How difficult is it to rotate a particular object ? The answer depends on the shape of the object and where the object’s mass is concentrated. So, for example, the amount of inertia is fairly slight in a wheel with an axis in the middle. All the mass is evenly distributed around the pivot point, so a small amount of torque on the wheel in the right direction will get it to change its velocity. However, it’s much harder, and the measured moment of inertia would be greater, if you tried to flip that same wheel against its axis, or rotate a telephone pole.
An object in motion will maintain its state of motion. The presence of an unbalanced force changes the velocity of the object. Suppose that there are two seemingly identical bricks at rest on the physics lecture table. Yet one brick consists of mortar and the other brick consists of Styrofoam. Without lifting the bricks, how could you tell which brick was the Styrofoam brick? You could give the bricks an identical push in an effort to change their state of motion.
By increasing the radius from the axis of rotation, the moment of inertia increases thus slowing down the speed of rotation. Torque tends to increase the rotational inertia of the object. Torque tends to increase the linear speed of the object. Torque tends to twist or change the state of rotation of the object. The distance of each particle from the axis of rotation is dependent on the shape and size of the object.
The moment of inertia provides the relationship for dynamics of rotational motion. The moment of inertia can be calculated with respect to the axis of rotation of the particles. As we might expect, the larger the torque is, the larger the angular acceleration is. For example, the harder a child pushes on a merry-go-round, the faster it accelerates. Furthermore, the more massive a merry-go-round, the slower it accelerates for the same torque.
In this problem we have to determine the factors on which the moment of inertia of an object depends. So here we have the expression for a moment of inertia and according to that the moment of inertia it’s the product of mass and the square of the distance from the axis of rotation. what is the relationship between the kasbah and the medina in a city like rabat? So let’s say we have an object here and let’s say this object is rotating about the axis which is passing through the center of mass. And here we observe that this object is a collection of and point masses. In that case the moment of inertia that will of course depend on the mass.
This will be the brick which offers the most resistance. This very method of detecting the mass of an object can be used on Earth as well as in locations where gravitational forces are negligible for bricks. Inertia is that quantity which depends solely upon mass. Momentum is another quantity in Physics which depends on both mass and speed. A quantity expressing a body’s tendency to resist angular acceleration is called the moment of Inertia.
Above is the solution for “Part A On which of the following does the moment of inertia of an object depend? We hope that you find a good answer and gain the knowledge about this topic of science. Refers to the mass of the HTML2$ particle at a distance #media_tag_3$ of the axis rotation. Mac says that if he flings the Jell-O with a greater speed it will have a greater inertia. Tosh argues that inertia does not depend upon speed, but rather upon mass. According to Newton’s first law, the rock will continue in motion in the same direction at constant speed.