Question

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

A
There will be no compression or elongation in the spring, if all the 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 is 35 cm,  if all surfaces are smooth.
D
There will be elongation in the spring, if A is smooth and B is rough.

Solution

## The correct options are A There will be no compression or elongation in the spring, if all the surfaces are smooth. D There will be elongation in the spring, if A is smooth and B is rough.When all surfaces are smooth, acceleration of both blocks is gsinθ. So, no elongation or compression of spring takes place. When A is rough, B is smooth, Acceleration of A < Acceleration of B Hence, A moves less distance compared to B, and spring will compress.  When B is rough, A is smooth, Acceleration of B < Acceleration of A Hence, B moves less distance compared to A, and spring will elongate.   a,d are correct.Physics

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