Rotation

Angular momentum is defined as the moment of linear momentum about an axis. So if the component of linear momentum is along the radius vector then its moment will be zero. So radial component will not contribute to angular momentum

Angular momentum is a property that objects possess when they are rotating around an axis. It is defined as the product of an object's moment of inertia and its angular velocity. It plays a crucial role in various scientific fields, including physics and engineering.

Not at all possible. Torque defined as the moment of the force about a point or an axis of rotation. Torque tau vector = radius vector x Force vector. Radius is to be measured only from a given point or given axis. Hence axis in very important

No, typically a Lab Assistant is not considered a Class 3 post. Lab assistants usually fall under lower classifications such as Class 4 or Class 5. Each organization may have different classification systems, so it's best to check with the specific organization for their classification details.

No, the radius of gyration is not a constant quantity. It depends on the distribution of mass and the shape of the object. It is defined as the root-mean-square distance of the objects' parts from its center of mass.

Angular speed is used in machinery to measure the rate of rotation, while angular displacement measures the change in angle of an object. Angular velocity helps in determining the speed at which an object rotates, and angular momentum is crucial for understanding the rotational motion of objects like spinning tops or planets. Overall, these concepts are important in physics, engineering, and various mechanical systems to analyze and predict rotational behavior.

Artificial gravity is created by simulating the effects of gravity through centrifugal force. Centripetal force is the inward force that keeps an object moving in a circular path. In the context of artificial gravity, centripetal force is what creates the sensation of gravity by pushing objects towards the center of rotation.

The rotating object's moment of inertia.

Similar to Newton's Second Law, commonly quoted as "force = mass x acceleration", there is an equivalent law for rotational movement: "torque = moment of inertia x angular acceleration". The moment of inertia depends on the rotating object's mass and its exact shape - you can even have a different moment of inertia for the same shape, if the axis of rotation is changed. If you use SI units, and radians for angles (and therefore radians/second2 for angular acceleration), no further constants of proportionality are required.

Linear velocity is directly proportional to the radius of the rotating object and the angular velocity. This relationship is described by the equation v = ω * r, where v is the linear velocity, ω is the angular velocity, and r is the radius.

Conservation of angular momentum states that the total angular momentum of a system remains constant in the absence of external torques. This principle is important in understanding the behavior of rotating objects in physics and plays a key role in areas such as orbital motion of planets and stars, gyroscopic stabilization, and the motion of spinning objects. It helps to predict the rotational motion of objects and systems based on initial conditions without the need to consider all the complex forces acting on them.

Assuming that angles are measured in radians, and angular velocity in radians per second (this simplifies formulae):

Radius of rotation is unrelated to angular velocity.

Linear velocity = angular velocity x radius

Centripetal acceleration = velocity squared / radius

Centripetal acceleration = (angular velocity) squared x radius

Centripetal force = mass x acceleration = mass x (angular velocity) squared x radius

The strength of the Coriolis force is influenced by the speed of the object or fluid and the latitude at which it is moving. Faster moving objects and those at higher latitudes will experience a stronger Coriolis force.

Because there is no centrifugal force. The force of circular motion is inward, thus centripetal. If you are on a car that makes a quick right turn, you feel a "centrifugal" force leftward. But in reality, it is the car making an acceleration to the center of the curve, which is to your right. What you feel is inertia, not a force.

Clockwise, top rotating to the right, and counterclockwise, top rotating to the left is only a perspective based on the position of the observer. The torque is the rotational force of the rotating object. Most often the perspective of the observer is from the driving end of a shaft facing the driven machine. The amount of torque at a given speed of the driving machine (engine or motor) is mechanically converted into work by the driven machine (generator, pump, compressor...etc.).

Whirling a hammer with a longer chain requires more force due to the increased inertia of the longer chain, making it harder to achieve the necessary speed and control to keep the hammer moving in a circular motion. The weight of the hammer at the end of a longer chain also creates a larger centripetal force that needs to be countered by the person whirling it, adding to the difficulty.

External bending moment is a force applied to a structural member that causes it to bend. It results in a combination of tensile and compressive stresses on the material of the member. External bending moments are important considerations in the design of beams and other structural elements to ensure their ability to resist bending and carry loads.

No, revolution and rotation are not the same. Revolution refers to an object's motion around an external point or axis, while rotation refers to an object spinning around its own axis. Rotation typically occurs within the object itself, while revolution involves movement around an external point or center.

Angular momentum about the axis of rotation is the moment of linear momentum about the axis. Linear momentum is mv ie product of mass and linear velocity. To get the moment of momentum we multiply mv by r, r the radius vector ie the distance right from the point to the momentum vector. So angular momentum = mv x r

But we know v = rw, so angular momentum L = mr2 x w (w-angular velocity)

mr2 is nothing but the moment of inertia of the moving body about the axis of rotation.

Hence L = I w.

No, centrifugal acceleration is not a uniform acceleration. It is a type of acceleration that occurs when an object moves in a curved path and experiences an outward force away from the center of rotation. The magnitude of centrifugal acceleration changes as the object's speed or radius of rotation changes.

The angle between the linear velocity and angular velocity of a particle moving in a circle is typically 90 degrees. This means that they are perpendicular to each other.

say mass(m) = 10 kg, radius(r) = 10 m, say friction coefficient = 0.5

force to break friction = 10 * 0.5 = 5 kgf = say 50 n

to find acceleration required to produce this force use f=m*a, shuffle to a = f / m

so a = 50 / 10 = 5 (m/s)/s, install in a = v^2 / r, so 5 = v^2 / 10,

so 10 * 5 = v^2, so sq. root 50 = v, so v = 7.07 metres / second

if friction coefficient and radius remain the same, altering the mass wont alter the velocity at breakaway point

It means how fast something rotates. Rather than taking the linear speed (meters per second, or some other common unit of speed), the angular velocity is specified in radians per second, degrees per second, revolutions (full turns) per minute, or something similar. By this definition, each part of a solid, rotating object rotates at the same angular speed.

The pendulum bob comes to rest due to air resistance and friction in the pivot point, which gradually slows down its motion. Additionally, energy is transferred from kinetic energy to other forms of energy like heat, causing the pendulum to eventually stop swinging.