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

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