## Answers

use conservation COM M. of rod rotating along To find rotational ke when system moves to barizonte position, we will energy Initially, Potential Eningy. [KE.aol Potential energy of rod mge [massa Potential energy of bell migletro = Ei= mgh at hig(eter) when Ayl system in benizontal position PELO so only Rotational Rottional Ke = Ei mgl ringlets) 0.8889.8x18x1e't 5'+(1.299.8 (b) To calculate angular speed first we need to calculate moment of Inertia. Moment of Inential and moment of Inential of ball about the origin rotation - mui²= m.

Cut us k.G. 2 122.2 3.45 Joule one end of

So Rotational energy $(1+1, )w? ( met n m' Clts)") wa ( 0.8 x (910)+1:260,16+0.04%)"}w? using Pont (9) result 2 3 3.45= 1 (0.07 ) w2 2 (ع) =) 9.83 rad Isec So angular speed = 9.83 Since linear speed, a wir ball rotater in a circle of rading (dter? So Since w = 9.83 9.836:18+0.047) a = 2.23 mis. velocity of ball at horizontal = 2.23 m/s. رہنما را →

(01) for free full Initial Energy - mg Ultr) 1-2x9.8( .187.043) = 2.67J Energy at horizontal position - Imu? = x 1-2x v² 4²x1.2 = 2-67 2 VE 3:11 mis So eration Veo free fall 2.23 2-11 - 1.06

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