- #1
pedro_crusader
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- Homework Statement
- I need to understand where the very first equation comes from?
- Relevant Equations
- torque?
Torques acting on a cylinder, with friction
- Thread starter pedro_crusader
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- Torque
In summary, the study of torques acting on a cylinder with friction involves analyzing the forces that cause rotational motion while considering the opposing effects of friction. The net torque is calculated by taking into account both the applied forces and the frictional forces that resist motion. This analysis is crucial for understanding the dynamics of a cylinder in various applications, such as machinery and engineering systems, where friction plays a significant role in determining the efficiency and stability of motion.
- #2
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Please describe the problem in detail not just part of the proffered solution. What is going on here? It looks like you have a rolling cylinder that is dragging a rod at the end of which is a plate with friction. However, this is only a guess and we do not like guessing if it can be avoided.
Furthermore, what do all these labeled arrows represent, especially the curvy arrows labeled ##\beta## and ##\omega##? Again, we do not like guessing.
That said, yes, the first equation looks like a torque equation. Where it comes from depends on details that we do not have.
Furthermore, what do all these labeled arrows represent, especially the curvy arrows labeled ##\beta## and ##\omega##? Again, we do not like guessing.
That said, yes, the first equation looks like a torque equation. Where it comes from depends on details that we do not have.
FAQ: Torques acting on a cylinder, with friction
1. What is torque and how is it calculated for a cylinder?
Torque is a measure of the rotational force acting on an object. For a cylinder, torque (τ) can be calculated using the formula τ = r × F, where r is the radius of the cylinder and F is the force applied perpendicular to the radius. If the force is applied at an angle, the effective torque can be calculated using τ = r × F × sin(θ), where θ is the angle between the force vector and the radius vector.
2. How does friction affect the torque on a cylinder?
Friction acts as a resisting force that opposes the motion of the cylinder. It can reduce the net torque acting on the cylinder by opposing the applied torque. The frictional torque can be calculated as τ_friction = μ × N × r, where μ is the coefficient of friction, N is the normal force, and r is the radius. The net torque on the cylinder is then the applied torque minus the frictional torque.
3. What are the types of friction that can act on a cylinder?
There are two main types of friction that can act on a cylinder: static friction and kinetic friction. Static friction occurs when the cylinder is not moving and prevents it from starting to rotate, while kinetic friction occurs when the cylinder is already in motion. The coefficient of static friction is usually higher than that of kinetic friction, meaning it requires more force to initiate motion than to maintain it.
4. How can I determine if a cylinder will start to rotate under an applied torque?
To determine if a cylinder will start to rotate, compare the applied torque to the maximum static frictional torque. If the applied torque exceeds the maximum static frictional torque (τ_applied > τ_static), the cylinder will start to rotate. The maximum static frictional torque can be calculated using τ_static = μ_s × N × r, where μ_s is the coefficient of static friction and N is the normal force.
5. What factors influence the amount of torque required to rotate a cylinder?
The amount of torque required to rotate a cylinder is influenced by several factors, including the radius of the cylinder, the magnitude of the applied force, the angle at which the force is applied, the coefficient of friction between the cylinder and the surface, and the mass of the cylinder, which affects the normal force. Additionally, any resistance due to internal friction or mechanical constraints can also play a role.