Vision is blurred if the head is vibrated at 31Hz 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 7.0 g, what is the effective spring constant of the musculature attached to the eyeball?

A string with a bowling ball tied to its end is attached to the ceiling. The string is pulled back such that it makes a 10 degree angle with the vertical and it is then released. When the bowling ball reaches its lowest point, it has a speed of 2 m/s. What is the frequency of this bowling ball-pendulum?

A graduate student taking a test was given a 0.298 cm long spring with constant K =10.9 N/m. She attatched 84 g mass to the spring. Setting the equilibrium position to y=0.0 cm. The spring mass system undergoes SHM between points Ymax=-10.2 cm and Ymin=10.2 cm. Where is the mass located when it's kinetic energy is minimum?

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?

A loudspeaker diaphragm is oscillating in a simple harmonic motion described by the equation d=acos(ωt) with a frequency of 614 Hertz​ (cycles per​ second) and a maximum displacement of 1.50 millimeters. Find ω and then determine the equation that describes the movement of the diaphragm.

A 10.kg-block is attached to a spring of spring constant, k = 400. N/m, and undergoes simpleharmonic motion along a frictionless, horizontal tabletop. A second 6.0-kg block sits on top of the firstblock as shown. The coefficient of static friction between the two blocks is µs = 0.13. What is thegreatest amplitude the blocks can undergo without the second block sliding off?

Two simple pendulums of 60.5 cm and 50 cm respectively. A 60.5 cm pendulum vibrates with a frequency of 1 hertz. If a 50 cm pendulum is vibrated, what is its frequency?

Needs Complete typed solution with 100 % accuracy.

A block of mass m = 11.54 kg on a rough horizontal surface is attached to a light spring with spring/force constant k = 2.17  kN/m with the other end fixed. The block is pulled xi­ = 7.66 cm to the right from the equilibrium point and released from the rest. The coefficient of kinetic friction between the block and the rough horizontal surface is μk = 0.2. When the block passes through the equilibrium point, what is the velocity of the block vf in m/s? Keep three significant figures for the answer. g = 9.80 m/s2.