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Two thin circular discs of mass 2 kg and radius 10 cm each are joined...

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Two thin circular discs of mass 2 kg and radius 10 cm each are joined by a rigid massless rod of length 20 cm The axis of the rod is passing through the centres of the discs Fig 2 35 The whole arrangement is kept on a moving truck in such a way that the axis of the arrangement is horizontal and perpendicular to the direction of the motion of the truck The friction of the floor is such that the arrangement can roll on the floor of the truck without slipping Take x axis along the direction of motion of the truck and z axis along the vertically upward direction If the truck has an acceler ation of 9 m s 2 calculate i the force of friction on each disc ii the magnitude and the direction of the frictional torque acting on each disc about the centre of mass O of the arrangement Express the torque in the vector form in terms of unit vectors i j and k along the x y and z directions respectively i f 6 N i ii 7 0 6 N m j 0 6 N m k 20 cm Fig 2 35

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