A female orb spider has a mass of 0.50 g. She is suspended from a tree branch by a 1.1 m length of 0.0020-mm-diameter silk. Spider silk has a density of 1300 kg/m3. If you tap the branch and send a vibration down the thread, how long does it take to reach the spider?

A mass m = 3.3 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.5 Hz. a. Write an equation for the spring constant k.  b. Calculate the spring constant k, in Newtons per meter.  c. Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement.  d. Calculate the total mechanical energy E, in joules.

In a science museum, a 130 kg brass pendulum bob swings at the end of a 14.7 mm -long wire. The pendulum is started at exactly 8:00 a.m. every morning by pulling it 1.2 mm to the side and releasing it. Because of its compact shape and smooth surface, the pendulum's damping constant is only 0.010kg/s. a. At exactly 12:00 noon, how many oscillations will the pendulum have completeted?  b. What is the amplitude at noon?

Physicians use an EEG (electroencephalogram) to study electrical oscillations in the human brain. So-called Beta oscillations, whose enhancement has been linked to alcoholism, have a typical frequency of 15 Hz.  What is the wave's velocity at 1.00 sec if its maximum amplitude is 0.500 cm?     2.25 cm/sec 2.25 cm/sec -2.25 cm/sec -2.25 cm/sec 47.0 cm/sec 47.0 cm/sec -47.0 cm/sec

The human eardrum responds to sound by vibrating. If the eardrum moves in simple harmonic motion at a frequency of 2.88 kHz and an amplitude of 0.132 nm, what is its maximum speed of vibration?

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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?

Vision is blurred if the head is vibrated at 31Hz because thevibrations 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 themusculature attached to the eyeball?

All spiders have special organs that make them exquisitely sensitive to vibrations. Web spiders detect vibrations of their web to determine what has landed in their web, and where. In fact, spiders carefully adjust the tension of strands to “tune” their web. Suppose an insect lands and is trapped in a web. The silk of the web serves as the spring in a spring-mass system while the body of the insect is the mass. The frequency of oscillation depends on the restoring force of the web and the mass of the insect. Spiders respond more quickly to larger—and therefore more valuable—prey, which they can distinguish by the web’s oscillationfrequency. Suppose a 12 mg fly lands in the center of a horizontal spider’s web, causing the web to sag by 3.0 mm. If the web were vertical rather than horizontal, how would the frequency of oscillation be affected?A. The frequency would be higher.B. The frequency would be lower.C. The frequency would be the same.

A pendulum is formed by taking a 1.5 kg mass and hanging it from the ceiling using a steel wire with a diameter of 1.1 mm. It is observed that the wire stretches by 0.05 mm under the weight of the mass. What is the period of oscillation of the pendulum?