A mass of 155 grams is attached to an undamped spring, causing it to stretch 14.

Question

A mass of 155 grams is attached to an undamped spring, causing it to stretch 14.1 cm. Compute the spring constant k in grams/sec2, the natural frequency in Hertz (cycles/sec) and the point of critical damping in grams/sec. All answers must be entered as decimal numbers accurate to 3 significant figures. Remember the difference between frequency and circular frequency; circular frequency is measured in radians per second, where there are 2 radians per cycle. Use g=981cm/sec2 for the acceleration of gravity.

Asks for Spring Constant in g/sec^2,Natural Frequency in Hz and Critical Damping in g/sec

Explanation / Answer

equate the force

mg = kx

155*981 = k*14.1

k = 10784.042 g/s^2

frequency(v) = 1/2*pi ( sqrt(k/m))

v= 1/2*pi (sqrt(10784.042/155))

v = 1.327 s^-1

critical damping = mass* frequency

C = 155*1.327 = 205.76 gram/sec

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