A spring with one end attached to a mass and the other to a right support is stretched and releasedA. Magnitude of acceleration, when just released is maximumB. Magnitude of acceleration, when at equilibrium position, is maximumC. Speed is maximum when is at equilibrium positionD. Magnitude of displacement is always maximum whenever speed is minimum

A spring with one end attached to a mass and the other to a right supp

1.	A spring with one end attached to a mass and the other to a right support is stretched and releasedA. Magnitude of acceleration, when just released is maximumB. Magnitude of acceleration, when at equilibrium position, is maximumC. Speed is maximum when is at equilibrium positionD. Magnitude of displacement is always maximum whenever speed is minimum
Answer» Correct Answer - A::C When spring is stretched by x, restoring force will be `F = - kx` Potential energy of the stretched spring `= PE = 1/2 kx^(2)` The restoring force is central hence, when particles relased it will executes SHM about equilibrium position. Acceleration will be , `a = F/m = (-kx)/(m)` At equilibrium position, `x = 0 rArr a = 0` Hence, when just released , `x = x_(max)` Hence, acceleration is maximum. Thus options (a) is correct Hence, acceleration is maximum. Thus option (a) is correct. At equilibrium whole PE will be converted to KE hence, KE will be maximum and hence, speed will be maximum.

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