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Two particles P and Q describe coplanar concentric circles of radii a and a' with angular velocities omega andomega', (in the same sense ) respectively. If the angular velocity of P with respect to Q is x, then fill (49x)/(12) in OMR sheet. Take theta = (2pi)/(3), a = 2m, a' = 1m, omega = 2 "rad/s&" omega' = 1 "rad/s". |
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Answer» <P> `V_(P) = a_(w)` and `V_(Q) = a' omega'` respectively Now the angluar velocity of P relative to Q is `omega_(r ) = (a omega cos d + a' omega' cos beta)/(d)` `= (a omega [(a^(2) + d^(2) - a^('2))/(2AD)] + a' omega' [(a^('2) + d^(2) - a^(2))/(2a'd)])/(d)`  `= ((omega + omega'))/(2) + ((omega + omega') (a^(2) - a^('2)))/(2 (s^(2) + a^('2) - 2 a a' cos theta))` If `omega_(r ) = 0` then`cos theta = (a^(2) omega + a^('2) omega')/(2a a' (omega + omega))` |
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