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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 definition of translatory motion with diagrams?
Translatory motion is the type of motion in which an object moves along a straight line. This motion involves all parts of the object moving in the same direction by the same distance. In a diagram, translatory motion can be represented by showing an object changing its position along a single axis without any rotation or angular displacement.
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.
When there is no external force acting on a body , which physical quantity is conserved?
Angular Momentum. The conserved quantity we are investigating is called angular momentum. The symbol for angular momentum is the letter L. Just as linear momentum is conserved when there is no net external forces, angular momentum is constant or conserved when the net torque is zero.
Is the direction of angular velocity same as that of angular momentum when agular velocity is decreasing?
Yes, suppose a body is rotating anti-clockwise, then its angular velocity and angular momentum, at any moment are along axis of rotation in upward direction. And when body is rotating clockwise, its angular velocity and angular momentum are along axis of rotation in downward direction. This is regardless of the fact whether angular velocity of the body is increasing or decreasing.
Angular momentum is a measure of?
angular momentum is the measure of angular motion in a body.
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 definition of translatory motion with diagrams?
Translatory motion is the type of motion in which an object moves along a straight line. This motion involves all parts of the object moving in the same direction by the same distance. In a diagram, translatory motion can be represented by showing an object changing its position along a single axis without any rotation or angular displacement.
In orbital motion the Angular Momentum of the system is?
In orbital motion, the angular momentum of the system is constant if there is no external torque acting on the system. This is a result of the conservation of angular momentum, where the product of the rotating body's moment of inertia and angular velocity remains constant unless acted upon by an external torque.
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.
When there is no external force acting on a body , which physical quantity is conserved?
Angular Momentum. The conserved quantity we are investigating is called angular momentum. The symbol for angular momentum is the letter L. Just as linear momentum is conserved when there is no net external forces, angular momentum is constant or conserved when the net torque is zero.
Is the direction of angular velocity same as that of angular momentum when agular velocity is decreasing?
Yes, suppose a body is rotating anti-clockwise, then its angular velocity and angular momentum, at any moment are along axis of rotation in upward direction. And when body is rotating clockwise, its angular velocity and angular momentum are along axis of rotation in downward direction. This is regardless of the fact whether angular velocity of the body is increasing or decreasing.
If something shrinks in size but not in mass what happens to its angular momentum?
Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.
What equations link angular and linear momentum If you exert a force on a free floating body it will have angular and linear momentum In what proportions and how are they linked?
angular momentum = linear momentum (of object) x perpendicular distance (from origin to the object) where x stands for cross product. angular momentum = mv x r (perpendicular dist.)
Law of the conservation of angular momentum applies which body?
Law of conservation of momentum applies to any body on which no external torque is acting.
Conservation of angular momentum means that a spinning body tends to?
... to continue spinning.
How do riders in a ferris wheel possess translatory motion but not rotatory motion?
Riders in a ferris wheel possess translatory motion because they are not rotating about their axis and are moving in a curved line without rotation (circular motion)
