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If the velocity of a rotating body of mass 50 kg is given by V¯=3i¯+4j¯+5k¯ and radius vector r¯=2i¯+3j¯+4k¯, then its angular momentum is.

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a
50i¯+50j¯+50k¯
b
50i¯+100j¯+50k¯
c
50i¯+50j¯+100k¯
d
-50i¯+100j¯-50k¯

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detailed solution

Correct option is D

Angular momentum is given as L¯=m(r¯ x v¯)

r¯ x v¯=i^j^k^234345

=i^(15-16)-j^(10-12)+k^(8-9)=-i^+2j^-k^

L¯=m(r¯ x v¯)=50(-i^+2j^-k^)=-50i^+100j^-50k^

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