#3 Swinging for two reasons A mass of m=0.1 kg is attached to either a spring...

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#3 Swinging for two reasons A mass of m=0.1 kg is attached to either a spring of stiffness D-0.5 N/m or to a thread allowing the mass to swing. Calculate the required pendulum length such that the period time in both cases is identical. As the mass is attached to both (see sketch below), sideways to the spring and upwards to the thread, there are two forces driving the pendulum back when slightly deflected. Calculate the period time of this system. If damping reduces the amplitude by 15% each cycle, how many oscillations does it take until 5% of the initial energy is reached? Assume that the oscillation period is almost not modified due to damping. Sketch the horizontal position versus time in this case for 3 oscillations starting at 15 cm. D #3 Swinging for two reasons A mass of m=0.1 kg is attached to either a spring of stiffness D-0.5 N/m or to a thread allowing the mass to swing. Calculate the required pendulum length such that the period time in both cases is identical. As the mass is attached to both (see sketch below), sideways to the spring and upwards to the thread, there are two forces driving the pendulum back when slightly deflected. Calculate the period time of this system. If damping reduces the amplitude by 15% each cycle, how many oscillations does it take until 5% of the initial energy is reached? Assume that the oscillation period is almost not modified due to damping. Sketch the horizontal position versus time in this case for 3 oscillations starting at 15 cm. D