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Engineering

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The angular velocity of a rigid body rotating about an axis of rotation is
w = 5^i + 2^j - 4^k rad. per. sec. Determine the linear velocity of point B
on the body with a position vector r = 3^i - ^j + 3^k ft. directed from a
point on the axis of rotation.

Would the solution not simply be V= w X r
where w=5i+2j-4k
and r=3i-1j+3k

Giving (5i+2j-4k) X (3i-1j+3k) => Linear Velocity =2i-27j-11k ft per sec

The solution seems a little too simple.

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