Forces on a Solid Disk: Determining F3

In summary, a solid disk with a mass of 3.6 kg and radius of 2.9 meters is subjected to three forces, F1, F2, and F3. F1 is directed in the positive x direction, F2 is directed in the negative y direction, and F3 is also directed in the negative y direction. The disk rotates 7 times counter-clockwise in 13 seconds and the magnitude of F3 is requested. Using the moment of inertia equation for a disk, I = 1/2 M R2, the magnitude of F3 is calculated to be 96.72 Newtons.
  • #1
Paulie71199
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Homework Statement



Three forces of F1, F2, and F3 are applied to a solid disk with a mass of 3.6 kg and radius of 2.9 meters. F1 is directly above the center of the disk with a magnitude of 47 Newtons directed in the positive x direction, F2 is directly to the right of the center and has a magnitude of 47 Newtons directed in the negative y direction, and F3 is directly to the left of the center and is also directed in the negative y direction. If the disk is initially at rest and then rotates about its center 7 rotations counter-clockwise (positive direction) in a time of 13 seconds, what is the magnitude of F3 in Newtons?

Homework Equations



The moment of inertia for the disk about its center is I = 1/2 M R2.

The Attempt at a Solution



Answer comes to be 96.72. I have no idea how to get that answer
 
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  • #2
Hi Paulie! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

What is a solid disk?

A solid disk is a circular object with a flat surface and a constant thickness. It is often used in scientific experiments to study the effects of forces on a solid object.

What forces can act on a solid disk?

There are several forces that can act on a solid disk, including gravity, normal force, friction, and applied forces such as pushing or pulling. These forces can cause the disk to accelerate, rotate, or remain in a state of equilibrium.

How does the shape of a solid disk affect the forces acting on it?

The shape of a solid disk can affect the distribution and magnitude of forces acting on it. For example, a thicker disk may be able to withstand greater normal forces, while a thinner disk may be more susceptible to bending or breaking under applied forces.

What is the relationship between the force applied and the resulting acceleration of a solid disk?

According to Newton's second law of motion, the force applied to a solid disk is directly proportional to its resulting acceleration. This means that the greater the force applied, the greater the acceleration of the disk will be.

How can the forces acting on a solid disk be calculated and measured?

The forces acting on a solid disk can be calculated and measured using mathematical equations and instruments such as force sensors or dynamometers. These tools can help determine the magnitude and direction of forces acting on the disk, and can be used to analyze the effects of different forces on the disk's motion.

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