- #1

guv

- 123

- 22

- Homework Statement
- Suppose we have a rhombus made of 4 point masses ##m## and massless rigid rod at length ##l##. It's placed on a horizontal frictionless table initially at rest. Let a corner be A and the angle at the corner ##\theta## initially.

Then a sudden impulse ##j## is applied symmetrically on the rhombus at the corner A such that A moves along the direction of the impulse. Find the velocities of all the corners.

- Relevant Equations
- ##v_{CM} = \frac{j}{4m}##

Let D be the opposite corner. In the CM frame, A moves towards CM, D moves towards CM as well. The other two corners (let them be B and C) moves away from the corner at ##v##. Then

##v_A \cos \theta/2 = v \sin \theta/2##

##v_{CM} = \frac{j}{4m}##

This is where it seems like the problem is under-constrained, it is not possible to determine individual velocities unless one velocity is specified. Let me know if I didn't explain this well enough or if I missed anything in solving this problem.

##v_A \cos \theta/2 = v \sin \theta/2##

##v_{CM} = \frac{j}{4m}##

This is where it seems like the problem is under-constrained, it is not possible to determine individual velocities unless one velocity is specified. Let me know if I didn't explain this well enough or if I missed anything in solving this problem.