A spring with spring constant k = 35 N/m is attached to the ceiling. A cylinder with mass m = 1 kg and diameter d = 5 cm is attached to its lower end. The cylinder is first held, such that the spring 1 is neither stretched nor compressed, then a tank of water is placed underneath with the surface of the water just touching the bottom of the cylinder. When released, the cylinder will oscillate a few times but, damped by the water, quickly reaches an equilibrium position. When in equilibrium,

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A spring with spring constant k = 35 N/m is attached to the ceiling. A cylinder with mass m = 1 kg
and diameter d = 5 cm is attached to its lower end. The cylinder is first held, such that the spring
1
is neither stretched nor compressed, then a tank of water is placed underneath with the surface of
the water just touching the bottom of the cylinder. When released, the cylinder will oscillate a few
times but, damped by the water, quickly reaches an equilibrium position. When in equilibrium,
what length of the cylinder is submerged?
Transcribed Image Text:A spring with spring constant k = 35 N/m is attached to the ceiling. A cylinder with mass m = 1 kg and diameter d = 5 cm is attached to its lower end. The cylinder is first held, such that the spring 1 is neither stretched nor compressed, then a tank of water is placed underneath with the surface of the water just touching the bottom of the cylinder. When released, the cylinder will oscillate a few times but, damped by the water, quickly reaches an equilibrium position. When in equilibrium, what length of the cylinder is submerged?
Expert Solution
Step 1: Determine length of cylinder that is submerged.

Solution 

      Given data

Spring constant K=35N/m

Cylinder mass m=1.0kg

Diameter D=5cm=0.05m

Radius r=D/2=0.025m

When in equilibrium what length of cylinder is submerged?

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