Question

3. A smooth horizontal rod of length \( \ell = 1 \) m and mass \( M = 3 \) kg with a sleeve of mass \( m = 1 \) kg initially getting at end A is rotated with an initial angular velocity \( \omega_0 = 10 \) rad/s. When the sleeve reaches the other end B, which of the following options is/are correct. (Take \( g = 10 \) m/s²) (A) The velocity of sleeve relative to the rod is \( 5\sqrt{2} \) m/s. (B) The velocity of sleeve relative to the ground is \( 5\sqrt{3} \) m/s (C) The normal force acting on the sleeve is \( 25\sqrt{2} \) newton (D) The normal force acting on the sleeve is \( 15\sqrt{6} \) newton.

          3.
A smooth horizontal rod of length \( \ell = 1 \) m and
mass \( M = 3 \) kg with a sleeve of mass \( m = 1 \) kg
initially getting at end A is rotated with an initial
angular velocity \( \omega_0 = 10 \) rad/s. When the sleeve
reaches the other end B, which of the following
options is/are correct. (Take \( g = 10 \) m/s²)
(A) The velocity of sleeve relative to the rod is \( 5\sqrt{2} \) m/s.
(B) The velocity of sleeve relative to the ground is \( 5\sqrt{3} \) m/s
(C) The normal force acting on the sleeve is \( 25\sqrt{2} \) newton
(D) The normal force acting on the sleeve is \( 15\sqrt{6} \) newton.
        
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3.
A smooth horizontal rod of length ℓ = 1 m and
mass M = 3 kg with a sleeve of mass m = 1 kg
initially getting at end A is rotated with an initial
angular velocity ω0 = 10 rad/s. When the sleeve
reaches the other end B, which of the following
options is/are correct. (Take g = 10 m/s²)
(A) The velocity of sleeve relative to the rod is 5√(2) m/s.
(B) The velocity of sleeve relative to the ground is 5√(3) m/s
(C) The normal force acting on the sleeve is 25√(2) newton
(D) The normal force acting on the sleeve is 15√(6) newton.

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Objective Physics for NEET
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3. A smooth horizontal rod of length ( ell=1 mathrm{~m} ) and mass ( M=3 mathrm{~kg} ) with a sleeve of mass ( m=1 mathrm{~kg} ) initially getting at end ( A ) is rotated with an initial angular velocity ( omega_{0}=10 mathrm{rad} / mathrm{s} ). When the sleeve reaches the other end ( B ), which of the following options is/are correct. (Take ( g=10 mathrm{~m} / mathrm{s}^{2} ) )(A) The velocity of sleeve relative to the rod is ( 5 sqrt{2} mathrm{~m} / mathrm{s} ).(B) The velocity of sleeve relative to the ground is ( 5 sqrt{3} mathrm{~m} / mathrm{s} )(C) The normal force acting on the sleeve is ( 25 sqrt{2} ) newton(D) The normal force acting on the sleeve is ( 15 sqrt{6} ) newton.
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