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A 1.6 kg particle moves in a circle of radius 3.1 m. As you look down...

A 1.6 kg particle moves in a circle of radius 3.1 m. As you look down on the plane of its orbit, the particle is initially moving clockwise. If we call the clockwise direction positive, the particle's angular momentum relative to the center of the circle varies with time according to L(t) = 10 N · m·s - (5.0 N · m)t.

(a) Find the magnitude and direction of the torque acting on the particle in N · m.
Is this torque acting upward or downward?

(b) Find the angular velocity of the particle as a function of time in the form ω(t) = A + Bt.
A =  rad/s
B =  rad/s2

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