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A VERTICAL SPRING ⢠⢠⢠⢠⢠⢠⢠Up to now, we have considered springs that are horizontal When a mass m is attached to a vertical spring, it causes the spring to stretch The vertical spring is in equilibrium when it exerts an upward force equal to the weight of the mass, i.e the spring stretches by an amount y0 Thus, for vertical springs: ky0 = mg Or y0 = mg/k A mass on a spring oscillates around the equilibrium point y = y0, and also exhibits simple harmonic motion Example: A 0.26kg mass is attached to a vertical spring. When the mass is put into motion, its period is 1.12s. How much does the mass stretch the spring when it is at rest in its equilibrium position? 5. Oscillations About Equilibrium 11