Circular Motion Problem: An Adventure inside Spinning Cylinders

In summary, the problem involves a person stuck to the inner wall of a rotating cylinder and requires finding the minimum coefficient of static friction to prevent sliding. The relevant equation is Fnet = (4m∏^2R)/T^2. The frictional force must be equal to or greater than the gravitational force for the person to not slide.
  • #1
victoration1
7
0

Homework Statement



A 60.0 kg person is stuck against the inner wall of a rotating cylinder.
The radius of the cylinder is 10.0 m and the period is 2.00s. What is the
minimum coefficient of static friction required to stop him from sliding?


Homework Equations



Fnet = (4m∏^2R)/T^2



The Attempt at a Solution



Tried to understand the problem; could not even. What is the condition for not sliding?
 
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  • #2
victoration1 said:

Homework Statement



A 60.0 kg person is stuck against the inner wall of a rotating cylinder.
The radius of the cylinder is 10.0 m and the period is 2.00s. What is the
minimum coefficient of static friction required to stop him from sliding?

Homework Equations



Fnet = (4m∏^2R)/T^2

The Attempt at a Solution



Tried to understand the problem; could not even. What is the condition for not sliding?
"What is the condition for not sliding?"
The frictional force needs to be great enough to cancel the gravitational force.​
 

Related to Circular Motion Problem: An Adventure inside Spinning Cylinders

1. What is circular motion?

Circular motion is the movement of an object along a circular path. This type of motion is characterized by a constant distance between the object and a fixed point, known as the center of the circle, and a continuous change in direction.

2. How is circular motion related to spinning cylinders?

Spinning cylinders involve circular motion because the particles inside the cylinder move along a circular path as the cylinder spins. This creates centrifugal force that pulls the particles towards the outer edge of the cylinder.

3. What is the Coriolis effect and how does it affect circular motion?

The Coriolis effect is a phenomenon that occurs when a moving object on a rotating surface experiences a force that is perpendicular to its direction of motion. In circular motion, this effect causes objects to follow curved paths instead of straight lines, as observed in the spinning cylinders problem.

4. How does the radius of the cylinder affect circular motion inside it?

The radius of the cylinder affects the speed of circular motion inside it. As the radius increases, the speed of the particles inside the cylinder also increases. This is because the particles have to travel a longer distance to complete one revolution around the cylinder.

5. What are some real-life applications of circular motion?

Circular motion is commonly observed in various real-life scenarios, such as the orbit of planets around the sun, the motion of a spinning top, and the movement of a Ferris wheel. It is also utilized in machines such as centrifuges and in sports like figure skating and gymnastics.

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