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the angular velocity of a rotating rigid body about an axis of rotation is given by w=2i+j-2k.Find the linear velocityof a point P on the body whose position vector relative to a point on the axis of rotation is 2i-3j+k.

the angular velocity of a rotating rigid body about an axis of rotation is given by w=2i+j-2k.Find the linear velocityof a point P on the body whose position vector relative to a point on the axis of rotation is 2i-3j+k.

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Position vector and annular velocity vector is given
Now to find linear velocity
V = r X w
V = (2i-3j+k) x (2i+j-k)
V = 2k +2j +6k +3i +2j - i
V = 2i + 4j + 8k

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