A simple pendulum consists of a ball of mass 5.53 kg hanging from a uniform string of mass 0.0433 g and length L. The period of oscilla- tion for the pendulum is 2.29 s. Determine the speed of a transverse wave in the string when the pendulum is station- ary and hangs vertically. The acceleration of gravity is 9.8 m/s² .

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A motor vehicle to carry astronauts on the surface of the moon has a spring suspension and has a natural up-and-down frequency of 0.40 Hz when fully loaded on the earth. Find its natural frequency onthe moon, where it and everything in it will weigh only about one-sixth what it weighs on earth.

The air pressure variations in a sound wave cause the eardrum to vibrate. A) Find the maximum velocity of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 Hz. m/s B) Find the maximum acceleration of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 Hz.in m/s^2 C) Find the maximum velocity of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 kHz. in m/s  D) Find the maximum acceleration of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 kHz. m/s^2

In the figure the colored dot exhibits simple harmonic motion as the longitudinal wave passes. The wave has an amplitude of 4.63 x 10 3 m and a frequency of 2.70 Hz. Find the maximum acceleration of the dot. Number i Units MAMMA

A nylon rope of length 18m is under a tension of 1.8 * 10^4 N. The total mass of this rope is 2.7 kg. If a wave pluse starts a one end of this rope, find its speed.

The length of nylon rope from which a mountain climber is suspended has a force constant of 1.50 x 104 N/m. (a) What is the frequency at which he bounces, given his mass plus equipment to be 72.5 kg? 2.305 Hz (b) How much would this rope stretch to break the climber's fall, if he free falls 2.00 m before the rope runs out of slack? 0.55 Can you determine the kinetic energy of the climber at the instant when the rope runs out of slack? As the rope stretches, what types of potential energy are important? m (c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used. bounce frequency Hz distance stretched Em

A nylon rope of length 16m is under a tension of 1.5 × 104 N. The total mass of this rope is 2.1 kg. If a wave pulse starts at one end of this rope, find its speed. Calculate to one decimals?

A nylon rope of length 12m is under a tension of 1.7 × 104 N. The total mass of this rope is 2.4 kg. If a wave pulse starts at one end of this rope, find its speed. Calculate to one decimals?

1. The figure shows a resonant oscillation pattern on a string of mass 2.500 g and length 0.800 m. The rope is under a tension of 325 N. 8.00 mm Ű pood. 0 -x (m) 0.800 Show Transcribed Text Determine (a) the harmonic number, (b) the speed of the waves on the string, (c) the first three resonant frequencies.