How Do You Calculate Angular Momentum for a Particle in Motion?

AI Thread Summary
To calculate the angular momentum of a particle, use the formula L = r x p, where L is angular momentum, r is the position vector, and p is the linear momentum. For a 60-g particle at coordinates (7.0 m, -6.0 m) with a velocity of (2.0i - 8.0k) m/s, first convert the mass to kilograms (0.060 kg) and find the position vector r = (7.0i - 6.0j) m. The linear momentum p is calculated as p = mv, resulting in p = (0.060 kg)(2.0i - 8.0k) m/s. Finally, compute the cross product of r and p to find the angular momentum L about the origin. Understanding these calculations is essential for determining the angular momentum of a particle in motion.
Vickie02
Messages
1
Reaction score
0
Determine the angular momentum of a 60-g particle about the origin of coordinates when the particle is at x= 7.0 m, y= -6.0 m, and the velocity is v=(2.0i - 8.0k) m/s.


I don't know where to begin beyond L= I(omega)...

Any help at all would be greatly appreciated

Thanks :)
 
Physics news on Phys.org
What's the angular momentum of a particle?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top