A block hanging down from a spring has a mass of 5 kg. The spring stiffness constant is 1000 N/m.
The block was displaced from the equilibrium state by 10 cm and released.
Find the amplitude, period, and angular frequency.
Determine the velocity and acceleration of the block at 5 cm distance from the equilibrium position.
The amplitude of the block is the maximum distance that the block travels from its equilibrium state:
A=10 cm=0.1 m
The angular frequency can be found from the following equation:
Now the period can be determined:
It is known that the velocity is the first order derivative of the displacement function:
The acceleration is the first order derivative of the velocity function:
The displacement function can be written as:
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