Questions
A force is acting at a point .
The value of for which angular momentum about origin is conserved is
detailed solution
Correct option is C
For the conservation of angular momentum about origin, the torque τ→ acting on the particle will be zero.By definition τ→=r→×F→ Here, r→=2i^-6j^-12k^ and F→=αi^+3j^+6k^∴ τ→=i^j^k^2-6-12α36=i^(-36+36)-j^(12+12α)+k^(6+6α)=-j^(12+12α)+k^(6+6α) But τ→=0∴ 12+12α=0 or α=-1 and 6+6α=0 or α=-1Talk to our academic expert!
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A disc rotates freely with rotational kinetic energy E about a normal axis through centre. A ring having the same radius but double the mass of disc is now, gently placed on the disc. The new rotational kinetic energy of the system would be
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