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Aim, To find the force constant of a helical spring by, plotting a graph between load and extension., , Apparatus, , Spring, a rigid support, a 50 g or 20 g hanger, six 50 g, or 20 g slotted weights, a vertical wooden scale, a fine, pointer, a hook.

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Theory, When a load F suspended from lower free end of a, spring hanging from a rigid support, increases its, length by amount |,, then Fe], or F = Kl,, where K is constant of proportionality., , It is called the force constant or the spring constant of, the spring,, , From above if | = 1, F =K., , Hence, force constant (or spring constant) of a spring, may be defined as the force required to produce unit, extension in the spring.

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Table A: Spring I, , , , , , , , , , , , , , , , , , , , Mass of weight hanger (mo) :_ S0g =_0.05 kg, Pointer reading with weight hanger (jv): 0m, Pointer reading Spring, Added mass | Load weight Average Extension constant, = es = : : - F, m=ta-mM@a| F=mg | Loading | Unloading | yitye |4¥Y=¥-%o| pot, m (kg) FN) yr (m) wim) | ¥=-9 4 (m) Ay, y(m) k (Nim), 0.05 kg 0.49N 0.016 0.016 0.016 0.016 30.625, 0.10 kg 0.98N 0.033 0.033 0.033 0.033 29.697, 0.15 kg 147N 0.049 0.049 0.049 0.049 30, T, 0.20 kg 1.96N 0.065 0.065 0.065 0.065 30.154, 0.25 kg 2.45N 0.082 0.082 0,082 0.082 29.878

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Graph, , Plot a graph between F and | taking F along X-axis and, | along Y-axis. The graph comes to be a straight line as, shown below., , Graph between applied force and extension, y4 Scale : X-axis : 1 cm = 50 g wt. of F, , Y- cs =0., epledinlibwie i ys axis:t.om=05¢emot!, , , , , , 2.57, , 1=2.5¢em, Wiesel celcnsesiateobasedeacbeeteabdska, , , , , , 05 9 Fs 260g wh sone i c, ' ', ' ', i, 1 1 1 1 i, —>, Oo 50 100 150 200 250 300 x, , Applied force (F) in g wt., , Fig. Graph between F and /. It is a straight line.