Is it easier to balance a long rod with a mass attached to it when the mass is closer to your hand or when the mass is farther away? It is easier when the mass is closer to your hand. It is equally easy in both cases . It is easier when the mass is farther from your hand.
How does the distribution of mass influence its balance?
The distribution of the mass of an object determines the position of its center of gravity, its angular momentum , and your ability to balance it.
How does mass distribution affect moment of inertia?
Moment of Inertia depends on both the mass and the distribution of the mass. Further away from the axis of rotation, a unit of mass will cause a greater moment of inertia. ... Each point mass has a inertia given by I=mr2 where m is the mass of the point; and r is it’s distance from the axis of rotation.
How does mass affect angular velocity?
Truong-Son N. where I is moment of inertia and ω is rotational velocity. With other variables held constant, as mass increases, angular momentum increases. Thus, mass is directly proportional to angular momentum .
Why does the rotational inertia of the rod with the attached mass closer to your hand?
Rotational inertia depends on whether the mass is farther or closer to the point of rotation. ... It is easier for the performer to balance a long rod held vertically with people at the other end because the rotational inertia is greater. The center of gravity of a basketball is located...
Is it easier to balance a long rod with a mass attached to it when the mass is closer to your hand or when the mass is farther away view available hint S Is it easier to balance a long rod with a mass attached to it when the mass is closer to your hand or when the mass is farther away it is equally easy?
Rotational inertia depends on whether the mass is farther or closer to the point of rotation. The closer the mass is, the higher the rotational inertia . ... It is easier for the performer to balance a long rod held vertically with people at the other end because the rotational inertia is greater.
Is angular momentum always conserved?
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 .
Does it get easier or harder to rotate the stick as the mass gets farther from the pivot point?
it is easier to rotate a bar with a mass closer to the rotational point because it is closer to its center of mass and the lever arm is longer.
Where is a person’s center of mass?
The center of mass of the human body depends on the gender and the position of the limbs. In a standing posture, it is typically about 10 cm lower than the navel , near the top of the hip bones.
What is meant by mass distribution?
In physics and mechanics, mass distribution is the spatial distribution of mass within a solid body . In principle, it is relevant also for gases or liquids, but on earth their mass distribution is almost homogeneous.
Is inertia dependent on mass?
The tendency of an object to resist changes in its state of motion varies with mass. Mass is that quantity that is solely dependent upon the inertia of an object. The more inertia that an object has, the more mass that it has. A more massive object has a greater tendency to resist changes in its state of motion.
What is the difference between mass and moment of inertia?
Mass is a property of an object that quantifies how much matter the object contains. Mass is an absolute quantity and is a measure of inertia. ... If a body is in rotational motion , the inertia is known as the moment of inertia. Note: An object’s tendency to resist changes in its state of motion changes with mass.
Does moment of inertia depend on mass?
The moment of inertia depends not only on the object’s mass , but also the distribution of that mass in relation to the axis of rotation. When an ice skater in a spin pulls their arms in, their mass stays the same, but their moment of inertia decreases.
Is angular momentum dependent on mass?
Angular momentum is proportional to the moment of inertia , which depends on not just the mass of a spinning object, but also on how that mass is distributed relative to the axis of rotation. ... This leads to some interesting effects, in terms of the conservation of angular momentum.
Is angular frequency affected by mass?
The angular frequency depends only on the force constant and the mass , and not the amplitude.
Does tangential velocity change with mass?
There is a tangential component to the tension, constantly increasing , which serves to speed up the rotation of the mass. This tangential force speeds up the mass’s rotation, until the mass is rotating faster than your hand. Then the mass gets ahead, and your hand slows it down, and so on.
