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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.
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B
There will be elongation in the spring, if A is rough and B is smooth.
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C
Maximum elongation in the spring is 35 cm,  if all surfaces are smooth.
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D
There will be elongation in the spring, if A is smooth and B is rough.
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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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