Inclined plane moment of inertia

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Homework Help Overview

The problem involves a block sliding down an inclined plane with friction and a flywheel connected via a string. The scenario includes calculating the acceleration of the block and the tension in the string, with specific values provided for mass, angle, friction coefficient, and moment of inertia.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the forces acting on the block, including gravitational force, friction, and tension. There are attempts to relate the motion of the block to the torque on the flywheel. Some participants express confusion regarding the calculation of opposing forces and the relationship between angular acceleration and linear acceleration.

Discussion Status

Some participants have offered guidance on setting up equations for forces and torques. There is a mix of attempts to clarify the problem and share insights, but not all participants agree on the methods or results. One participant has reported a potential solution, which another confirms, but further clarification is sought on the reasoning behind the calculations.

Contextual Notes

There is a request for visual aids to better understand the problem setup, indicating that some participants may be struggling with the conceptualization of the scenario. Additionally, the discussion includes a mix of informal interactions among participants.

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Homework Statement



A block with mass m = 5.00 kg slides down a surface inclined 36.9 to the horizontal. The coefficient of kinetic friction is 0.25. A string attached to the block is wrapped around a flywheel has mass 25.0 kg and moment of inertia 0.500 kgm2 with respect to the axis of rotation. The string pulls without slipping at a perpendicular distance of 0.200 m from that axis.
a) What is the acceleration of the block down the plane
b) What is the tension in the string

Homework Equations





The Attempt at a Solution


Ok I've been having a lot of trouble with things involving moments of inertia. I've found the friction that opposes the motion to be 9.81N. but how do i calculate the opposing force that the flywheel provides? any help is appreciated, as always..
 
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Could you please show a picture?

ehild
 
Could you please show a picture?

ehild
 
How do you show a picture in a reply?? I've attached it as a word doc.
 

Attachments

Use the relationship [tex]\alpha[/tex]=a/r and solve the torque equation for a.
 
you mean mg-T=ma??
 
First sum up all of the forces for the block.

[tex]\Sigma[/tex]Fx=sin[tex]\theta[/tex]*Fg-Ff-T=ma

Then get the pulley

[tex]\Sigma\tau[/tex]=I*[tex]\alpha[/tex]
 
Ok ill do that and report back with my answer, thanks.
 
Hey is the answer a=1.123m/s^2 and T=14N thanks
 
  • #10
Yes, it is!

ehild
 
  • #11
Hey Pat,

Could you describe what you've done to come up with those answers? I couldn't follow.

Cheers
 
  • #12
why do you want to follow, more cqu peoples?
 
Last edited:
  • #13
69camaro said:
Hey Pat,

Could you describe what you've done to come up with those answers? I couldn't follow.

Cheers

which part?
 

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