A rigid body rotates with constant angular velocity about the line whose vector…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A rigid body rotates with constant angular velocity

\omega

about the line whose vector equation is,

\mathbf{r} = \lambda(\hat{i} + 2\hat{j} + 2\hat{k})

. The speed of the particle at the instant it passes through the point with position vector

(2\hat{i} + 3\hat{j} + 5\hat{k})

is equal to (1)

\omega\sqrt{2}

(2)

2\omega

(3)

\omega/\sqrt{2}

(4) None of these