A 1 kg block situated on a rough inclined plane is connected to a spring of spring constant 100 N m –1 as shown in figure. The block is released from rest with the spring in the unstretched position. The block moves 10 cm along the incline before coming to rest. Find the coefficient of friction between the block and the incline assume that the spring has negligible mass and the pulley is frictionless. Take g = 10 ms –2 .
Text Solution
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Sol. W s + W g + W f = Δ K
⇒ 
kx 2 + mgx sin37º – µmg cos37º × x = 0
⇒ 
× 100 × (0.1) 2 + 1 × 10 × 0.1 × 
– µ × 1 × 10 × 
× 0.1
⇒ = 
.
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