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Rotational Motion question

2020 · 8 Jan · Shift 1 · Q43
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  5. /2020 · 8 Jan · Shift 1 · Q43

Rotational Motion question

2020 · 8 Jan · Shift 1 · Q43

JEE MainPhysicsRotational MotionMCQ+4 / −1
Consider a uniform rod of mass M = 4m and length ℓ\ellℓ pivoted about its centre. A mass m moving with velocity v making angle θ=π4\theta = {\pi \over 4}θ=4π​ to the rod's long axis collides with one end of the rod and sticks to it. The angular speed of the rod-mass system just after the collision is :
  1. A
    327vℓ{{3\sqrt 2 } \over 7}{v \over \ell }732​​ℓv​
  2. B
    37vℓ{3 \over 7}{v \over \ell }73​ℓv​
  3. C
    372vℓ{3 \over {7\sqrt 2 }}{v \over \ell }72​3​ℓv​
  4. D
    47vℓ{4 \over 7}{v \over \ell }74​ℓv​
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