Class 11 Exam > Class 11 Questions > A small disk of mass m is released at height ...
Start Learning for Free
A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ?
Most Upvoted Answer
A small disk of mass m is released at height H ,on a circular track of...
Find kinetic energy at the base of circle up till rough part and then use energy conservation for the smooth part.....
Community Answer
A small disk of mass m is released at height H ,on a circular track of...
Introduction:
When a small disk of mass m is released at height H on a circular track of radius R, with one half of the track having sufficient friction to prevent slipping and the other half being smooth, we need to determine the maximum height attained by the disk on the frictionless track.
Analysis:
To solve this problem, let's consider the different stages of motion of the disk:
1. Initial Release:
- The disk is released from height H on the friction side of the circular track.
- As the disk moves down, it will experience a gravitational force, given by mg, where g is the acceleration due to gravity.
- The disk will also experience a normal force, N, from the track surface.
2. Friction Side of the Track:
- As the disk moves on the friction side of the track, frictional forces come into play.
- The frictional force will oppose the motion and help the disk to move in a circular path without slipping.
- The frictional force can be calculated using the equation: f = μN, where μ is the coefficient of friction.
- The maximum value of the frictional force, f_max, is given by f_max = μN.
- This frictional force will provide the necessary centripetal force for the disk to move in a circular path.
3. Transition Point:
- At a certain point on the track, the disk transitions from the friction side to the smooth side.
- At this point, the frictional force suddenly disappears, and the disk continues to move on the smooth side of the track.
- The transition point can be determined by setting the maximum frictional force, f_max, equal to the centripetal force required for circular motion.
4. Frictionless Side of the Track:
- After the transition point, the disk is on the smooth side of the track.
- On the smooth side, there is no frictional force to provide the centripetal force required for circular motion.
- The disk will continue to move in a parabolic trajectory due to the initial velocity it gained on the friction side.
- The maximum height attained by the disk on the frictionless side can be calculated using the conservation of energy, considering the initial kinetic energy and the potential energy at the maximum height.
Conclusion:
In conclusion, the maximum height attained by the disk on the frictionless track can be determined by considering the initial release, the friction side of the track, the transition point, and the frictionless side of the track. By applying the principles of friction, circular motion, and conservation of energy, we can calculate the maximum height attained by the disk.
When a small disk of mass m is released at height H on a circular track of radius R, with one half of the track having sufficient friction to prevent slipping and the other half being smooth, we need to determine the maximum height attained by the disk on the frictionless track.
Analysis:
To solve this problem, let's consider the different stages of motion of the disk:
1. Initial Release:
- The disk is released from height H on the friction side of the circular track.
- As the disk moves down, it will experience a gravitational force, given by mg, where g is the acceleration due to gravity.
- The disk will also experience a normal force, N, from the track surface.
2. Friction Side of the Track:
- As the disk moves on the friction side of the track, frictional forces come into play.
- The frictional force will oppose the motion and help the disk to move in a circular path without slipping.
- The frictional force can be calculated using the equation: f = μN, where μ is the coefficient of friction.
- The maximum value of the frictional force, f_max, is given by f_max = μN.
- This frictional force will provide the necessary centripetal force for the disk to move in a circular path.
3. Transition Point:
- At a certain point on the track, the disk transitions from the friction side to the smooth side.
- At this point, the frictional force suddenly disappears, and the disk continues to move on the smooth side of the track.
- The transition point can be determined by setting the maximum frictional force, f_max, equal to the centripetal force required for circular motion.
4. Frictionless Side of the Track:
- After the transition point, the disk is on the smooth side of the track.
- On the smooth side, there is no frictional force to provide the centripetal force required for circular motion.
- The disk will continue to move in a parabolic trajectory due to the initial velocity it gained on the friction side.
- The maximum height attained by the disk on the frictionless side can be calculated using the conservation of energy, considering the initial kinetic energy and the potential energy at the maximum height.
Conclusion:
In conclusion, the maximum height attained by the disk on the frictionless track can be determined by considering the initial release, the friction side of the track, the transition point, and the frictionless side of the track. By applying the principles of friction, circular motion, and conservation of energy, we can calculate the maximum height attained by the disk.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ?
Question Description
A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ?.
A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ?.
Solutions for A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ? defined & explained in the simplest way possible. Besides giving the explanation of
A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ?, a detailed solution for A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ? has been provided alongside types of A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ? theory, EduRev gives you an
ample number of questions to practice A small disk of mass m is released at height H ,on a circular track of radius R whose half part has sufficient friction to prevent slipping, while other part is smooth .if the disk is on the friction side of that circular track at a height H from the base ,then max height attained height by the disk on the frictionless track ? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup