GK
PHYSICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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25 N/m
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30 N/m
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42 N/m
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None of the above
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Detailed explanation-1: -A body of mass 20g connected to a spring of spring constant k, executes simple harmonic motion with a frequency of (5)Hz.
Detailed explanation-2: -W = kx. W is the weight of the added mass. Therefore, the spring constant k is the slope of the straight line W versus x plot. Weight is mass times the acceleration of gravity or W = mg where g is about 980 cm/sec2.
Detailed explanation-3: -x(t) = C1 cos It + C2 sin It. Then x(0) = C1 = x0, and xv(0) = IC2 = v0 hence x(t) = x0 cos It + v0 I sin It. This is a solution whose amplitude does not decrease with time and whose frequency, I, increases as the stiffness K of the spring increases and decreases as the mass m increases.
Detailed explanation-4: -Increasing the mass attached to a spring will decrease the period of its vibrations. where T is the period, m is the mass of the object attached to the spring, and k is the spring constant of the spring. The equation can be interpreted to mean that more massive objects will vibrate with a longer period.