Why should you not leave the top drawers of a heavy cabinet open while the others are closed ? Answer B: Objects are stable if a vertical line dropped from their COM goes through the base of the object. Leaving the top drawers open makes it look like the Γ shape on previous slide.
- How does mass distribution affect moment of inertia?
- What does the rotational inertia describe?
- Which has more rotational inertia a bicycle wheel or a solid disk of the same mass and diameter?
- What is the law of inertia for rotating systems in terms of angular momentum?
- How do the axis of rotation affect the rotation of the pole?
- What happens when the line of action passes through the axis of rotation?
- When you carry a heavy load with one arm Why do you tend to hold your free arm away from your body?
- Which object has more rotational inertia a disc or a ring explain why?
- What is meant by moment arm?
- What does rolls without slipping mean?
- What do you think will happen to the moment of inertia of an object if the distance is doubled?
- Why does an object rotate about its center of mass?
- How does mass distribution affect acceleration down a ramp?
- Does density affect inertia?
- How do the axes of rotation affect the rotation of the pole hint relate it to the moment of inertia?
- Why does a hoop have greater inertia than a disk?
- Why a ring has a greater moment of inertia?
- What rolls faster a disk or a ring?
- When a wrench is slid spinning over a frictionless tabletop its center of gravity follows?
- When the line of action of the force passes through the axis of rotation the torque is?
- When the line of action of the applied force passes through the pivot point then its torque is?
- Why does a force directed through an axis of rotation produce no torque?
- Why has the Earth's spin slowed?
- What happens during earth's rotation?
How does mass distribution affect moment of inertia?
Indeed, the rotational inertia of an object depends on its mass. It also depends on the distribution of that mass relative to the axis of rotation. When a mass moves further from the axis of rotation it becomes increasingly more difficult to change the rotational velocity of the system.
What does the rotational inertia describe?
Rotational inertia is a measure of the resistance of an object to changes in its angular velocity. Imagine applying a known torque to an object. While applying the torque, measure the angular acceleration. The smaller the resulting angular acceleration, the larger the object's rotational inertia.
Which has more rotational inertia a bicycle wheel or a solid disk of the same mass and diameter?
inertia. Which has more rotational inertia, a bicycle wheel or a solid disk of the same mass and diameter? the wheel.
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What is the law of inertia for rotating systems in terms of angular momentum?
What is the law of inertia for rotating systems in terms of angular momentum? Angular momentum does not change without an applied internal torque. Angular momentum does not change without a change in rotational inertia.
How do the axis of rotation affect the rotation of the pole?
Earth's axis of rotation itself rotates, or precesses, completing one circle every 26,000 years. Consequently, Earth's North Pole points toward different stars (and sometimes toward empty space) as it travels in this circle.
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What happens when the line of action passes through the axis of rotation?
It is important to note that there must be a moment arm for a force to cause a rotation. If the line of action of the force passes through the axis, then no rotation will occur. Torque is essential for human movement because it is what creates movement at joints.
When you carry a heavy load with one arm Why do you tend to hold your free arm away from your body?
When you carry a heavy load—such as a pail of water—with one arm, why do you tend to hold your free arm out horizontally? Answer: You tend to hold your free arm outstretched to shift the CG of your body away from the load so your combined CG will more easily be above the base of support.
Which object has more rotational inertia a disc or a ring explain why?
For example, if we compare the rotational inertia for a hoop and a disc, both with the same mass and radius, the hoop will have a higher rotational inertia because the mass is distributed farther away from the axis of rotation.
What is meant by moment arm?
A moment arm is simply the length between a joint axis and the line of force acting on that joint. Every joint that is involved in an exercise has a moment arm. The longer the moment arm is the more load will be applied to the joint axis through leverage.
What does rolls without slipping mean?
Rolling without slipping is a combination of translation and rotation where the point of contact is instantaneously at rest. When an object experiences pure translational motion , all of its points move with the same velocity as the center of mass; that is in the same direction and with the same speed.
What do you think will happen to the moment of inertia of an object if the distance is doubled?
Therefore, if the distance of a point mass from the axis is doubled, then the moment of inertia will be quadrupled. If the mass is doubled, then the moment of inertia will also be doubled.
Why does an object rotate about its center of mass?
The point about which the object rotates is initially offset from the center of mass. However, as time progresses, it tends towards the center of mass as it tries to find the path of least resistance. Rotation about the center of mass provides this least resistance.
How does mass distribution affect acceleration down a ramp?
The object rotates about its point of contact with the ramp, so the length of the lever arm equals the radius of the object. This result says that the linear acceleration of the object down the ramp does not depend on the object's radius or mass, but it does depend on how the mass is distributed.
Does density affect inertia?
The inertia of a body depends on mass, but not on density.
How do the axes of rotation affect the rotation of the pole hint relate it to the moment of inertia?
Moment of inertia is proportional to an objects mass and to it's distance from the rotational axis squared. The distance from the rotational axis dominates over the objects mass due to the square power. Thus the more mass an object has at it's 'edges' the more moment of inertia it has.
Why does a hoop have greater inertia than a disk?
I know that a hoop should have a higher rotational inertia than a solid disk because its mass is distributed further from the axis of rotation.
Why a ring has a greater moment of inertia?
A ring has greater moment of inertia than a circular disc of same mass and radius, about an axis passing through its centre of mass perpendicular to its plane, because. Answer: A ring has a larger moment of inertia because its entire mass is concentrated at the rim at a maximum distance from the axis.
What rolls faster a disk or a ring?
It is shown that the one that reaches the bottom first depends not on the mass or radius, but on the shape. To illustrate this further, a wooden disk, clad with a metal ring, rolls down faster than the hoop but slower than the wooden disk. and we see that the disk rolls faster and thus reaches the bottom first.
When a wrench is slid spinning over a frictionless tabletop its center of gravity follows?
When a wrench is slid spinning over a frictionless tabletop, its center of gravity follows... a regular straight-line path. You just studied 29 terms!
When the line of action of the force passes through the axis of rotation the torque is?
The magnitude of torque produced by a force passing through the line of action of the force and intersecting axis of rotation will be. always non-zero.
When the line of action of the applied force passes through the pivot point then its torque is?
If the line of action of a force passes through the pivot point; the body will have no angul The torque acting On a body is equal to the applied force times the perpendicular distance A net torque will cause body to increase its angular velocity but not its moment of inert If the SUm of all forces acting O a body is ...
Why does a force directed through an axis of rotation produce no torque?
A force directed through an axis of rotation produces no torque, because the force's moment arm is zero.
Why has the Earth's spin slowed?
But why is the Earth's spin slowing down? It's because the Moon exerts a gravitational pull on the planet, which causes a rotational deceleration since the Moon is gradually pulling away. For billions of years, the moon has been ever so gently tugging at the Earth and slowing down its rotation.
What happens during earth's rotation?
Rotation causes the day-night cycle which also creates a corresponding cycle of temperature and humidity creates a corresponding cycle of temperature and humidity. Sea level rises and falls twice a day as the earth rotates. The tidal range is determined by the combined gravitational pull of the sun and moon.
