational motion. When the cylinder rolls without slipping, the distance it moves is directly related to the amount it rotates. This relationship eliminates one degree of freedom, as the two motions are dependent on each other.
Visual Representation:
To visualize this, imagine a cylinder rolling down an inclined plane. As it moves, the bottom of the cylinder experiences a frictional force that causes it to rotate. This rotation is necessary to maintain the rolling motion without slipping.
Conclusion:
Therefore, a cylinder rolling without slipping down an inclined plane has three degrees of freedom: one for translational motion, one for rotational motion, and one for the combined rolling motion.
Community Answer
A cylinder rolls without slipping down an inclined plane,the number of...
1 for without slip
2 for slipping
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A cylinder rolls without slipping down an inclined plane,the number of degrees of freedom it has,is (1) 2 (2) 3 (3) 5 (4) 1?
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A cylinder rolls without slipping down an inclined plane,the number of degrees of freedom it has,is (1) 2 (2) 3 (3) 5 (4) 1? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A cylinder rolls without slipping down an inclined plane,the number of degrees of freedom it has,is (1) 2 (2) 3 (3) 5 (4) 1? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylinder rolls without slipping down an inclined plane,the number of degrees of freedom it has,is (1) 2 (2) 3 (3) 5 (4) 1?.
A cylinder rolls without slipping down an inclined plane,the number of degrees of freedom it has,is (1) 2 (2) 3 (3) 5 (4) 1? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A cylinder rolls without slipping down an inclined plane,the number of degrees of freedom it has,is (1) 2 (2) 3 (3) 5 (4) 1? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylinder rolls without slipping down an inclined plane,the number of degrees of freedom it has,is (1) 2 (2) 3 (3) 5 (4) 1?.
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