SATHEE: Rotational Motion Question 188

Rotational Motion Question 188

Question: A and B are moving in 2 circular orbits with angular velocity 2 $ω$ and $ω$ respectively. Their positions are as shown at $t = 0$ . Find the time when they will meet for the first time.

Options:

A) $\frac{π}{2 ω}$

B) $\frac{3 π}{2 ω}$

C) $\frac{π}{ω}$

D) they will never meet

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Case 1: When they rotate in same sense

$2 m π = 2 ω t$

$\frac{3 π}{2} + 2 n π = ω t; 2 m π = 2 (\frac{3 π}{2} + 2 n π)$

$2 m = 3 + 4 n; m = \frac{3}{2} + 2 n \Rightarrow m - 2 n = \frac{3}{2}$

Not possible for m and n being integer.

Case 2: When they rotate in opposite sense

$\frac{π}{2} + 2 n π = ω t; 2 m π = 2 (\frac{π}{2} + 2 n π)$

$2 m π = π + 4 n π; 2 m - 4 n = 1$

Not possible for m and n integer.

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Rotational Motion Question 188

Question: A and B are moving in 2 circular orbits with angular velocity 2ω and ω respectively. Their positions are as shown at t=0 . Find the time when they will meet for the first time.

Options:

Answer:

Solution:

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Question: A and B are moving in 2 circular orbits with angular velocity 2 $ω$ and $ω$ respectively. Their positions are as shown at $t = 0$ . Find the time when they will meet for the first time.