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  4. A block of mass 1 kg is attached to one end of a spring of force constant k=20 N / m. The other end of the spring is attached to a fixed rigid support. This spring block system is made to oscillate on a rough horizontal surface (μ=0.04). The initial displacement of the block from the equilibrium position is a=30 cm. How many times the block passes from the mean position before coming to rest ? (Take g=10 m / s 2 )

Q. A block of mass is attached to one end of a spring of force constant . The other end of the spring is attached to a fixed rigid support. This spring block system is made to oscillate on a rough horizontal surface . The initial displacement of the block from the equilibrium position is . How many times the block passes from the mean position before coming to rest ? (Take )

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Solution:

By energy conservation if block goes to a distance on other side then we use






Again if block covers distance to the right of mean position,





The distance covered by block from mean position decreases each time by .

Thus, block passes the mean position seven times before coming to rest when .

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