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Question: Two blocks of mass 10 kg and 2 kg are connected by an ideal spring of spring constant 1000 N/m and t...

Two blocks of mass 10 kg and 2 kg are connected by an ideal spring of spring constant 1000 N/m and the system is placed on a horizontal surface as shown.

The coefficient of friction between 10 kg block and surface is 0.5 but friction is assumed to be absent between 2 kg and surface. Initially blocks are at rest and spring is unstretched then 2 kg block is displaced by 1 cm to elongate the spring then released. Then the graph representing magnitude of frictional force on 10 kg block and time t is : (Time t is measured from that instant when 2 kg block is released to move)

A

B

C

D

None of these

Answer

Explanation

Solution

fs = kx

(where fs is frictional force on 20 kg block and xis instantaneous elongation or compression in spring)

fs = k (A cos wt)

\ | fs | = kA |cos wt|