A bit of help with vector aproach to mechanics please?

In summary, the conversation discusses a disk with a radius of 0.05m being placed in contact with a conveyor belt moving at a constant speed. The disk is fitted into a slot at a 30 degree angle with the vertical axis. The coefficient of kinetic friction between the disk and the belt is 0.2 and there is no bearing friction. The acceleration and angular acceleration of the center of mass of the disk are requested, along with a free body diagram showing applied forces and equivalent force diagram. Finally, the conversation mentions three equations of motion and using them to determine the angular acceleration while slipping occurs.
  • #1
foxandthehen
13
0
The axis of a disk with radius of 0.05m is fitted into a slot that forms an angle of 30degs with the vertical axis. The disk is at rest when it is placed in contact with a convayor belt moving at contsant speed. The coefficent of kenetic friction between the disk and the belt is 0.2 and there is no bearing friction.

a) Express the acceleration of the center of mass of the body, and its angular acceleration

b) Draw a free body diagram showing the applie forces and the eqivalent force diagram showing the vectror 'ma' or its conponents and 'Ia'

c) Write the three equations of motion and use them to determin the angular acceleration of the disk while slipping occurs.

------------------------

HELP! Where should I start? Any help and advice would be very much apreciated.
 
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  • #2
Has anyone got any ideas yet? I haven't shown my workings as they are all on paper and crazy wrong. Both a friend and I sat down for a few hours yesterday and tried this and another question and got nowhere and its due in for tomorrow! any ideas at all?
 
  • #3
See the other thread (with pic)
 

FAQ: A bit of help with vector aproach to mechanics please?

What is a vector approach to mechanics?

A vector approach to mechanics is a method of solving problems in mechanics using vector algebra and principles of linear motion. It involves breaking down forces and motions into their components and using vector addition and subtraction to determine the overall effect.

How is a vector approach different from a scalar approach in mechanics?

In a scalar approach, forces and motions are treated as quantities with only magnitude, while in a vector approach, they are treated as quantities with both magnitude and direction. This allows for a more accurate and comprehensive analysis of the forces and motions involved.

What are some common applications of vector mechanics?

Vector mechanics is commonly used in fields such as engineering, physics, and astronomy to analyze and solve problems involving forces, motion, and energy. It is also used in computer graphics and game development for realistic simulations of movement and interactions.

How can I improve my understanding of vector mechanics?

To improve your understanding of vector mechanics, it is important to have a solid understanding of vector algebra and principles of linear motion. Practice solving problems and familiarize yourself with common applications of vector mechanics. Additionally, seeking guidance from a teacher or tutor may also be helpful.

Are there any limitations to using a vector approach in mechanics?

While a vector approach is a powerful method for solving problems in mechanics, it does have its limitations. It may not be suitable for all types of problems, and in some cases, a scalar approach may be more efficient. It is also important to remember that all models and approaches have their limitations, and it is important to consider the context and assumptions made in any analysis.

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