Question

1. A small sphere (Fig. 3-1) has the position and velocity indicated in the figure and is acted upon by the force F. Determine the angular momentum $\vec{H}_O$ about point O and its time derivative $(\dot{\vec{H}}_O)$. (Hint: for the time derivate of angular momentum you can use the principle of angular momentum) (20 points)

          1. A small sphere (Fig. 3-1) has the position and velocity indicated in the figure and is acted
upon by the force F. Determine the angular momentum $\vec{H}_O$ about point O and its time
derivative $(\dot{\vec{H}}_O)$. (Hint: for the time derivate of angular momentum you can use the principle
of angular momentum)
(20 points)

1. A small sphere (Fig. 3-1) has the position and velocity indicated in the figure and is acted
upon by the force F. Determine the angular momentum H⃗O about point O and its time
derivative (Ḣ⃗̇O). (Hint: for the time derivate of angular momentum you can use the principle
of angular momentum)
(20 points)

Added by Timothy Z.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Varsha Aggarwal

Step 1

- Mass of the sphere: m = 5 kg - Position vector from point O: r = (6, 4, 3) m - Velocity of the sphere: v = 5 m/s in the positive z-direction - Force acting on the sphere: F = 10 N in the positive z-direction - Point O is at the origin of the coordinate system Show more…

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A small sphere Fig.3-T has the position and velocity indicated in the figure and is acted upon by the force F. Determine the angular momentum Ho about point O and its time derivative (dHo/dt). (Hint: for the time derivative of angular momentum, you can use the principle of angular momentum) (20 points) F = 10N m = 2 kg v = 5 m/s d = 6m Fig.3-1