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What is the magnitude of the tension in the string when the ball is at the bottom of the circle?
The magnitude of the tension in the string at the bottom of the circle is equal to the sum of the gravitational force acting on the ball and the centripetal force required to keep the ball moving in a circular path.
Do two co-orbiting bodies have equal velocities?
Not necessarily. Two bodies co-orbiting can have different velocities depending on their mass and distance from the central body. The velocities of the bodies would be determined by the balance between gravitational force and centripetal force.
Why can way consider the weight of the hooked masses as equal to the centripetal forces?
The weight of the masses provides the force necessary to keep the masses moving in a circular path, which is the centripetal force. This is due to the tension in the string providing the centripetal force required for circular motion, balancing out the weight of the masses. Thus, one can consider the weight of the hooked masses as equal to the centripetal force in this setup.
How is centripetal force calculated?
Centripetal force is not a force like gravity, which is there for any object with mass in a gravitational field (such as that of the earth, the sun), but a force which must be present in order to move in a circle. There is never a situation where you say "aha, this generates a centripetal force", but if something is moving in a circle (and certain types of ellipse) you can say that one of the forces already present (such as gravity, or tension for a weight on a string) is providing the required centripetal acceleration for circular motion. In practice though, the cheap and dirty trick is just to say the centripetal force is equal to (mass of the moving object x velocity^2) / (the radius of the circle).
What is centripetal equilibrium?
Centripetal equilibrium is the state in which an object moving in a circular path maintains a constant speed while its direction changes continuously. It occurs when the centripetal force required to keep the object moving in a circle is equal and opposite to the outward centrifugal force.
How centripetal force equals to gravitational force?
The centripetal force is equal to the gravitational force when a particular body is in a circle. For a body that is in an orbit, the gravitational force is equivalent to the centripetal force.
What is the magnitude of the tension in the string when the ball is at the bottom of the circle?
The magnitude of the tension in the string at the bottom of the circle is equal to the sum of the gravitational force acting on the ball and the centripetal force required to keep the ball moving in a circular path.
Do two co-orbiting bodies have equal velocities?
Not necessarily. Two bodies co-orbiting can have different velocities depending on their mass and distance from the central body. The velocities of the bodies would be determined by the balance between gravitational force and centripetal force.
Why can way consider the weight of the hooked masses as equal to the centripetal forces?
The weight of the masses provides the force necessary to keep the masses moving in a circular path, which is the centripetal force. This is due to the tension in the string providing the centripetal force required for circular motion, balancing out the weight of the masses. Thus, one can consider the weight of the hooked masses as equal to the centripetal force in this setup.
How do they affect the centripetal force?
If an object moves in a circle, the centripetal acceleration can be calculated as speed squared divided by the radius. The centripetal force, of course, is calculated with Newton's Second Law: force = mass x acceleration. Therefore, the centripetal force will be equal to mass x speed2 / radius.
How is centripetal force calculated?
Centripetal force is not a force like gravity, which is there for any object with mass in a gravitational field (such as that of the earth, the sun), but a force which must be present in order to move in a circle. There is never a situation where you say "aha, this generates a centripetal force", but if something is moving in a circle (and certain types of ellipse) you can say that one of the forces already present (such as gravity, or tension for a weight on a string) is providing the required centripetal acceleration for circular motion. In practice though, the cheap and dirty trick is just to say the centripetal force is equal to (mass of the moving object x velocity^2) / (the radius of the circle).
What is centripetal equilibrium?
Centripetal equilibrium is the state in which an object moving in a circular path maintains a constant speed while its direction changes continuously. It occurs when the centripetal force required to keep the object moving in a circle is equal and opposite to the outward centrifugal force.
What is the relation between centripetal and centrifugal force according to newton third law?
They are equal and opposite.
Why can you consider the weight of the hooked masses as equal to the centripetal force?
The force of gravity on the hooked masses supplies the tension in the string which in turn supplies the centripetal force that keeps the body rotating.It would be better to say that the weight of the hanging masses IS the centripetal force that keeps the body revolving.... and so the two forces are equal because there is really on one force.
How does centripetal acceleration depend upon the object's speed and the radius of the circle?
Centripetal acceleration is directly proportional to the square of the object's speed and inversely proportional to the radius of the circle. This means that as the speed of the object increases, the centripetal acceleration increases, while a larger radius decreases the centripetal acceleration.
What is the relationship between centrifugal and centripetal force in a rotating system?
In a rotating system, centrifugal force is the outward force that pushes objects away from the center of rotation, while centripetal force is the inward force that keeps objects moving in a circular path. These two forces are equal in magnitude but act in opposite directions, working together to maintain the object's circular motion.
What prevent the planets from flying off into space?
The easy answer is gravity. The pull of a star's gravity keeps the planets in orbit in almost equal amounts of centripetal force pulls them away.============================================Another contributor clarified:The answer is 'gravity'. The more massive the body, the more gravity it has."Centripetal force" is any force that pulls awayof the path, such as swinging around a weight attached to a string. The faster you spin it, the heavier it seems to become.
