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Lab B1: Simple Harmonic MotionObjectives1.To determine the spring constant k by stretching the spring and applying Hooke’s Law2.To verify that the period of vibration of a body on a spring is independent of the amplitude, and is given by T = 2π√m/k3.To measure the period T of a simple pendulum as a function of the length L of the pendulum, and to verify that it is given by T = 2π√L/gBackgroundWhen a body of mass m is suspended on a coil spring with spring constant k, and if the spring is stretched or compressed from its equilibrium position through a displacement s, the spring exertson the body a force that is proportional to the displacement and given by Hooke’s Law⃗F=−k⃗sof which magnitude F = ksWe call F a restoring force. The negative sign indicates that the force direction is opposite to the direction of the displacement. If the spring is hung vertically, when the body is stationary, according to Newton’s First Law we know that F = mg so therefore mg = ksProcedurePart 11.With the lab equipment provided in the counter tray, clamp a one- or two- meter stick in avertical position. Hang the spring at the groove of the rod and carefully record the position yoof the bottom of the spring. Then hang the 50g weight hanger at the bottom ofthe spring.2.Add 100g weight to the weight hanger and record the position y1of the bottom of the spring.3.Add more weight to the weight hanger, and record in Data Table 1 the position y1of the bottom of the spring for each added weight.