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Speedking96
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Homework Statement
Below is the question:
I only have an issue with the last step of the problem. Why wouldn't you factor in the translational AND rotational energy of the ball and then solve for maximum height?
Speedking96 said:Why wouldn't you factor in the translational AND rotational energy of the ball and then solve for maximum height?
Conservation of angular momentum is a fundamental principle in physics that states that the total angular momentum of a system remains constant, unless an external torque is applied.
Angular momentum is conserved through the conservation of both linear momentum and angular velocity. In other words, if the mass of a system remains constant, the product of its linear velocity and distance from the axis of rotation must remain constant in order to conserve angular momentum.
Torque is the measure of the force that causes an object to rotate around an axis. In the context of angular momentum, torque is a necessary factor for the conservation of angular momentum. If there is no torque acting on a system, then the angular momentum of the system will remain constant.
One example of conservation of angular momentum is the movement of a spinning top. As the top spins, its angular momentum remains constant unless an external force, such as friction, is applied. Another example is the orbit of planets around the sun. The planets maintain constant angular momentum as they orbit, due to the conservation of angular momentum.
The Law of Inertia, also known as Newton's first law of motion, states that an object at rest will remain at rest and an object in motion will remain in motion unless acted upon by an external force. This law is closely related to conservation of angular momentum, as both principles state that an object will maintain its state of motion unless acted upon by an external force. In other words, angular momentum will remain constant unless an external torque is applied, just as an object will remain at rest or in motion unless acted upon by an external force.