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Spring is mounted as shown in figure. By...

Spring is mounted as shown in figure. By attaching a mass to the free end and pulling side ways, we determine that the force is proportional to the displacement a force of 4N causing a displacement of 0.02 m. We attach a 2kg body to the end, pull it aside through a distance of 0.04m , and then released. Find

maximum velocity atained by the body.

Text Solution

Verified by Experts

The maximum velocity occurs at the equilibrium position, where the x-coordinate is zero. Since
`v = +- omega sqrt(A^(2) - x^(2))`, then when x = 0
`v = v_("max") = +- omega A = +- 10 xx 0.04 m//s = 0.4 m//s`
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