A) \[-(8\,m{{s}^{-2}})\,\hat{j}\]
B) \[(8\,m{{s}^{-2}})\,\hat{i}\]
C) \[(-4\,m{{s}^{-2}})\,\hat{j}\]
D) \[(4\,m{{s}^{-2}})\,\hat{i}\]
Correct Answer: B
Solution :
When object is at \[x=-m\,,\,\,v=-(4\,m{{s}^{-1}})\,\,\hat{j}\] As \[v=\omega \,r\] \[\therefore \] \[-4=\omega \times (-2)\]or \[\omega =2\,rad\,{{s}^{-1}}\] Now, when object is at \[y=2\,m,\,\,\omega =2\] \[\therefore \] Acceleration \[a={{\omega }^{2}}r={{(2)}^{2}}\times 2=8\,m{{s}^{-2}}\]
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