A particle is acted on by two torques about the origin: T1 has a magnitude of 4.3 N*m and is directed in the positive direction of the x axis, and T2 has a magnitude of 3.2 N*m and is directed in the negative direction of the y axis. What are the magnitude [in N*m] and direction [counterclockwise from the +x axis] of dL/dt, where L is the angular momentum of the particle about the origin?
.. is there an equation that finds the magnitude of the net torques? help?
Add the torques as vectors.
T=I * angular acceleration is a VECTOR equation, as is
angularmomentum=I * angularvelocity
angular veloicty= wo + angacceleration*time
is also a vector equation. So add the vectors for T, solve for angacceleration, then solve for angular momentum.
Now on directions. When one indicates direction on a circular torque, or velocity, as in this case , use the right hand rule. Your stating the T1 is in the direction of x means it is rotating in the YZ plane, from Y to Z. I hope this is what you meant in the problem description.
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