Rolling Slipping Hoop: Solving for Stopping Time and Direction

In summary, the conversation is about a problem involving a girl throwing a hoop with initial velocity and angular velocity, and determining how long it takes for the hoop to stop slipping and whether it will return to the girl or continue in its original direction. The problem also includes the weight, diameter, and coefficient of friction of the hoop. The homework equations involve torque and its effect on energy.
  • #1
Shuagster
1
0
I have been struggling with this problem for a couple of hours, I have attempted a few things but have not come up with coherent results... Please help...

Homework Statement



A girl throws a thin hoop to the right with an initial velocity of 4ft/s and with initial angular velocity of 4rad/s(counterclockwise). The hoop weighs 1lb with a diameter of 3ft. Determine how long does the hoop take to stop slipping. And does it return to the girl or does it follow it's original direction. The coefficient of friction is 0.3.

Homework Equations



I=MR^2
 
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  • #2
Welcome to PF!

Hi Shuagster! Welcome to PF! :smile:

Hint: what is the torque ? what effect does it have on the energy? :wink:
 

Related to Rolling Slipping Hoop: Solving for Stopping Time and Direction

Question 1: What is a rolling slipping hoop?

A rolling slipping hoop is a physical phenomenon that occurs when a hoop or a circular object is rolling on a surface without slipping. This means that the point of contact between the hoop and the surface is stationary, and the hoop is rotating around this point.

Question 2: What causes a rolling slipping hoop?

A rolling slipping hoop is caused by the interaction between the hoop and the surface it is rolling on. In order for the hoop to roll without slipping, there must be a balance between the forces of friction and the forces of rotation.

Question 3: How does the radius of the hoop affect its rolling slipping motion?

The radius of the hoop plays a significant role in its rolling slipping motion. A larger radius results in a larger point of contact with the surface, which decreases the forces of friction and allows the hoop to roll without slipping more easily.

Question 4: What is the difference between rolling slipping and pure rolling?

In pure rolling, the point of contact between the hoop and the surface is stationary, and the hoop is rotating around this point without any slipping. In rolling slipping, there is slight movement at the point of contact, but the hoop is still rotating without slipping on the surface.

Question 5: What are some real-life applications of a rolling slipping hoop?

A rolling slipping hoop has various practical applications, such as in mechanical engineering for designing gears and wheels, in sports equipment for designing wheels and tires, and in physics experiments to study rotational motion and friction. It is also used in circus acts, such as hula hooping and rolling rings.

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