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If a particle moves in a straight line is its angular momentum zero with respect to any arbitary acis?
Yes, for a particle moving in a straight line, its angular momentum is zero with respect to any arbitrary axis. This is because angular momentum is defined as the cross product of the position vector and momentum vector of the particle, and since they lie along the same line for straight-line motion, the cross product will result in zero.
How a body can have angular momentum when it is moving in straight line?
If a body is moving in a straight line then it would have angular momentum about any point which is not along its line of motion. The magnitude of the angular momentum would be its velocity times the perpendicular distance between the line of motion and the point.
A mass m is moving with a onstant velocity parallel to x axis itts angular momentum with respect to origin is.?
The angular momentum of the mass m with respect to the origin, in this case, would be zero. This is because the mass is moving parallel to the x-axis, so its position vector relative to the origin does not change with time. As angular momentum is defined as the cross product of the position vector and the linear momentum, and in this case, the position vector does not change, the angular momentum is zero.
What is the difference between linear momentum and angular momentum, and how does this difference impact the motion of objects?
Linear momentum is the momentum of an object moving in a straight line, while angular momentum is the momentum of an object rotating around an axis. The main difference is the direction of motion - linear momentum is in a straight line, while angular momentum is in a circular motion. This difference impacts the motion of objects by determining how they move and interact with their surroundings. Objects with linear momentum will continue moving in a straight line unless acted upon by an external force, while objects with angular momentum will continue rotating unless a torque is applied to change their direction.
How does the conservation of angular momentum relate to the conservation of linear momentum in a physical system?
The conservation of angular momentum and the conservation of linear momentum are related in a physical system because they both involve the principle of conservation of momentum. Angular momentum is the momentum of an object rotating around an axis, while linear momentum is the momentum of an object moving in a straight line. In a closed system where no external forces are acting, the total angular momentum and total linear momentum remain constant. This means that if one type of momentum changes, the other type will also change in order to maintain the overall conservation of momentum in the system.
If a particle moves in a straight line is its angular momentum zero with respect to any arbitary acis?
Yes, for a particle moving in a straight line, its angular momentum is zero with respect to any arbitrary axis. This is because angular momentum is defined as the cross product of the position vector and momentum vector of the particle, and since they lie along the same line for straight-line motion, the cross product will result in zero.
How a body can have angular momentum when it is moving in straight line?
If a body is moving in a straight line then it would have angular momentum about any point which is not along its line of motion. The magnitude of the angular momentum would be its velocity times the perpendicular distance between the line of motion and the point.
What is the orbital angular momentum formula and how is it used in physics?
The orbital angular momentum formula is L = r x p, where L is the angular momentum, r is the position vector, and p is the momentum vector. In physics, this formula is used to describe the rotational motion of an object around a fixed point. It helps in understanding the conservation of angular momentum and the behavior of rotating systems, such as planets orbiting the sun or electrons moving around an atomic nucleus.
A mass m is moving with a onstant velocity parallel to x axis itts angular momentum with respect to origin is.?
The angular momentum of the mass m with respect to the origin, in this case, would be zero. This is because the mass is moving parallel to the x-axis, so its position vector relative to the origin does not change with time. As angular momentum is defined as the cross product of the position vector and the linear momentum, and in this case, the position vector does not change, the angular momentum is zero.
What is the difference between linear momentum and angular momentum, and how does this difference impact the motion of objects?
Linear momentum is the momentum of an object moving in a straight line, while angular momentum is the momentum of an object rotating around an axis. The main difference is the direction of motion - linear momentum is in a straight line, while angular momentum is in a circular motion. This difference impacts the motion of objects by determining how they move and interact with their surroundings. Objects with linear momentum will continue moving in a straight line unless acted upon by an external force, while objects with angular momentum will continue rotating unless a torque is applied to change their direction.
How does the conservation of angular momentum relate to the conservation of linear momentum in a physical system?
The conservation of angular momentum and the conservation of linear momentum are related in a physical system because they both involve the principle of conservation of momentum. Angular momentum is the momentum of an object rotating around an axis, while linear momentum is the momentum of an object moving in a straight line. In a closed system where no external forces are acting, the total angular momentum and total linear momentum remain constant. This means that if one type of momentum changes, the other type will also change in order to maintain the overall conservation of momentum in the system.
When a particle is moving on a circular track of radius r with angular speed W the linear speed of the particle will be?
The linear speed of the particle moving on a circular track can be found using the formula v = r * ω, where v is the linear speed, r is the radius of the circle, and ω is the angular speed of the particle.
How does mass affect angular momentum?
Short answer: Angular momentum is proportional to mass. If you double the mass of an object, you double its angular momentum.Long Answer:Angular Momentum is a characteristic of rotating bodies that is basically analogue to linear momentum for bodies moving in a straight line.It has a more complex definition. Relative to an origin, one obtains the position of the object, the vector r and the momentum of the object, the vector p, and then the angular momentum is the vector cross product, L.L=r X p.Since linear momentum, p=mv, is proportional to mass, so is angular momentum.Sometimes we speak of the angular momentum about the center of mass of an object, in which case one must add all of the bits of angular momentum for all the bits of mass at all the positions in the object. That is easiest using calculus.It should also be said that the moment of inertia, I, is proportional to mass and another way to express angular momentum is the moment of inertia times the angular velocity.
Why a bicycle cannot be balanced without moving?
The wheels of a bicycle will resist changes in their angular momentum when they are spinning, but will not when they are,
Why is angular momentum of a body is equal to the product of its moment of inertia and angular velocity?
Angular momentum about the axis of rotation is the moment of linear momentum about the axis. Linear momentum is mv ie product of mass and linear velocity. To get the moment of momentum we multiply mv by r, r the radius vector ie the distance right from the point to the momentum vector. So angular momentum = mv x r But we know v = rw, so angular momentum L = mr2 x w (w-angular velocity) mr2 is nothing but the moment of inertia of the moving body about the axis of rotation. Hence L = I w.
What is the constent in the field of central force?
In the field of central force, the constant refers to the conservation of angular momentum of a particle moving under the influence of a central force. This constant allows us to analyze the motion of the particle and understand its behavior without explicitly solving the differential equations of motion.
What will happen to the wavelength associated with a moving particle if its velocity is reduced to half?
If the velocity of a moving particle is reduced to half, the wavelength associated with it will remain the same. The wavelength of a particle is determined by its momentum, not its velocity.
