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Most Important Selected Qs for JEE AdvancedPhysicsRotational Motion

A uniform rod O A B is bent in L shape to form right angle at A . Length of O A is L and that of A B is L 2 respectively as shown in figure. The rod is hinged at the end O and is free to rotate in a vertical plane about O . It is set free from rest, when larger section of it is in horizontal position. Maximum angular acceleration of rod is 65 ~K ~g . The value of K is

Correct answer

7

Step-by-step solution

Let A, B, and C be C.M. of larger section, smaller section and total rod aligned & C^ = L 12 , A C^ = L 6 & O C= ( L 2 + L 6 )^2+ ( L 12 )^2 ^ 1 2 = & 65 12 ~L aligned Moment of inertia about ' O ' I = 7 8 ML ^2 Maximum torque of about 'O' array r _ = 3 Mg 2 ( OC ) _ = _ I = 65 7 ( ~g ~L ) array

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