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Mechanics

Mechanics is the branch of physics that deals with the interactions of objects and forces in the observable world. Questions asking about projectile motion, conservation of energy, and calculus based mechanics are perfect for this topic, but questions about repairs that a mechanic would do belong in our vehicles categories.

2,416 Questions

What two quantities does rotational inertia depend on?

The mass, and how it is distributed- how far the masses are on average from the axis of rotation. However, it is the square of the distance that counts in this case.

Example of static friction?

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Which material does sound travel through best?

Dense solids.

Related Information:

Sound waves travel mechanically, by transferring their energy, molecule by molecule, through a transfer medium. So, the more dense the transfer medium (molecules closer to one another), the faster sound energy is transferred.

Different perspective:

Sound travels by vibrating the particles of the medium through which it travels. So sound travels best in steel as the particles are tightly packed, through wood or water but poorly in air, and not at all in a vacuum.

If you swing a washer attached to a string around what is the net force?

The force in this case is defined by F = mv2/r, where m is the mass in kilograms, v is the linear velocity of the object, and r is the radius around which the washer swings.

How is mass and weight are related?

Mass is essentially a measure of the amount of matter an object contains, but more specifically: It is a measure of an object's resistance to accelerate.

Weight is a measure of the amount of force acting on an object, though it is typically associated with gravitational force.

The formula, F = M * A (Force = Mass * Acceleration) relates all three quantities.

An object contains a certain amount of matter, and the more matter it has, the more difficult it is to accelerate the object. This mass is typically measured in grams or kilograms, and it is found by finding the weight of on an object and dividing it by the acceleration (Usually that is gravitational acceleration).

Note that Mass and Weight are NOT the same thing. Weight, in our perspective here on earth, is the acceleration of gravity (9.81 meters per second) times the amount of mass we contain. Therefore, a person with 10 kilograms of mass weighs 98.1 Newtons on earth. If that same person were to be on the moon, their mass would remain the same, as no matter has left them; however, their weight would be smaller because the acceleration of gravity is only 1.62 meters per second on the moon.

As an object's mass increases, it's weight increases as well. However, as an object's weight increases, it does not necessarily mean that its mass is increasing as well, for the magnitude of gravity's acceleration may just be getting larger, but the object may not be gaining any more matter.

In a nutshell: Weight is the measure of the force on an object depending on the mass of said object and the gravity which acts upon it. Mass is the resistance of an object to accelerate, depending on the amount of matter it contains.

Example of sliding friction?

Any object moving at a certain speed relative to the surface with which it is in contact. (A car moving on a road)

What should be the spring constant k of a spring designed to bring a 1200 kg car to rest from a speed of kmh so that the occupants undergo a maximum acceleration of 5.0 g?

Talking about abstract models: springs don't really do that, you would need a damper. Spring (ideal one) would gradually slow the car and then repel it in opposite direction with the exact same velocity and the acceleration/deceleration would be greatest when the car comes to temporary rest. Of course there's no ideal spring and real spring has also properties of damper, but then it cannot be easily described using single abstract value of k.

Also, when modeling crash event, you have to consider the length of deceleration. No damper or spring will save you, when there's no room for deceleration and you have to calculate it.

Let's consider an ideal spring model:

For deceleration to complete(in this case, car gets to momentary rest and then is repelled in opposite direction immediately), car has to transfer all of its kinetic energy(here the maximum)

Ek = mvstart2 / 2 to the spring.

Spring's maximum potential energy is: Ep = kx2 / 2, where x is maximum distance from spring's equilibrium.

We can see that mv2 = kx2, so

mv2 / x = kx.

We also have to take into account the maximum deceleration/acceleration:

mamax <= kx, which we can simplify to only the border case, where:

mamax = kx.

Comparing both equations:

mamax = mv2 / x, so

x = v2 / amax

So, we've established our minimum spring length.

We can put it into second equation, like:

mamax = kv2 / amax, so we get

k = mamax2 / v2, which is our k.

Since you neglected to provide velocity, the best number for k is therefore (1/v2)*2.9X106 kg*m2/s4

Why does tension and compression needed in bending a material?

When you bend a material the fibers at the outer extremes of the material thickness stretch on side ( tension) and shorten on the other side ( compression). At the mid (neutral) plane of the thickness theer is no stretch or shortening, so theer is neithetr tension nor compression there

Does energy has inertia?

Mass has inertia. Energy does not.

How did you arrive to zero net force?

Zero net force is when the forces are balanced and there is no acceleration.

At a constant temperature what is the impact to volume if the pressure is increased?

Volume & pressure are inversely proportionate, if temperature stays constant volume would decrease at a factor proporionate to the increase in pressure.

Examples of oscillating motion?

A wheel, connecting rotating gears.on the other hand when the earth is move to its own axix

A 2-kg book is held 1 m above the floor for 50 s What work is done in J?

The formula for calculating the amount of work done is W = F·s where F is the force against which the work was done and s is the displacement (in this case, height). In this case, instead of knowing the mass of the book we know the weight, which is the force with which Earth pulls the book (and the book pulls Earth). Since we know the force, we can just insert it into the equation directly.

Which mechanism would be used to increase speed?

To increase speed, one effective mechanism is to enhance the efficiency of the propulsion system, such as using more powerful engines or optimizing aerodynamic designs. Additionally, reducing friction through better lubrication or streamlined surfaces can significantly improve speed. In a digital context, optimizing algorithms and reducing processing time can also lead to faster performance.

What is a non concurrent force?

Non concurrent forces are those forces that do not have a common point of intersection and act along different lines of action.