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Yes, infinitesimal angular momentum is a vector quantity. It has both magnitude and direction, representing the rotational motion of an object. In the context of calculus and physics, infinitesimal quantities are used to describe changes in vector quantities over infinitesimally small intervals.
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What is momentam?
The moment of linear momentum is called angular momentum. or The vector product of position vector and linear momentum is called angular momentum.
Is angular momentum a vector quantity?
Yes, angular momentum is a vector quantity because it has both magnitude and direction.
Is angular momentum a vector quantity?
Angular momentum is a vector quantity. Angular velocity, which is a vector quantity, is multiplied by inertia, which is a scalar quantity.
What is the relationship between angular momentum and the cross product in physics?
In physics, angular momentum is related to the cross product through the formula L r x p, where L is the angular momentum, r is the position vector, and p is the linear momentum. The cross product is used to calculate the direction of the angular momentum vector in rotational motion.
What is the dimension of angular momentum?
Angular momentum is a vector quantity and therefore has dimensions of mass multiplied by length squared divided by time. In SI units, the dimension of angular momentum is kg * m^2/s.
What is momentam?
The moment of linear momentum is called angular momentum. or The vector product of position vector and linear momentum is called angular momentum.
Is angular momentum a vector quantity?
Yes, angular momentum is a vector quantity because it has both magnitude and direction.
Is angular momentum a vector quantity?
Angular momentum is a vector quantity. Angular velocity, which is a vector quantity, is multiplied by inertia, which is a scalar quantity.
What is the relationship between angular momentum and the cross product in physics?
In physics, angular momentum is related to the cross product through the formula L r x p, where L is the angular momentum, r is the position vector, and p is the linear momentum. The cross product is used to calculate the direction of the angular momentum vector in rotational motion.
What is the dimension of angular momentum?
Angular momentum is a vector quantity and therefore has dimensions of mass multiplied by length squared divided by time. In SI units, the dimension of angular momentum is kg * m^2/s.
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.
Which component of linear momentum does not contribute to angular momentum?
Angular momentum is defined as the moment of linear momentum about an axis. So if the component of linear momentum is along the radius vector then its moment will be zero. So radial component will not contribute to angular momentum
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 are physical examples of vectors which are perpendicular to their derivatives?
One physical example of a vector perpendicular to its derivative is angular momentum in the case of rotational motion. The angular momentum vector is perpendicular to the angular velocity vector, which is the derivative of the angular displacement vector. Another example is velocity and acceleration in circular motion, where velocity is perpendicular to acceleration at any given point on the circular path.
What is the formula for calculating the angular momentum about a point in a system?
The formula for calculating the angular momentum about a point in a system is L r x p, where L is the angular momentum, r is the position vector from the point to the object, and p is the linear momentum of the object.
How can you find the direction of angular momentum if the position vector and force vector lie on the plane?
By finding the direction of angular velocity because it's always parallel to it.
Is angular momentum always parallel to angular acceleration?
momentum is product of moment of inertia and angular velocity. There is always a 90 degree phase difference between velocity and acceleration vector in circular motion therefore angular momentum and acceleration can never be parallel
