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ROTATIONAL MOTION, (Rigid Body Dynamics), internal points, Rigid Body: If distance between two, There is no, dosen't change in a body that is rigid Body., perfect rigid body., Rod, cylinder, sphere,, disc etc., But, we, assume, as rigid bodies in rotational motion., A, 4., B, Types of motion,, 1., Translation motion :, motion, in, which the line drawn, two, internal points is always, itself during the motion, move parallel to each other, line, ý straight, rectilinear translation., curve motion, curvilinear, YB, A, any, parallel, motion., •* AN Particle, *, of, motion is, to, this parallel path, said, to be, b/w, remains, is a translation, then the, Translation

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Rotational motion, 2, A motion, A Pivot (fix., FB, 3, particles move in a, path about, ●, The, two internal points does, Koning, line joining, remain parallel., not, particles Show circular motion, 3. Planar motion, leg. Rolling, A, A, I, Translational +, Rotational., planar, motion, motion, # Rotational motion, All internal particles show circular motion, 8 rotation., about, axis., [Pivot is not necessery], X, Rotation, about, Com: (No pivot), (Spin motion), of, you give sudden impulse, sudden impulse of torque which, is, not acting, on, Com, body will, spin., in which all internal, của lai, fixed axis., ر

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Here., linear, S, V, at fac, F (force), F = ma, S, Bar has linear, Pivot, m (mass), P (momentum), to, V=rw, ४, & angular displacement., Angular, Ө, W, x, # Introduction, V₁=, mir at, Vaug = DS, Waug, st, Sw, Direction, q, w is given by Right hand thumb rule., out, • is along, axú, of, rotation., (Torque), √ T = I x, I (moment of Inertia), L (Angular momenton), d, Anet, O radian, do, S, V, W, at, ac,, V-Tangential, |S=00, Wint, =, dt, = 10, At

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ý, Same for, Angula velocity, points of rotating Body., all, 30., ●, linear, Velocity is different, for different points., V t, εγω, V₁ = r, w, VB, = 8₂0, Angula velocity of pivoted particle is zero., In Vector form:, V = w x y, [V=Yw is not always true, v=rw, Tw, of 0 = 2t², find w & Vt at t=2s, if R = 3m₁, w = do, ut, =, d (²+²), dt, =, = 4 (2) = 8 rad /see, dt, 166, = RW = 3 (8) = 24 m/s, t+y, find o at t = 25 if 0=0°, +4, revolution made, no., 8, Soft, Vt, 8² of W =, at t=0, in two seconds., w = do, dt, -0, Also calwlate, A, W, B, A

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B, 0₂, Jdo, |do = w dt, Di, 0₂-0₁, 2 f(t² + 4) d+, 1, Boti, batz, 0₂ - 0 = [ + ³] + [(4 +) wat, 2, 0₂ -0,₁ = [ 3³ ] 0², [4+] ², 0₂ = 32 rad, 2, 3, спе, revolution, 0, +, 8, =, 0 = 2 a 360°, 1 revolution, [1, 1 rad, = 1 rev., 271, Orad, 10) rev., 271, no. of revolution, 0, 271, 2016, 3TT, No. of revolution, =, 3 (2) 7, For any point on rotating Body, (v) changes, → here, acceleration, 1ac = V², R, 0, (V) also changes when magnitude change., Here acceleration developed in, (AN/ar) (at) = d/Vel, dt, at // Vt ( When v is incaring), at anti // Vt (when Vf is decreasing), For, +, 32, Z, =, AD, changes, & velocity, 8, acc. developed is centripetal, Body direction, (R→ distance of that point, from pivot or axoba of, rotatia, acceleration, (if velocity), is incely, tangential, ·ac, (ib v↓), ACA, AVE, Yat