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Q.

Two blocks A and B of masses 5 kg and 2 kg, respectively, connected by a spring of force constant = 100 N m-1 are placed on an inclined plane of inclination 30∘ as shown in figure. If the system is released from rest

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a

There will be no compression or elongation in the spring if all surfaces are smooth.

b

There will be elongation in the spring if A is rough and B is smooth.

c

Maximum elongation in the spring 35 cm if all surfaces are smooth.

d

There will be elongation in the spring if A is smooth and B is rough.

answer is A.

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Detailed Solution

If initially acceleration of A is greater than that of B, then there will be extension and if that of B is greater than A, then there will be compression in the spring. Otherwise the length of spring will remain same.
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Two blocks A and B of masses 5 kg and 2 kg, respectively, connected by a spring of force constant = 100 N m-1 are placed on an inclined plane of inclination 30∘ as shown in figure. If the system is released from rest