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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

the velocity adn acceleration when the body has moved half way in toward the central from is initial position.

Text Solution

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At the given point `x = (A)/(2) = 0.02 m`
`rArr V = +- 10 sqrt((0.04)^(2) - (0.02)^(2))`
`= +- (2 sqrt3)/(10) = +- 0.346 m//s`
Similarly acceleration `a = - omega^(2)x = -10^(2) xx 0.02 = -2.0 m//s^(2)`
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