Not sure how to do this angular momentum, torque?

[Raylyn]

1. A particle at r = 2x +y + 3z (in m) is acted upon by a force F= 5x - 4y-6z (in N). What is the torque on this object (in Nm)?

2. A 3 kg particle at r = 1x + 2y - 3z (in m) has a velocity v +4x +6y -5z (in m/s). What is the angular momentum of this object (in kg m^2/s)?

 

[tiny-tim]

Welcome to PF!

1. A particle at r = 2x +y + 3z (in m) is acted upon by a force F= 5x - 4y-6z (in N). What is the torque on this object (in Nm)?

2. A 3 kg particle at r = 1x + 2y - 3z (in m) has a velocity v +4x +6y -5z (in m/s). What is the angular momentum of this object (in kg m^2/s)?

Hi Raylyn! Welcome to PF!

Your questions don't make sense … a torque or an angular momentum has to be measured about a particular point, and your questions don't mention one.

If it means what is the torque or angular momentum about the origin (0,0,0), then you must use the cross-product r x F or r x mV.

 

[thomate1]

I would suggest using the fundamental equations for torque and angular momentum to solve these problems. For the first problem, the torque can be calculated by taking the cross product of the position vector (r) and the force vector (F). This will give us a vector quantity, which can be converted to a scalar by taking its magnitude. The final answer will be in Newton-meters (Nm).

For the second problem, the angular momentum can be calculated by taking the cross product of the position vector (r) and the velocity vector (v). Again, this will give us a vector quantity, which can be converted to a scalar by taking its magnitude. The final answer will be in kilogram meters squared per second (kg m^2/s).

It is important to note that both torque and angular momentum are vector quantities, meaning they have both magnitude and direction. Therefore, it is important to pay attention to the direction of the vectors used in the calculations and make sure they are consistent throughout. Additionally, make sure to use the correct units for each quantity in order to get the correct final answer. I hope this helps guide you in solving these problems.