Vision is blurred if the head is vibrated at 29 Hz because the vibrations are resonant with the natural frequency of the eyeball held by the musculature in its socket. If the mass of the eyeball is 7.5 g, a typical value, what is the effective spring constant of the musculature attached to the eyeball?

Spider strands are very strong and light due to their nano-fiber composition. Spiders use different gland types to produce different silks, with some spiders generating up to eight known types of silk. Spiders often lay silk lines and then spool them up to the desired amount of tension. The radial strands of a particular spider's web was measured to have a tension force of 45.6*10-3N. Vibrations were found to propagate along these strands at a rate of 85.1 m/s.   a) What is the mass per unit length of this spider silk?   b) A 11 mg fly caught in the web beats it's wings at a frequency of 244 Hz. What is the wavelength of the vibration set up along the spider silk?

The springs of a pickup truck act like a single spring with a force constant of 1.9×105 N/m1.9×105 N/m. By how much will the truck be depressed by its maximum load of 550 kg?distance =  cm If the pickup truck has four identical springs, what is the force constant of each?k=k=  N/m

A mass of 2.24 kg is placed on a vertical spring.  What is the spring constant, in N/m, of a mass-spring system with a frequency of 1.01 Hz?