Questions tagged [centripetal-force]

any force responsible for maintaining an object on a curved path around a fixed center. In introductory coursework this is usually "uniform circular motion" and yields several simple and useful relations. Not to be confused with the centrifugal pseudo-force experienced in an accelerated referenced frame.

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Apparent weight due to the rotation of earth

My concern here is that, if you were to calculate the apparent weight of an object due to earth's rotation at the equator, most text books use centripetal force and it works totally fine, but when it ...
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Deriving normal acceleration in a uniform circular motion using limits

I came up with the following "derivation" of the centripetal acceleration formula, $ a=\frac{v^2}{r}.$ It's obviously wrong, but I can't find the error. Consider the following figure: Let $...
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Acceleration calculation for an object with is rotating about it's COM and it's COM is revolving about another object

I am confused with Pseudo force and circular motion. Let's say a satellite is revolving in a circular orbit about a planet (Gravity is providing the centripetal acceleration). Now, an object (say A) ...
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Under the influence of an external horizontal force, when is the velocity of a pendulum Bob maximum? [closed]

I was asked this question (see image below) in a test The answer to this question is (A) 37° and the reasoning was: Speed of the Bob is maximum when the resultant of F and mg is opposite to the ...
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Would this electric drive work? [closed]

The drive leverages General Relativity's equivalence between matter and energy, paired with centripetal force. There is a conducting (probably super conductor) ring, think of it like a hamster wheel, ...
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Vector form of centrepetal force

We know the centripetal force $F_c$ had magnitude $m\omega^2r$. But let's try to write it in vector form. First of all,since it is directed along the radius,the unit vector in radial direction in this ...
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What is the action pair of normal reaction in case of bike riding along a curved vertical wall

I was reading about a situation in my brother’s physics textbook where a bike is riding along a curved vertical surface. It’s mentioned there that normal reaction provides the centripetal force and ...
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Circular motion of proton in special relativity

Consider a proton in uniform circular motion in a plane perpendicular to a magnetic field. The Lorentz force acts as the required centripetal force. At a low speed, we have $\frac{m\cdot v^2}{r}=B\...
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In the calculation of precession of Mercury or in the Kepler problem, how can we evaluate a definite integral by using a contour integral

In the calculation of Mercury using perturbation, we have to evaluate the integral: $$ \delta \phi =-\frac{GMm}{2a^3}\sqrt{\frac{m}{2E}}\frac{\partial}{\partial J}\int^{r_{max}}_{r_{min}}\frac{r^3 dr}{...
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Centripetal Force question

Since no work is done in circular motion due to no change in kinetic energy (constant speed) and force being 90 degrees from displacement(centripetal force). Does that mean changing an object's ...
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Why do we take $N = mg - mv^2/r$ opposed to $N = mg + mv^2/r$

So while solving this problem, the solution assumes the normal force to be $$N = mg - mv^2/r$$ But I've learnt that centripetal force isn't any new force and it's an already existing force acting ...
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The resultant force on a simple pendulum bob

At the equilibrium position of an oscillating pendulum, its acceleration is momentarily zero as the velocity reaches its maximum value. Does this mean that at the equilibrium position the resultant ...
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Centripetal acceleration in rotational and translational motion

How do you find the centripetal acceleration of any point on a body performing both rotational and translational motion. For example, in pure rolling if we find centripetal acceleration of the topmost ...
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Heavy mass vs light mass in circular motion

If I have 2 spheres with different mass in a spinning Y shaped tube(no water is in the tube),                                                              which one will go higher because of inertia ...
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The acceleration of a train where a suspended mass from a string from the trains ceiling makes an angle θ with the vertical [closed]

There is a mass suspended by a string from the ceiling of an accelerating train. The string makes and angle $\theta$ with the vertical as the train uniformly accelerates along a horizontal track. The ...
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Object moving down an inclined plane and an object moving along a banked road [duplicate]

Why is the normal force of an object sliding down an inclined plane equal to mgcos(θ), whereas for an object moving along a banked road, the normal force of the object is mg/cos(θ)? Also, in some ...
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What is the centripetal force when a bar rotates about its center of mass?

Scenario 1: The centripetal force acting on the ball towards the center of rotation is $\frac{mv^2}{r}$, where $m =$ mass of the ball, $v =$ magnitude of the instantaneous linear velocity of the ball,...
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Centripetal force to charge carriers in curved conductors

Suppose we applied an emf across a circular conductor, then the electrons inside the conductors would drift to the positive side But how does the electrons get centripetal force? Firstly, I ...
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Work of the tension acting as the centripetal force in a circular motion of varying radius

Consider this arrangement: A point mass (its mass being $m$) is executing uniform circular motion on a frictionless horizontal plane. A string passing through the center of the circle and attached to ...
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Motion along circular surface [closed]

The question goes as follows (translated): An object slides down a circular path with radius $r$ . The object has its maximum speed $v$ when the slope of its trajectory is $α$. Find an expression for ...
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4 answers
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Gravitational force, centrifuge?

So after going through 5 pages on google on why and how a centrifuge separates out particles of different densities, I still don't quite get this. If Galileos statement is right that force can be ...
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Work of a spaceship in circular motion

Say a spaceship is traveling though space in a uniform circular motion. It's not orbiting any planet, it just flies in circles in an empty space. The only force working on the spaceship would be the ...
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How to understand what causes the centripetal force in this situation and what would be the direction of those forces and the centripetal acceleration [closed]

A table with smooth horizontal surface is turning at an angular speed $ω$ about its axis. A groove is made on the surface along the radius and a particle is gently placed at a distance $a$ from the ...
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Why does a motorcycle turns when it is leaning?

I have been some discussion about this topic but everytime people ends talking about counter steering and leaning in order to compensate for the centripetal force and don't fall, but those are not my ...
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Centrifugal force effect in a rotating frame of reference

If the centrepital force doesn't exist in a rotating frame of reference, then in this frame perspective, how can we explain why a ball tied to a string following a circular motion not to be pushed ...
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How do we find the centripetal forces of 3 planets revolving around a point given that they have the same mass?

Let's say we have three planets revolving around a point. We know that the force of gravity acting on all of these planets can be taken from $g = G{m_1m_2 \over r^2}$. We can derive the velocity of ...
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Friction and centripetal force [closed]

Let us imagine that some object (A car possibly) is moving in a circular path. At some point of time let's say that the driver of car made a turn in order to follow the circular motion. Now my ...
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Why does the time of rotation only rely on the angle and the length of the string?

My question is in the title. How does the time of rotation in this example have nothing to do with speed? Intuitively, if the bob is going at a faster constant speed the time of rotation would be much ...
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Which is true: objects keep spinning because of inertia, or objects keep spinning because of centripetal force?

I'm hoping any gravity or friction can be ignored. I gather a spinning object is a non-inertial frame. I suppose that's because change of direction is acceleration. Continued acceleration requires ...
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Angular momentum and torque meaning

I am trying to understand torque and angular momentum. I faced the following problems but couldn't find an answer in my textbook or internet: why is torque equal to vector product of force and ...
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How do you find the angular velocity required to keep a constant distance $r_0$ between two unequal spherical masses?

I am having trouble coming up with this solution. Here is where I am at. I defined two variables, $r_1$ and $r_2$, where the former is the distance between $m_1$ and the center of mass, and the latter ...
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The centripetal force direction on hill and valley

A car is driven at constant speed over a circular hill and then into a circular valley with the same radius. At the top of the hill the normal force on the driver from the car seat is 0. The driver's ...
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What is the relationship between the number of turns of an unwinding pendulum and its radius of motion?

For a pendulum wound around a vertical pole and let go, the largest horizontal distance between the pendulum bob and the pole is r. As the number of times the pendulum is wound around the pole ...
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Why Normal force is not adjusted if we increase or decrease the speed of car on frictionless banked road?

Normal force is a self adjusting force. It is responsible for circular motion on a frictionless banked road. But for a given radius, there is a specific value for velocity at which circular motion can ...
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Why Doesn't Centripetal Force Counteract the Deflection of a Blade?

There was a similar question posted on this topic previously where it was agreed that the deflection of a rotating blade was decreased once the blade began rotating due to the centrifugal force. But I ...
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Frictional forces on banked curve

I am quite confused when I consider the frictional force for an object moving around a banked curve. I understand that the direction of friction changes from pointing up the slope to down the slope as ...
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Angular velocity and banking angle

In a swing ride in an amusement park, the angle and speed of a seat in circular motion can be modelled by the banking angle equation: $$\tan \theta=\frac{r\omega^2}{g}$$ Since tan of $90^{\circ}$ or $\...
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Man on a railroad car [closed]

I have the following problem: (taken from Introduction to mechanics, Daniel Kleppner, problem 6.6) A man of mass $M$ stands on a railroad car that is rounding an unbanked turn of radius $R$ at speed $...
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Centrifugal Force: Why is it so real even from non-inertial frame? [closed]

I have thought about this for quite an amount of time. The questions: (1) Suppose we tie a ball on a merry go round with a string. Now, we observe the ball from the merry go round and from the ground. ...
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Rotation about axis of rigid body

Consider a rigid body rotating about a given axis then each of its particle is undergoing a circular motion. Then which is the force that provides centripetal acceleration.
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Force required to keep a car from sliding out of a curve

I am a high school student trying to get an intuitive understanding of centripetal and centrifugal forces. I can calculate the correct solution but I don't understand the meaning of it. In class today ...
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Does the formula $v = \sqrt{GM/r}$ work for elliptical planetary orbits?

Suppose we have a central mass $M$ and a smaller mass $m$ orbiting around the central mass in an ellipse: The other point is the other focus. We know that elliptical orbits have the central mass in ...
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Work done by a body moving in a cicular path

My book has a question: A man is running along a circular path of radius $7$ m and comes to rest after travelling a distance of $45$ m. What is the work done by the man? The options are (a)$>0$ (...
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For a spacecraft orbiting a planet, orbital speed is inversely proportional to orbit radius. But speed must be increased to increase orbit radius?

For a spacecraft in orbit with radius $r$ with speed $v$ around a planet, centripetal force $F_C$ is provided by gravity: $$\frac{GmM}{r^2}=\frac{mv^2}{r},$$ which simplifies to $$\frac{GM}{r}=v^2.$$ ...
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Forces involved in this circular motion system

As seen in the image, this system involves a small mass revolving attached to a string which is anchored with a larges mass. However, investigating this made me wonder how this system is in ...
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Increasing the speed of satellite to raise an orbit

Suppose we have a satellite orbiting the Earth in an elliptical-closed orbit. When the satellite reaches the perigee, its velocity is increased in the cross-radial direction. According to all the ...
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Conceptual Question: What would happen to satellites orbiting the earth if mass of earth suddenly increases? [closed]

Would the satellite crash onto the earth? If so, why, and in what kind of motion? A spiral motion sounds intuitive, but why? Or there is another possibility: will the satellite continue to execute ...
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Does the static friction act towards the center of a path when a cyclist bends?

Suppose, a cyclist is moving on a path. Now, static friction can provide the necessary centripetal force when the cyclist wants to take a turn. However, if the static friction can't provide the ...
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Why is the force we experience the normal force and not the net force?

I was doing some circular motion questions, and in every example to calculate a person's apparent weight/force that they experience, you find the normal force. For example when you're at the top of a ...
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How Does An Object Move With a Constant Speed When Travelling on a Circle Segments

I'm experiencing extreme confusion. We are taught that centripetal acceleration exists when an object is in uniform circular motion, and that implies that the object has a constant speed. How then, ...
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