A force F → = a i ^ + 3 j ^ + 6 k ^ is acting at a point r → = 2 i ^ - 6 j ^ - 12 k ^ . The value of a for which angular momentum is conserved is -

Question

A force F → = a i ^ + 3 j ^ + 6 k ^ is acting at a point r → = 2 i ^ - 6 j ^ - 12 k ^ . The value of a for which angular momentum is conserved is -, 0, 1, - 1, 2

MARKS App · Accepted Answer

Angular momentum will be conserved if τ = 0 i.e. r → × F → = 0 a 2 = 3 - 6 = 6 - 12 ∴ a = - 1

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