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A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder are
- a)up the incline while ascending and down the incline descending
- b)up the incline while ascending as well as descending
- c)down the incline while ascending and up the incline while descending
- d)down the incline while ascending as well as descending.
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A cylinder rolls up an inclined plane, reaches some height, and then r...
Imagine the cylinder to be moving on a frictionless surface. In both the cases the acceleration of the centre of mass of the cylinder is g sin q. This is also the acceleration of the point of contact of the cylinder with the inclined surface. Also no torque (about the centre of cylinder) is acting on the cylinder since we assumed the surface to be frictionless and the forces acting on the cylinder is mg and N which pass through the centre of cylinder. Therefore the net movement of the point of contact in both the cases is in the downward direction as shown. Therefore the frictional force will act in the upward direction in both the cases.
Note : In general we find the acceleration of the point of contact due to translational and rotational motion and then find the net acceleration of the point of contact.
The frictional force acts in the opposite direction to that of net acceleration of point of contact.
Most Upvoted Answer
A cylinder rolls up an inclined plane, reaches some height, and then r...
Frictional Force on a Cylinder Rolling up an Inclined Plane
When a cylinder rolls up an inclined plane, there are two main forces acting on it - the gravitational force (mg) and the normal force (N). The direction of the frictional force depends on the relative magnitudes of these two forces.
Ascending the Incline
When the cylinder is ascending the incline, the gravitational force is acting downwards (opposite to the direction of motion) and the normal force is acting perpendicular to the incline (upwards). In this case, the frictional force acts in the opposite direction to the gravitational force to prevent slipping.
1. Gravitational Force (mg): Downwards
2. Normal Force (N): Upwards
3. Frictional Force (f): Upwards (opposite to the direction of motion)
Therefore, the direction of the frictional force is up the incline while ascending.
Descending the Incline
When the cylinder is descending the incline, the gravitational force is acting downwards (in the same direction as the motion) and the normal force is acting perpendicular to the incline (upwards). In this case, the frictional force acts in the same direction as the gravitational force to prevent slipping.
1. Gravitational Force (mg): Downwards
2. Normal Force (N): Upwards
3. Frictional Force (f): Downwards (in the same direction as the motion)
Therefore, the direction of the frictional force is down the incline while descending.
Conclusion
Based on the analysis above, the frictional force on the cylinder is up the incline while ascending and down the incline while descending. This is because the direction of the frictional force opposes the motion while ascending and aids the motion while descending to prevent slipping.
Hence, the correct answer is option 'B' - the frictional force acts up the incline while ascending and down the incline while descending.
When a cylinder rolls up an inclined plane, there are two main forces acting on it - the gravitational force (mg) and the normal force (N). The direction of the frictional force depends on the relative magnitudes of these two forces.
Ascending the Incline
When the cylinder is ascending the incline, the gravitational force is acting downwards (opposite to the direction of motion) and the normal force is acting perpendicular to the incline (upwards). In this case, the frictional force acts in the opposite direction to the gravitational force to prevent slipping.
1. Gravitational Force (mg): Downwards
2. Normal Force (N): Upwards
3. Frictional Force (f): Upwards (opposite to the direction of motion)
Therefore, the direction of the frictional force is up the incline while ascending.
Descending the Incline
When the cylinder is descending the incline, the gravitational force is acting downwards (in the same direction as the motion) and the normal force is acting perpendicular to the incline (upwards). In this case, the frictional force acts in the same direction as the gravitational force to prevent slipping.
1. Gravitational Force (mg): Downwards
2. Normal Force (N): Upwards
3. Frictional Force (f): Downwards (in the same direction as the motion)
Therefore, the direction of the frictional force is down the incline while descending.
Conclusion
Based on the analysis above, the frictional force on the cylinder is up the incline while ascending and down the incline while descending. This is because the direction of the frictional force opposes the motion while ascending and aids the motion while descending to prevent slipping.
Hence, the correct answer is option 'B' - the frictional force acts up the incline while ascending and down the incline while descending.
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A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder area)up the incline while ascending and down the incline descendingb)up the incline while ascending as well as descendingc)down the incline while ascending and up the incline while descendingd)down the incline while ascending as well as descending.Correct answer is option 'B'. Can you explain this answer?
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A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder area)up the incline while ascending and down the incline descendingb)up the incline while ascending as well as descendingc)down the incline while ascending and up the incline while descendingd)down the incline while ascending as well as descending.Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder area)up the incline while ascending and down the incline descendingb)up the incline while ascending as well as descendingc)down the incline while ascending and up the incline while descendingd)down the incline while ascending as well as descending.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder area)up the incline while ascending and down the incline descendingb)up the incline while ascending as well as descendingc)down the incline while ascending and up the incline while descendingd)down the incline while ascending as well as descending.Correct answer is option 'B'. Can you explain this answer?.
A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder area)up the incline while ascending and down the incline descendingb)up the incline while ascending as well as descendingc)down the incline while ascending and up the incline while descendingd)down the incline while ascending as well as descending.Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder area)up the incline while ascending and down the incline descendingb)up the incline while ascending as well as descendingc)down the incline while ascending and up the incline while descendingd)down the incline while ascending as well as descending.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder area)up the incline while ascending and down the incline descendingb)up the incline while ascending as well as descendingc)down the incline while ascending and up the incline while descendingd)down the incline while ascending as well as descending.Correct answer is option 'B'. Can you explain this answer?.
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A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder area)up the incline while ascending and down the incline descendingb)up the incline while ascending as well as descendingc)down the incline while ascending and up the incline while descendingd)down the incline while ascending as well as descending.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder area)up the incline while ascending and down the incline descendingb)up the incline while ascending as well as descendingc)down the incline while ascending and up the incline while descendingd)down the incline while ascending as well as descending.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder area)up the incline while ascending and down the incline descendingb)up the incline while ascending as well as descendingc)down the incline while ascending and up the incline while descendingd)down the incline while ascending as well as descending.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder area)up the incline while ascending and down the incline descendingb)up the incline while ascending as well as descendingc)down the incline while ascending and up the incline while descendingd)down the incline while ascending as well as descending.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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