1.

Two particles (A) and (B) are connected by a rigid rod ` AB`. The rod slides along perpendicular rails as shown here. The velocity of (A) to the left is ` 10 m//s`. What is the velocity of (B) ange ` alpha = 30^@`. .A. (a) ` 9.8 m//s`B. (b) ` 10 m//s`C. ( 5.8 m//s`D. ( `17 .3 m//s`

Answer» Correct Answer - D
Let particle (B) move upwards with velocity (v). At an instant. Let ` OA = x ` and ` OB = y, Ab =l `. Then ltbRgt ` X^2 + y^2 = l^@`
Differentating it with time (t) we have
` 2 x (dx0/(dt) + 2 y (dy)/(dt) =0`
`(dy)/(dt)=- x/y (dx)/(dt) =- (dx //dt)/(tan 30^2) =- 10 xx sqrt 3`
` =- 17. 32 m//s`.


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