A block of mass = 8.00 is attached to the end of an ideal spring. Due to the wei

Question

A block of mass = 8.00 is attached to the end of an ideal spring. Due to the weight of the block, the block remains at rest when the spring is stretched a distance = 9.00 from its equilibrium length. The spring has an unknown spring constant . Take the acceleration due to gravity to be = 9.81 .

A. What is the spring constant ?
Express your answer in newtons per meter.

B. Suppose that the block gets bumped and undergoes a small vertical displacement. Find the resulting angular frequency of the block's oscillations about its equilibrium position.
Express your answer in radians per second.

Explanation / Answer

A) (8g = 9k;;; k = 8.711 m/N) B) (2pi f = sqrt{k/m};;; f = 0.166 Hz)

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