Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

A mass of 334 grams is attached to an undamped spring, causing it to stretch 13.

ID: 2859989 • Letter: A

Question

A mass of 334 grams is attached to an undamped spring, causing it to stretch 13.1 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

F = k*x
but F is m*g
m*g = k*x
334 g*981cm/sec2 = k*13.1 cm
k=2.50*10^4 gram/sec^2

2*pi*f= sqrt(k/m)
2*3.14*f = sqrt(2.50*10^4/334)
f=1.38 Hz

I dont understand 3rd part. If there is undamped oscillation, how can I calculate point of critical damping

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote