In a spring-mass oscillator, when is the magnitude of momentum of the mass largest: when the magnitude of the net force acting on the mass is largest, or when the magnitude of the net force acting on the mass is smallest?
The magnitude of the momentum of mass is largest when the magnitude of the net force acting on the mass is largest.
A spring-mass system is a spring system with a block hanging or connected at the free end. Any item executing a basic harmonic motion may generally be found using the spring-mass system.
Expression for the spring-mass system
Where is the mass of an object, is the displacement of an object, is the stiffness of spring, and is the force applied to the object.
As the above equation shows, as the momentum of mass is largest, then the net force acting on the mass is largest.
Thus, in a spring-mass oscillator, the magnitude of the momentum of mass is largest when the magnitude of the net force acting on the mass is largest.
Suppose you attempt to pick up a very heavy object. Before you tried to pick it up, the object was sitting still its momentum was not changing. You pull very hard, but do not succeed in moving the object. Is this a violation of the momentum Principle? How can you be exerting a large force on the object without causing a change in its momentum? What does change when you apply this force?
A ball whose mass is suspended from a spring whose stiffness is . The ball oscillates up and down with an amplitude of . (a) What is the angular frequency role="math" localid="1657731610160" ? (b) What is the frequency? (c) What is the period? (d) Suppose this apparatus were taken to the moon, where the strength of the gravitational field is only role="math" localid="1657731589019" . What would be the period of the Moon? (Consider carefully how the period depends on properties of the system, look at the equation.)
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