- #1

Gena

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## Homework Statement

A rod of mass M y length L can spin freely around a fixed point P, as shown in the picture. A bullet of mass m is shot perpendicular to the rod, and after impact, it is embedded into it. After impact the system realizes small oscillations, and that immediately after impact, the bullet had a velocity Vo=5m/s.

Determine the expression that represents the evolution of the angle in radians tat the rod forms with respect to the vertical direction (measured counter-clockwise). The time t is measured in seconds once the impact occurs.

Data:

m=0.2kg

L=1.2m

M=1.5kg

## Homework Equations

L=Iw

P=mv

I cm(rod)=(Ml²)/12

## The Attempt at a Solution

I calculated the initial angular velocity of he rod by using the formulas written in relevant equations, but i don't know how to calculate the angle of displacement in time with that information. The fact that the bullet travels along with the rod after hitting it is really confusing as i don't know if the moment of inertia of the system changes.