Consider the motion of a projectile P of mass m P = 18.5 kg, which is shot with

Question

Consider the motion of a projectile P of mass mP = 18.5 kg, which is shot with an initial speed vP = 1675 m/s as shown in the firgure. Ignore aerodynamic drag forces. Compute the projectile's angular momentum WRT the point O as a function of time from the time it exists the barrel until the time it hits the ground. 

Consider the motion of a projectile P of mass mP = 18.5 kg, which is shot with an initial speed vP = 1675 m/s as shown in the firgure. Ignore aerodynamic drag forces. Compute the projectile's angular momentum WRT the point O as a function of time from the time it exists the barrel until the time it hits the ground.

Explanation / Answer

choose O(0, 0)
at time t: vx = vpcos, vy = vpsin - gt

x = vpcos*t, y = vpsin*t - gt2/2

the projectile's angular momentum WRT the point O

= mp (x i + y j) x (vx i + vy j)

= mp [x*vy - y*vx]

= -mpvpgt2cos k

magnitude = mpvpgt2cos

direction: into the page

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---