Mass whirling on table pulled by string through center

In summary: Slowly means that you ignore the radial acceleration and deceleration related to the change in the radial velocity.Under this assumption, what is the acceleration of the mass?The acceleration of the mass is given by a_{r}=-r\dot{\theta }^{2}+O(\frac{\ddot{r}}{r\dot{\theta }^{2}}).
  • #36
vela said:
In a rotating frame, that term moves to the other side of F=ma and corresponds to the centrifugal force. See, for example, http://en.wikipedia.org/wiki/Polar_coordinate_system#Centrifugal_and_Coriolis_terms.

The article referenced, particularly the text under the "Co-rotating frame" heading, basically re-iterates what I have been saying all along. I understand that you can move one term in an equation from one side to another, flipping its sign as you go, and that you call that term different names depending on which side of the equation it is on, but I fail to see how that contradicts anything I have said.

Anyway, it seems the OP has long lost interest in this discussion, so I won't debate this any longer.
 
<h2>1. What is the concept of mass whirling on a table pulled by a string through the center?</h2><p>The concept of mass whirling on a table pulled by a string through the center is a physics demonstration that illustrates the principles of centripetal force and circular motion. It involves placing a small object, such as a coin or a ball, on a table and attaching a string to it. The other end of the string is held by a person and they spin the object in a circular motion around the center of the table.</p><h2>2. How does the mass whirling on a table pulled by a string through the center demonstrate centripetal force?</h2><p>The mass whirling on a table pulled by a string through the center demonstrates centripetal force by showing how an object in circular motion experiences a force towards the center of the circle. In this demonstration, the string provides the centripetal force that keeps the object moving in a circular path.</p><h2>3. What factors affect the speed of the mass whirling on a table pulled by a string through the center?</h2><p>The speed of the mass whirling on a table pulled by a string through the center is affected by several factors, including the length of the string, the mass of the object, and the force applied by the person spinning the object. A longer string and a lighter object will result in a faster speed, while a shorter string and a heavier object will result in a slower speed.</p><h2>4. How does the direction of the string affect the mass whirling on a table pulled by a string through the center?</h2><p>The direction of the string affects the mass whirling on a table pulled by a string through the center by determining the direction of the centripetal force. The string must be pulled towards the center of the circle in order for the object to continue moving in a circular path. If the string is pulled at an angle, the object will not move in a perfect circle and may even fly off the table.</p><h2>5. What other real-life examples demonstrate the concept of centripetal force?</h2><p>Other real-life examples that demonstrate the concept of centripetal force include the orbit of planets around the sun, the motion of a roller coaster on a loop, and the swinging of a pendulum. In each of these examples, a force towards the center of the circle is required to keep the object in circular motion.</p>

Related to Mass whirling on table pulled by string through center

1. What is the concept of mass whirling on a table pulled by a string through the center?

The concept of mass whirling on a table pulled by a string through the center is a physics demonstration that illustrates the principles of centripetal force and circular motion. It involves placing a small object, such as a coin or a ball, on a table and attaching a string to it. The other end of the string is held by a person and they spin the object in a circular motion around the center of the table.

2. How does the mass whirling on a table pulled by a string through the center demonstrate centripetal force?

The mass whirling on a table pulled by a string through the center demonstrates centripetal force by showing how an object in circular motion experiences a force towards the center of the circle. In this demonstration, the string provides the centripetal force that keeps the object moving in a circular path.

3. What factors affect the speed of the mass whirling on a table pulled by a string through the center?

The speed of the mass whirling on a table pulled by a string through the center is affected by several factors, including the length of the string, the mass of the object, and the force applied by the person spinning the object. A longer string and a lighter object will result in a faster speed, while a shorter string and a heavier object will result in a slower speed.

4. How does the direction of the string affect the mass whirling on a table pulled by a string through the center?

The direction of the string affects the mass whirling on a table pulled by a string through the center by determining the direction of the centripetal force. The string must be pulled towards the center of the circle in order for the object to continue moving in a circular path. If the string is pulled at an angle, the object will not move in a perfect circle and may even fly off the table.

5. What other real-life examples demonstrate the concept of centripetal force?

Other real-life examples that demonstrate the concept of centripetal force include the orbit of planets around the sun, the motion of a roller coaster on a loop, and the swinging of a pendulum. In each of these examples, a force towards the center of the circle is required to keep the object in circular motion.

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