Solution Found!
An earthquake-produced surface wave can be approximated by a sinusoidal transverse wave
Chapter 11, Problem 45P(choose chapter or problem)
Problem 45P
An earthquake-produced surface wave can be approximated by a sinusoidal transverse wave. Assuming a frequency of 0.50 Hz (typical of earthquakes, which actually include a mixture of frequencies), what amplitude is needed so that objects begin to leave contact with the ground? [Hint: Set the acceleration a > g.]
Questions & Answers
QUESTION:
Problem 45P
An earthquake-produced surface wave can be approximated by a sinusoidal transverse wave. Assuming a frequency of 0.50 Hz (typical of earthquakes, which actually include a mixture of frequencies), what amplitude is needed so that objects begin to leave contact with the ground? [Hint: Set the acceleration a > g.]
ANSWER:
Solution 45P:
Step 1 of 2:-
Here we have to find the amplitude at which the objects will begin to leave contacts with ground.
The frequency of the earthquake is: .
When the object loses its contact with ground, the normal force must be zero on it.
The force acting on the it will be the weight of it.
The acceleration produced by the earthquake must be greater than the acceleration due to gravity, so that the object would begin to lose contact with the ground..
So, -------------------(1)