The position vector of a particle of mass 2.20 kg as a function of time is given by ř = (6.00 î + 4.10 t j), where řis in meters and t is in seconds. Determine the angular momentum of the particle about the origin as a function of time. k) kg - m²/s
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- A small Particle of mass 50 gram fired horizontally at a speed of 8 m/s . When it collides and embedded to the edge of a uniform solid cylinder who is initially at rest, the cylinder rotates freely about its axis through its center perpendicular to the page. If the cylinder has a mass of 0.6 kg and a radius of 20 cm, How much kinetic energy is lost in the collision? After Before O A. 1.4 J OB. 2.8 J О С. 3.2 J O D. 4.4 J O E. 1JProblem 3: Rotation axis- Particle A thin rod of length L and mass M rotates at angular speed w anti-clockwise. A downwards particle of mass * and speed vo hits the rod at distance d from the rod's axis and perpendicular to the rod. The particle then sticks onto the rod at its impact point. (a) At what value of d are the rod and particle stationary after the hit? (b) If d is greater than the value found in (a), in which direction do the rod and particle rotate?