A force F⃗ = aî + 3ĵ + 6k̂ is acting at a point r⃗ = 2î − 6ĵ − 12k̂. The value of ω for which angular momentum about origin is conserved is:

Question

Accepted Answer

zero. Angular momentum is conserved when the net torque acting on the system is zero. Torque is given by τ⃗ = r⃗ × F⃗. Substituting the given vectors, the cross product results in a non-zero torque unless ω = 0. Hence, angular momentum is conserved when ω = 0.

A force F⃗ = aî + 3ĵ + 6k̂ is acting at a point r⃗ = 2î − 6ĵ − 12k̂. The value of ω for which angular momentum about origin is conserved is:

Solution

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