A particle executes simple harmonic motion. If you are told that its velocity at this instant is zero, can you say what is the displacement? If you are told that its velocity at this instant is maximum, can you say what is its displacement?
Answers
Answer ⇒ Yes.
Explanation ⇒ A Particle following the Simple Harmonic Motion, will be having the zero velocity at the extreme position and the maximum velocity at the mean position.
This is because, As per as the Formula of the velocity,
v² = ω²(A² - x²)
where, ω is the angular frequency of the S.H.M. and A is the Amplitude and x is the distance which the particle in S.H.M Travels from the mean position.
Now, x = A, at extreme.
∴ v² = ω²(A² - A²)
∴ v = 0
This means, it comes to rest at the extreme positions.
Also, when x = 0,
v = ± ωA, it is maximum.
Thus, we can say that by knowing the velocity we can determine the position.
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Hope it helps.
To calculate the particle's displacement using its velocity, its mean direction must be known at any moment.
Explanation:
- No, we can't say anything of the information provided.
- To calculate the particle's displacement using its velocity, its mean direction must be known at any moment.
Displacement:- Displacement is the shift of movement of an object, measuring only from its initial position up to its final position.
Velocity:- Velocity is represented as measuring the rate and path of motion by vector. Simply put, speed is the velocity at which something flows in one way
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