JEE Main Physics question

Physics Laws of Motion JEE Main

Two blocks and () are connected with a spring of force constant and are inclined at an angle with the horizontal. If the system is released from rest, which one of the following statements is/are correct?

(A)Maximum compression in the spring is if there is no friction anywhere
(B)There will be no compression or elongation in the spring if there is no friction anywhere
(C)If is smooth and is rough, there will be compression in the spring
(D)Maximum elongation in the spring is if all the surfaces are smoothCorrect

Answer: (D)

Solution

With both surfaces frictionless, (heavier, down the slope initially via spring tension) pulls the system so that eventually the spring stretches by an amount determined from energy/force balance; using the standard "two blocks connected by a spring on an incline, released from rest, both free to slide" result,

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Question ID VK-158616