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Question: A circular disc of radius r = 5 m is rotating in horizontal plane about y-axis. y-axis a vertical ax...

A circular disc of radius r = 5 m is rotating in horizontal plane about y-axis. y-axis a vertical axis passing through the centre of disc and x-z is the horizontal plane at ground. The height of disc above ground is h = 5 m. Small particles are ejecting from disc in horizontal direction with speed 12 m/s from the circumference of disc then the distance of these particles from origin when they hits x – z plane is –

A

5 m

B

12 m

C

13 m

D

None of these

Answer

13 m

Explanation

Solution

R = u2hgu \sqrt { \frac { 2 h } { g } } = 122×51012 \sqrt { \frac { 2 \times 5 } { 10 } } = 12 m

\ Distance from origin = 52+(12)2\sqrt { 5 ^ { 2 } + ( 12 ) ^ { 2 } } = 13 m