A 5 kg rope with a 50 kg mass is hung from the edge of a cliff. If the rope is 20 m long, and one end of the rope is tweaked, how long will it take for the resulting disturbance to reach the other end?

One end of a string is vibrated harmonic up and down by a vibrator with a frequency of 10 Hz and an amplitude of 6 cm, so that the vibration propagates to the right along a long rope with a speed of 20 m/s. If the vibrating source vibrates for the first time, determine :  (c) maximum speed and acceleration at any point along the rope!

A 13.3-kg object hangs in equilibrium from a string with a total length of 5.80 m and a linear mass density of μ = 0.00500 kg/m. The string is wrapped around two light frictionless pulleys that are separated by a distance of d = 2.00 m. a m TOO b (a) Determine the tension in the string. N m (b) At what frequency must the string between the pulleys vibrate in order to form the standing-wave pattern shown in Figure b? Hz

(a) Expectant parents are thrilled to hear their unborn baby's heartbeat, revealed by an ultrasonic motion detector. Suppose the fetus's ventricular wall moves in simple harmonic motion with an amplitude of 1.70mm and a frequency of 130. per minute. Calculate the maximum linear speed of the heart wall. Suppose the motion detector in contact with the mother's abdomen produces sound at 1910000Hz, which travels through tissue at 1.50km/s. (b) Calculate the maximum frequency at which the sound would be perceived at the wall of the baby's heart. (c) Calculate the maximum frequency at which reflected sound is received by the motion detector. (By electronically "listening" for echoes at a frequency different from the broadcast frequency, the motion detector can produce beeps of audible sound in synchronization with the fetal heartbeat.)

One end of a string is vibrated harmonic up and down by a vibrator with a frequency of 10 Hz and an amplitude of 6 cm, so that the vibration propagates to the right along a long rope with a speed of 20 m/s. If the vibrating source vibrates for the first time, determine:  a) the general equation for the deviation of the wave!

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

Waves moving on a pond of water are estimated to have a distance of 1.4 m between crests. If they travel at a velocity of 4.2 m/s, calculate the period of the wave motion. Your Answer: Answer

A squirrel is standing on an overhead telephone cable. At one end of the cable is a sensorthat can record small vibrations. If the squirrel begins to run toward the sensor, such thateither its front legs or hind legs land on the cable every 0.1 seconds, what frequency willbe detected by the sensor?(A) exactly 0.1 Hz(B) between 0.1 Hz and 10Hz(C) exactly 10 Hz(D) slightly more than 10 Hz