In uniform circular motion, the particle moves along a circular path at constant speed. For such a particle, angular momentum is conserved about any point in the plane of the circle if no external torques act on the system; thus, the angular momentum is constant about any point in the plane of the cRead more
In uniform circular motion, the particle moves along a circular path at constant speed. For such a particle, angular momentum is conserved about any point in the plane of the circle if no external torques act on the system; thus, the angular momentum is constant about any point in the plane of the circle.
The conservation of angular momentum is one of the principles in physics. According to it, if there is no external torque acting on the system, its angular momentum will be conserved. For a uniform circular motion, the motion of the particle is restricted to a plane and the forces that act upon it are internal to the system. Thus, its angular momentum will be conserved about any point within that plane.
It should be noted that even though the angular momentum is conserved about points that are inside the plane of the circle, the value of the angular momentum is dependent on the selection of the reference point. On the other hand, the reason that it remains conserved about any point in the plane results directly from the lack of external torques.
When a particle moves in a circular path with decreasing linear speed, it experiences a tangential acceleration directed opposite to its velocity, causing it to slow down. This deceleration results in a reduction of the particle's angular momentum over time. Thus, the angular momentum of the particlRead more
When a particle moves in a circular path with decreasing linear speed, it experiences a tangential acceleration directed opposite to its velocity, causing it to slow down. This deceleration results in a reduction of the particle’s angular momentum over time. Thus, the angular momentum of the particle is not conserved in this scenario.
If the speed of the particle were constant, then it would only have centripetal acceleration toward the center of the circle, so it would have a constant angular momentum. In this case, the existence of tangential acceleration means that the speed of the particle, and hence its angular momentum, will change.
Therefore, the correct statement is that the angular momentum of the particle is not conserved while it moves in a circular path with decreasing linear speed.
Two particles, A and B, start from rest, moving toward each other under mutual forces of attraction. In this case, the center of mass of the system continues to have zero speed. This is so because the system of two particles is isolated; no external forces are acting on it. In such systems, the motiRead more
Two particles, A and B, start from rest, moving toward each other under mutual forces of attraction. In this case, the center of mass of the system continues to have zero speed. This is so because the system of two particles is isolated; no external forces are acting on it. In such systems, the motion of the center of mass is determined only by external forces. Since there are none in this case, the center of mass remains stationary or maintains a constant velocity. Initially, both particles are at rest, so the velocity of the center of mass is zero.
As they move toward each other because of mutual attraction, their velocities change, but these changes are such that the internal forces do not affect the center of mass. Internal forces always act in equal and opposite directions, thus canceling out their effects on the system as a whole. Hence, even in the case of particle A travelling at speed v and particle B traveling at twice that speed (2v) the center of mass of this system does not gain any velocity to move. Such a scenario is in fact an exercise in the fundamental conservation of momentum concept in isolated systems.
(i) Investing in Improved Healthcare Infrastructure: - Enhances access to medical facilities, preventive care, and essential treatments. - Enables early diagnosis, effective disease management, and prevention. - Reduces the burden of preventable diseases and chronic conditions. - Lowers mortality raRead more
(i) Investing in Improved Healthcare Infrastructure:
– Enhances access to medical facilities, preventive care, and essential treatments.
– Enables early diagnosis, effective disease management, and prevention.
– Reduces the burden of preventable diseases and chronic conditions.
– Lowers mortality rates and improves overall public health.
(ii) Relationship between Population Trends and Poverty Reduction:
– Balanced population growth and age structure spur economic growth and development.
– Proper rural-urban distribution offers more opportunities and resources, reducing poverty.
– High population growth, skewed demographics, and rural-urban disparities strain resources, hindering poverty alleviation efforts.
(iii) Mutual Relationship between Poverty and Population Dynamics:
– Population dynamics (growth, age structure, distribution) influence poverty levels.
– Poverty impacts demographic trends, affecting birth rates, migration, and access to services.
– Interplay between poverty and population dynamics shapes development outcomes, highlighting their mutual influence on each other.
A particle undergoes uniform circular motion. About which point on the plane of the circle, will the angular momentum of the particle remain conserved?
In uniform circular motion, the particle moves along a circular path at constant speed. For such a particle, angular momentum is conserved about any point in the plane of the circle if no external torques act on the system; thus, the angular momentum is constant about any point in the plane of the cRead more
In uniform circular motion, the particle moves along a circular path at constant speed. For such a particle, angular momentum is conserved about any point in the plane of the circle if no external torques act on the system; thus, the angular momentum is constant about any point in the plane of the circle.
The conservation of angular momentum is one of the principles in physics. According to it, if there is no external torque acting on the system, its angular momentum will be conserved. For a uniform circular motion, the motion of the particle is restricted to a plane and the forces that act upon it are internal to the system. Thus, its angular momentum will be conserved about any point within that plane.
It should be noted that even though the angular momentum is conserved about points that are inside the plane of the circle, the value of the angular momentum is dependent on the selection of the reference point. On the other hand, the reason that it remains conserved about any point in the plane results directly from the lack of external torques.
Check here for more details: – https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-6/
See lessA particle is confined to rotate in a circular path with decreasing liner speed. Then which of the following is correct?
When a particle moves in a circular path with decreasing linear speed, it experiences a tangential acceleration directed opposite to its velocity, causing it to slow down. This deceleration results in a reduction of the particle's angular momentum over time. Thus, the angular momentum of the particlRead more
When a particle moves in a circular path with decreasing linear speed, it experiences a tangential acceleration directed opposite to its velocity, causing it to slow down. This deceleration results in a reduction of the particle’s angular momentum over time. Thus, the angular momentum of the particle is not conserved in this scenario.
If the speed of the particle were constant, then it would only have centripetal acceleration toward the center of the circle, so it would have a constant angular momentum. In this case, the existence of tangential acceleration means that the speed of the particle, and hence its angular momentum, will change.
Therefore, the correct statement is that the angular momentum of the particle is not conserved while it moves in a circular path with decreasing linear speed.
Click here : – https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-6/
See lessTwo particles A and B, initially at rest, move towards each other under mutual force of attraction. At the instant when the speed of A is v and the speed of B is 2v, the speed of the centre of mass of the system is
Two particles, A and B, start from rest, moving toward each other under mutual forces of attraction. In this case, the center of mass of the system continues to have zero speed. This is so because the system of two particles is isolated; no external forces are acting on it. In such systems, the motiRead more
Two particles, A and B, start from rest, moving toward each other under mutual forces of attraction. In this case, the center of mass of the system continues to have zero speed. This is so because the system of two particles is isolated; no external forces are acting on it. In such systems, the motion of the center of mass is determined only by external forces. Since there are none in this case, the center of mass remains stationary or maintains a constant velocity. Initially, both particles are at rest, so the velocity of the center of mass is zero.
As they move toward each other because of mutual attraction, their velocities change, but these changes are such that the internal forces do not affect the center of mass. Internal forces always act in equal and opposite directions, thus canceling out their effects on the system as a whole. Hence, even in the case of particle A travelling at speed v and particle B traveling at twice that speed (2v) the center of mass of this system does not gain any velocity to move. Such a scenario is in fact an exercise in the fundamental conservation of momentum concept in isolated systems.
Click here for more:- https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-6/
See lessRead the passage given below and answer the questions followed:
(i) Investing in Improved Healthcare Infrastructure: - Enhances access to medical facilities, preventive care, and essential treatments. - Enables early diagnosis, effective disease management, and prevention. - Reduces the burden of preventable diseases and chronic conditions. - Lowers mortality raRead more
(i) Investing in Improved Healthcare Infrastructure:
– Enhances access to medical facilities, preventive care, and essential treatments.
– Enables early diagnosis, effective disease management, and prevention.
– Reduces the burden of preventable diseases and chronic conditions.
– Lowers mortality rates and improves overall public health.
(ii) Relationship between Population Trends and Poverty Reduction:
– Balanced population growth and age structure spur economic growth and development.
– Proper rural-urban distribution offers more opportunities and resources, reducing poverty.
– High population growth, skewed demographics, and rural-urban disparities strain resources, hindering poverty alleviation efforts.
(iii) Mutual Relationship between Poverty and Population Dynamics:
See less– Population dynamics (growth, age structure, distribution) influence poverty levels.
– Poverty impacts demographic trends, affecting birth rates, migration, and access to services.
– Interplay between poverty and population dynamics shapes development outcomes, highlighting their mutual influence on each other.