1. The problem statement, all variables and given/known data
I think that the image is clear.
There isn't friction, not the material point with wedge, not the wedge with the floor.
At time t=0 the material point start to move, I need to find the final speed of the two objects at time [itex]t\rightarrow\infty[/itex].
2. Relevant equations
I have used conservation of energy and momentum.
3. The attempt at a solution
So I have two equation:
[itex]\frac{1}{2}m{v_m}^2+\frac{1}{2}M{v_M}^2 = mgR[/itex]
[itex]m{v_m}+M{v_M}=0[/itex]
And the solution is [itex]{v_m}=\sqrt{\frac{mgR}{\frac{1}{2}m+\frac{1}{2}\frac{m^2}{M}}}[/itex]
Am I wrong?
I think that the image is clear.
There isn't friction, not the material point with wedge, not the wedge with the floor.
At time t=0 the material point start to move, I need to find the final speed of the two objects at time [itex]t\rightarrow\infty[/itex].
2. Relevant equations
I have used conservation of energy and momentum.
3. The attempt at a solution
So I have two equation:
[itex]\frac{1}{2}m{v_m}^2+\frac{1}{2}M{v_M}^2 = mgR[/itex]
[itex]m{v_m}+M{v_M}=0[/itex]
And the solution is [itex]{v_m}=\sqrt{\frac{mgR}{\frac{1}{2}m+\frac{1}{2}\frac{m^2}{M}}}[/itex]
Am I wrong?
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