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Can you help me with this mechanics problem?

Note by Kyle Finch
2 years, 8 months ago

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@Raghav Vaidyanathan the problem is in the middle.

Kyle Finch - 2 years, 8 months ago

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I have rotated the image. \(\huge\ddot\smile\)

Pranjal Jain - 2 years, 8 months ago

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U can tell me the solution . ???

Kyle Finch - 2 years, 8 months ago

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@Kyle Finch A disc has an angular velocity?

Pranjal Jain - 2 years, 8 months ago

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@Pranjal Jain \(\text{angular velocity}=\dfrac{\text{Relative velocity perpendicular to line joining them}}{\text{Distance between them}}\)

By simple geometry, \(\angle AOP=30^\circ\)

Case I: \(A\) is fixed to ground, so, the velocity of \(P\) will be \(\omega R\) at angle \(120^\circ\) to the line joining \(AP\), thus, \(\omega_1=\dfrac{\omega R\cos 30^\circ}{\sqrt{3}R}\)

Case II: \(A\) is fixed to disc, in this case, velocity of \(A\) will add up in relative velocity. In this case also, velocity of \(A\) will be \(\omega R\) at angle \(60^\circ\) to the line joining \(AP\). Thus, \(\omega_2=\dfrac{\omega R\cos 30^\circ+\omega R\cos 30^\circ}{\sqrt{3}R}=2\omega_1\Rightarrow \dfrac{\omega_1}{\omega_2}=\dfrac{1}{2}\)

Pranjal Jain - 2 years, 8 months ago

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@Pranjal Jain Well indeed very nice by the way how was ur mains exam

Kyle Finch - 2 years, 8 months ago

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@Kyle Finch Not too good. Getting just 275.

Pranjal Jain - 2 years, 8 months ago

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@Pranjal Jain Was the physics section tough??

Kyle Finch - 2 years, 8 months ago

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@Kyle Finch It was NCERTish. I must not blame questions for my marks. I don't like EM.

Pranjal Jain - 2 years, 8 months ago

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@Pranjal Jain So who among all of you is supposed to get the highest.

Kyle Finch - 2 years, 8 months ago

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@Kyle Finch Ronak Agrawal (on Brilliant)

Pranjal Jain - 2 years, 8 months ago

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@Pranjal Jain Ok just one last query what makes a problem popular on brilliant. Can u tell ronaks score

Kyle Finch - 2 years, 8 months ago

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@Kyle Finch He's getting like 315-320. The quality of problem makes it popular!

Pranjal Jain - 2 years, 8 months ago

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@Pranjal Jain Bhavya Is getting 322.I guess??

Parth Lohomi - 2 years, 8 months ago

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@Parth Lohomi Yes, he does

Pranjal Jain - 2 years, 8 months ago

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@Pranjal Jain No i m asking do the staff member decide or the moderators

Kyle Finch - 2 years, 8 months ago

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@Pranjal Jain \(\omega\)

Kyle Finch - 2 years, 8 months ago

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