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A force vec(F)=(-y hat(i)+ x hat(j))N acts on a particle as it moves in an anticlockwise circularmotion in x-y plane. The centre of the circle is at the origin. If the work done by the force is 32 pi J in one complete revolution then asSigmaingx, y to be in meters, find the radius of the path. |
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Answer» Solution :The force is perpendicular to the radius vector `VEC(R)= x HAT(i)+ y hat(J) rArr` Force is TANGENTIAL Torque `| tau|=R|vec(R)|=R sqrt(x^(2)+y^(2))=R^(2)` `W= int_(0)^(theta) tau d theta = R^(2)2 pi` `R^(2)2 pi = 32 pi rArr R=4 m` |
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