Aparticle is acted on by two torques about the origin: τ→1 has a magnitude of 8 n·m and is directed in the positive direction of the x axis, and τ→2 has a magnitude of 8.9 n·m and is directed in the negative direction of the y axis. in unit-vector notation, find d⁢ℓ→/d⁢t, where ℓ→ is the angular momentum of the particle about the origin.

To give solution to the exercise we must use the concepts of Torque, Vector magnitude and vector direction of the forces.

For the given problem we have to

In this way the torque acting on the particle as a function of distance and time is,

The net torque acting on the particle is

PART B) The direction of the torque is given by,

Therefore the torque direction is 48.04° below the x axis.

causes

fossil fuels burn

cities become more industrialized

human population grows worldwide

energy stored in the capacitor= 9.72 x 10⁻⁴ j

explanation:

the energy stored in the capacitor is given by

e= 1/2 c v²

e= energy stored

c= capacitance= 1.5 µc= 1.5 x 10⁻⁶f

v= potential difference=36 v

so energy stored= e= 1/2 (1.5 x 10⁻⁶) (36)²

energy stored= 9.72 x 10⁻⁴j