Solution Found!
The velocity of an object undergoing simple harmonic
Chapter 13, Problem 7CQ(choose chapter or problem)
QUESTION:
Problem 7CQ
The velocity of an object undergoing simple harmonic motion is given by v = −C sin(Dt). Explain the physical significance of the constants C and D. What are the amplitude and period of this object's motion?
Questions & Answers
QUESTION:
Problem 7CQ
The velocity of an object undergoing simple harmonic motion is given by v = −C sin(Dt). Explain the physical significance of the constants C and D. What are the amplitude and period of this object's motion?
ANSWER:
Step 1 of 2
The equation for a simple harmonic motion is given by, …..(1)
Here,
displacement
amplitude of the motion
angular frequency
If we differentiate equation (1),
…..(2)
Here, is the velocity of the object.