Friction..

Two trolleys 1 1 and 2 2 are moving with accelerations a 1 a_1 and a 2 a_2 respectively in the same direction. A block of mass m m on trolley 1 1 is in equilibrium from the frame of observer stationary with respect to trolley 2 2 . Find the magnitude of friction on the block due to the trolley.

Assume: No horizontal force other than friction is acting on the block.

m a 1 ma_1 m ( a 1 a 2 ) m(a_1-a_2) m a 2 ma_2 m ( a 1 + a 2 ) m(a_1+a_2)

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