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Can you help me with this mechanics problem?

Note by Kyle Finch
2 years, 1 month ago

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@Raghav Vaidyanathan the problem is in the middle. · 2 years, 1 month ago

I have rotated the image. $$\huge\ddot\smile$$ · 2 years, 1 month ago

U can tell me the solution . ??? · 2 years, 1 month ago

A disc has an angular velocity? · 2 years, 1 month ago

$$\text{angular velocity}=\dfrac{\text{Relative velocity perpendicular to line joining them}}{\text{Distance between them}}$$

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, $$\omega_2=\dfrac{\omega R\cos 30^\circ+\omega R\cos 30^\circ}{\sqrt{3}R}=2\omega_1\Rightarrow \dfrac{\omega_1}{\omega_2}=\dfrac{1}{2}$$ · 2 years, 1 month ago

Well indeed very nice by the way how was ur mains exam · 2 years, 1 month ago

Not too good. Getting just 275. · 2 years, 1 month ago

Was the physics section tough?? · 2 years, 1 month ago

It was NCERTish. I must not blame questions for my marks. I don't like EM. · 2 years, 1 month ago

So who among all of you is supposed to get the highest. · 2 years, 1 month ago

Ronak Agrawal (on Brilliant) · 2 years, 1 month ago

Ok just one last query what makes a problem popular on brilliant. Can u tell ronaks score · 2 years, 1 month ago

He's getting like 315-320. The quality of problem makes it popular! · 2 years, 1 month ago

Bhavya Is getting 322.I guess?? · 2 years, 1 month ago

Yes, he does · 2 years, 1 month ago

No i m asking do the staff member decide or the moderators · 2 years, 1 month ago

$$\omega$$ · 2 years, 1 month ago