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In the question number 77, the force act...

In the question number 77, the force acting 011 thr particle is

A

`momega^(2)overset(rightarrow)(r)`

B

`-momega^(2)overset(rightarrow)(r)`

C

`2momega^(2)overset(rightarrow)(r)`

D

`-2momega^(2)overset(rightarrow)(r)`

Text Solution

Verified by Experts

The correct Answer is:
B
`Given,: bar(r)=A cos omegahati+B sin omegathati`
`"Velocity", bar(v)=(d barr)/(dt)=(d)/(dt)(A cosomegat hati+Bsin omegathatj)` `=-A omegasin omegahati+B omega cos omegahatj`
`"Acceleration", bar(a)=(dbar(v))/(dt)=-Aomega^(2) cos omegat^(2)-Bomega^(2)sin omegathatj`
The force acting on the particle is `bar(F)=mbar(a)=m(-omega^(2)bar(r))=-momega^(2)bar(r)`
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