1) Two identical blocks of mass M slide on opposite frictionless tracks obeying y(x) = D((e^-x/D)-1)...

1) Two identical blocks of mass M slide on opposite frictionless 
tracks obeying y(x) = D((e^-x/D)-1) and y(x) = D((e^x/D)-1) repectively. 
There is gravity g.  A spring of equilibrium length zero and 
spring constant k is stretched between the masses, initially 
separated by 2D.  Both blocks are released from rest simultaneously 
and begin to slide down their planes, reducing the stretch of the spring between them.

a) Find the maximum value of k that will keep the blocks from
leaving their inclined planes (it will happen at the start).
b) Write the Lagrangian for the system, given that the blocks are
always directly across from each other.
c) Find the Euler-Lagrange equation, but don't bother to solve it.

Solutions

Expert Solution

genius_generous answered 1 year ago

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