Two identical particles A and B, each of mass m, are interconnected by spring of stiffness k. If the particle B experiences a force F apart from spring force & the elongation of the spring is x, find

Question

Two identical particles A and B, each of mass m, are interconnected by spring of stiffness k. If the particle B experiences a force F apart from spring force & the elongation of the spring is x, find the relative acceleration between the particles?

TestHub · Accepted Answer

For A: T = ma ⇒ a = m T ​ = m k x ​ (spring force T = k x ). For B: F − T = m a ′ ⇒ a ′ = m F − k x ​ . Relative acceleration a r ​ = ∣ a ′ − a ∣ = m F − k x ​ − m k x ​ = m F − 2 k x ​ .

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