What Is the Velocity of an Inclined Plane as a Block Slides Down?

AI Thread Summary
The discussion revolves around calculating the velocity of an inclined plane as a block slides down it, with all surfaces being frictionless. The problem involves a block of mass m on an inclined plane of mass M, and the goal is to determine the plane's velocity when the block reaches the ground. The original poster seeks a solution using conservation of momentum rather than a lengthy force analysis, noting that no external forces act along the x-axis. Participants suggest drawing free body diagrams and writing force balances for both masses to clarify the forces involved. This approach aims to simplify the problem and facilitate a solution.
varunKanpur
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Hello Friends, I am not able to solve a problem of my textbook
A block of mass m slides on a inclined plane of mass M, then What is the velocity of inclined plane when mass m reaches the ground ? ("All surfaces are friction less and the height of inline plane is H and the angle of inclination from ground is a.")

I am am to solve this problem by using force concept but its very long.
I am trying to find a way to solve this problem by using conservation of momentum as there is no force acting in x-axis.

Thanx in Advance
 
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varunKanpur said:
Hello Friends, I am not able to solve a problem of my textbook
A block of mass m slides on a inclined plane of mass M, then What is the velocity of inclined plane when mass m reaches the ground ? ("All surfaces are friction less and the height of inline plane is H and the angle of inclination from ground is a.")

I am am to solve this problem by using force concept but its very long.
I am trying to find a way to solve this problem by using conservation of momentum as there is no force acting in x-axis.

Thanx in Advance
Let N1 represent the (normal) force that the mass M exerts on m, and Let N2 represent the (normal) force that the ground exerts on the inclined plane. Now draw free body diagrams for both m and M that show the forces acting on these masses. Write force balances in the horizontal and vertical directions for each of the masses.
 
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