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MHT CET202523 Apr 2025Evening ShiftPhysicsRotational MotionActual

What is the linear velocity if angular velocity =3 i -4 j + k and radius r =(5 i -6 j +6 k ) ?

Options

  1. A(-30 i -13 j -38 k )
  2. B(8 i -10 j +7 k )
  3. C(-18 i -13 j +2 k )
  4. D(-2 i -2 j -5 k )

Correct answer

C. (-18 i -13 j +2 k )

Step-by-step solution

The linear velocity is obtained from the cross product v = r where = 3 i - 4 j + k and r = 5 i - 6 j + 6 k . Computing the determinant: v = vmatrix i & j & k 3 & -4 & 1 5 & -6 & 6 vmatrix = i (-24 + 6) - j (18 - 5) + k (-18 + 20) = -18 i - 13 j + 2 k This result corresponds to option C. C

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