Spring and collision
As shown above, object
with mass
kg is fixed on the right end of a spring, the other end of which is fixed on the left wall. It takes
N of force to stretch this spring by
m. Now, another object
with the same mass is moving towards
If the two objects collide and are agglomerated as one body, then how long will it take for the one body to reach the maximum compression?
Ignore the frictional force.
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1 solution
Time Period of the combined motion is:
T= 2 * pi * (k\2m)^(1/2)
Given 10 N force for 0.1 m elongation: 10=K x x=0.1; => k=100 m= 2 kg on substituting in equation of T so T = 2/5 * pi; so time taken for reaching extreme position ( position with maximum force ) from mean position is : t = T/4 = 0.1 pi