Ellen says that whenever the acceleration is directly proportional to the displacement of an object from its equilibrium position, the motion of the object is simple harmonic motion. Mary says this is true only if the acceleration is opposite in direction to the displacement. Which one, if either, is correct?
a. Ellen, because ?2 is directly proportional to the constant multiplying the displacement and to the mass.
b. Ellen, because ?2 is directly proportional to the mass.
c. Mary, because ?2 is directly proportional to the constant multiplying the displacement and to the mass.
d. Mary, because ?2 is directly proportional to the mass.
e. Mary, because the second derivative of an oscillatory function like sin(?t) or cos(?t) is always proportional to the negative of the original function.
e
You might also like to view...
If a boat is moving north at 15 kilometers per hour and a dog on that boat is running south at 8 kilometers per hour, what is the dog's velocity measured from the shore?
a. 7 kilometers north per hour. b. 23 kilometers north per hour. c. 15 kilometers north per hour. d. 150 mph east-south-east. e. 7 kilometers south per hour.
If 25 kg of ice at 0°C is combined with 4 kg of steam at 100°C, what will be the final equilibrium temperature (in °C) of the system?
A. 40 B. 20 C. 60 D. 100 E. 8
"Seeds" around which galaxies, clusters and walls grew may have been ___________ before inflation and recombination
a. caused by hot dark matter b. caused by baryons c. the result of the separation of the electromagnetic and weak forces d. the result of freezing water molecules shortly after the Universe became transparent to photons e. caused by initially tiny quantum mechanical fluctuations in space-time
When a 20.0-ohm resistor is connected across the terminals of a 12.0-V battery, the voltage across the terminals of the battery falls by 0.300 V. What is the internal resistance of this battery?
A) 3.60 ? B) 1.56 ? C) 0.98 ? D) 0.30 ? E) 0.51 ?