Solving Motion of Block A on Wedge B

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Homework Help Overview

The problem involves a block A of mass m placed on a wedge B of the same mass, with the scenario assuming smooth surfaces. The inquiry focuses on the displacement of block A after 1 second when the system is released from rest.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss free body diagrams (FBDs) and derive equations related to the forces acting on the blocks. There is mention of constraints related to the velocities and accelerations of the blocks due to their contact.

Discussion Status

Some participants have provided equations and attempted to analyze the motion, while others have raised questions about the relationships between the blocks' velocities and accelerations. There is ongoing exploration of the implications of the blocks staying in contact during motion.

Contextual Notes

Participants note potential dimensional errors in the equations presented and question the utility of certain equations in the context of the problem. The discussion reflects uncertainty regarding the correct application of the constraints involved.

hav0c
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Homework Statement



A block A of mass m is placed over a wedge B of same mass m. Assuming all surface to be smooth. The displacement of block A is 1 sec if the system is released from rest is :

Homework Equations





The Attempt at a Solution


i have made fbds and have the relations-
1. ma1=(g-N1)/m
2.N1cos θ+mg cosθ=N2
3.ma2=sinθ(mg+N1)
now I am stuck
 

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There is one more equation. The blocks stay in contact so their velocities perpendicular to the contact are same. What can you say about the relative acceleration perpendicular to the contact?
 
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consciousness said:
There is one more equation. The blocks stay in contact so their velocities perpendicular to the contact are same. What can you say about the relative acceleration perpendicular to the contact?

What velocities are the same?
I don't get it
EDIT:Thanks i got it A1=a2sintheta
 
Last edited:
hav0c said:

Homework Statement



A block A of mass m is placed over a wedge B of same mass m. Assuming all surface to be smooth. The displacement of block A is 1 sec if the system is released from rest is :

Homework Equations





The Attempt at a Solution


i have made fbds and have the relations-
1. ma1=(g-N1)/m
2.N1cos θ+mg cosθ=N2
3.ma2=sinθ(mg+N1)
now I am stuck

Your first equation has a dimensional error.

I don't think the second equation would do any good. Your third equation is fine. Apply the constraint that blocks A and B stay together during the motion.
 

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