Mechanical Engineering - Theory of machines - Discussion

Discussion Forum : Theory of machines - Section 10 (Q.No. 33)
33.
In a simple harmonic motion, the velocity vector with respect to displacement vector
is in phase
leads by 90°
leads by 180°
lags by 90°
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
9 comments Page 1 of 1.

Vinay BEL said:   5 years ago
It Leads by 90°.

Karthic7 said:   6 years ago
Displacement X= r cos(θ)
Diff. It.

Velocity V= r (- sin(θ)).
V= r cos(90+θ).
So that, Velocity leads by 90 °.

Desai Mayur said:   6 years ago
x = rcoswt and therefore,
v = -rwcoswt = rwcos(90+wt)

It means clearly, velocity vector leafy by 90° to displacement vector.

Dev said:   7 years ago
No, displacement is cosine and velocity is sine fn.

Yash sankhala said:   7 years ago
Yes, right @Chahat.

But the displacement is sinu fn & velocity is cosine fn if you said sinusoidal leads cosine fn by 90. Then displacement leads velocity by 90. Then the answer is correct for that velocity legs displacement by 90.

Correct me if I am wrong.

Anil said:   7 years ago
It Leads by 90°.

Chahat said:   8 years ago
Leads is correct as,

Displacement curve is cos fn.
And velocity fn is sinusoidal.
And sinusoidal leads cos function by 90°

Lokesh said:   8 years ago
Leads by 90° is the right answer.

Kishor said:   8 years ago
It should be Leads by 90°.

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