Angular momentum using unit-vector notation

AI Thread Summary
The discussion focuses on calculating the angular momentum and torque of a 0.25 kg object under the influence of a force F: 4.0j N. The position vector is given as (2.0t - 2.0k) m, and the velocity vector is (-5.0i + 5.0k) m/s. For angular momentum, the formula involves the cross product of the position vector and momentum vector, which requires careful computation. The torque is calculated using the provided formula, emphasizing the need to perform a cross product involving the force and position vectors. Overall, the thread highlights the importance of understanding vector notation and cross products in solving angular momentum and torque problems.
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Homework Statement



At one instant, force F: 4.0j N acts on a 0.25 kg object that has position^vector^V : (2.0t - 2.0k) m and velocity vector /: (-5.0i + 5.0k) m/s. About the origin and in unit- vector notation, what are (a) the object's angular momentum and (b)the torque acting on the object

m = .25kg
f = (4.0 N)j
v = (-5i + 5k)

Homework Equations



Torque = (Yz-Zy)+(Zx-Xz)+(Xy-Yx)
KE= 1/2mv^2 + 1/2lw^2

The Attempt at a Solution



A) not quite sure where to start with A

B) (2i + 4j -2k)*(-5i + 4j +5k)
((4*-2)-(5*4)) - ((-2*5)-(-5*-4))-((2*4)-(4*2))
 
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Just remember that angular momentum is given by:$$\stackrel{\rightarrow}{l} = \stackrel{\rightarrow}{r} \times \stackrel{\rightarrow}{p}$$ So finding it just means doing another cross product.
 
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