Angle for Impending Motion on Inclined Plane with Attached Blocks

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Homework Help Overview

The discussion revolves around a physics problem involving two blocks on an inclined plane, focusing on the conditions for impending motion. The scenario includes a block attached to a link and the effects of static friction between the surfaces in contact.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are examining the equations of motion for block B, particularly the forces acting parallel to the incline. There are questions about the completeness of the force equations and the necessity of including certain components in the analysis.

Discussion Status

Some participants are seeking clarification on the equations presented, particularly regarding the summation of forces in the direction of impending motion. There is an ongoing exploration of the necessary components to consider for a complete analysis, with no clear consensus yet on the correct approach.

Contextual Notes

Participants are working under the constraints of static friction and are encouraged to consider all forces acting on the blocks, including the effects of tension and normal forces. The original poster has provided a link to their work for review, indicating a desire for feedback on their calculations.

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The 8 kg block A is attached to link AC and rests on the 12-kg block B. Knowing that the coefficient of static friction is 0.20 between all surfaces of contact and neglecting the mass of the link, determine the angle for which motion of block B is impending.

Can someone check my equations and see if they are OK? There's something screwy with the numbers I'm pluggin in so if you can tell me what you should get, I will be grateful. Thanks.

Link to my work: http://img507.imageshack.us/img507/9884/img0801copy2bm.jpg
 
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For impending motion, block B has
Sum of F parallel = - T + 2.5 W_A sin(theta) - mu N - F_1 cos(theta) = 0 .

Somehow you forgot to sum the Forces in that direction?
 
The equation or the pluggin in of the numbers?
 
I didn't see any Sum of Forces equation for block B
in the parallel-to-the-ramp direction (perp to N).
 
Why do I need it?
 
WHAT? That's the direction that the acceleration is to occur in!

The perp-to-ramp component Force Sum is just to get the Friction -
if the ramp was frictionless you wouldn't have needed it at all!
 
That's the last equation labeled translational force...
 
anyone? :-/
 

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