Question 1. John has a simple pendulum with length 0.60 m.
a) If he releases it from an angle of 10 degrees, what is the pendumlums bob's speed when it passes through the lowest point of the swing, assume. Simple Harmonic Oscillation (SHO).
b) John wishes to make a SHO using a mass hanging from a spring that has the same natural frequency as the pendulum. If the spring he uses has spring constant of 74.5 N/m, what mass must he use?
2) The velocity of waves on John's string are 350 m/s. If the frequency of a standing wave is 420 Hz, how far apart are the nodes?
3) Two trains emit whistles of the same frequency, 410Hz. If one train is at rest and the other is traveling at 100 km/hr away from John at rest, what will John detect as the beat frequency?
4) (a) Ordinary conversation at 50cm corresponds to a sound level of 65db. What is the new sound level if 2 of John's friends join in?
(b) If the temperature in John's church rises, how will that affect the pitch of organ pipes? Briefly explain.
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Question 1. John has a simple pendulum with length 0.60 m. a) If he releases it...
The length of a simple
pendulum is 0.66 m, the pendulum bob has a mass of 305 grams, and
it is released at an angle of 11° to the vertical. (a) With what
frequency does it vibrate? Assume SHM. Hz (b) What is the pendulum
bob's speed when it passes through the lowest point of the swing?
m/s (c) What is the total energy stored in this oscillation,
assuming no losses? J
My Notes Ask Your Teacher 8. -13 points...
he length of a simple pendulum is 0.65 m and the mass of the particle (the “bob”) at the end of the cable is 0.20 kg. The pendulum is pulled away from its equilibrium position by an angle of 7.7° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) What is the angular frequency of the motion? (b) Using the position of the bob at its lowest point...
The length of a simple pendulum is 0.75 m and the mass of the particle (the "bob") at the end of the cable is 0.33 kg. The pendulum is pulled away from its equilibrium position by an angle of 9.1° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) What is the angular frequency of the motion? (b) Using the position of the bob at its lowest point...
Chapter 10, Problem 45 GO The length of a simple pendulum is 0.75 m and the mass of the particle (the "bob") at the end of the cable is 0.28 kg. The pendulum is pulled away from its equilibrium position by an angle of 9.1° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) what is the angular frequency of the motion? (b) Using the position of the...
Chapter 10, Problem 45 GO The length of a simple pendulum is o.70 m and the mass of pendulum is pulled away from its equilibrium position by an angle of 8.8° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) What is the angular frequency of the motion? (b) Using the position of the bob at its lowest point as the reference level, determine the total mechanical energy...
A simple pendulum has a length L and a mass m. At its highest point, the pendulum mass is 0.25L above its lowest point (see figure below). What is the speed of the mass when it is at its lowest point? Express your answer in terms of m, L, and g. v = The position of a mass-on-a-spring oscillator is given by y = A sin(20t), where the value of t is in seconds and A = 0.44 m. What...
The angular frequency ω of a simple pendulum with mass m and center-of-mass length L is calculated as what?
A simple pendulum (mass M and length L) is suspended from a cart of mass m that moves freely along a horizontal track shown at right. You might find it helpful to introduce the dimensionless parameters η-m/M and wo- /g/L. a What are the normal frequencies of small oscillations of the system (0 <1)? b Find and describe the corresponding normal modes of the system. c The cart/pendulum systern is held at rest in the configuration x-0 and θ K...
Question 5
John is living on 2/F at building A, he always complaint about the
traffic noise from the
highway nearby. John’s flat is approximately 6 m height and 12 m
away a noise barrier.
The 3 m height noise barrier is installed at a distance of 6 m away
vehicles, which
generates 78 dB(A) sound power level. Express the site condition in
graphical format.
What is the magnitude of sound pressure level heard by John at
2/F?
Question 5...
A simple pendulum consists of a ball of mass M hanging from a uniform string of mass m and length L, with m << M. (a) If the period of oscillations for the pendulum is T, derive an expression for the speed of a transverse wave in the string when the pendulum hangs at rest in terms of m, M, T and g (the acceleration due to gravity). Your expression should not include L. (b) If the string is made...