In the figure shown blocks A and B are kept on a wedge C. A, B and C each have mass m. All, surfaces are smooth. Find the acceleration of C.

Question

Infinity Learn · Accepted Answer

Let c be acceleration of wedge C.a be acceleration of block Aw.r.t. wedge c.b be acceleration of block. B w.r.t. wedge c.Applying Newton's law in horizontal direction to system of $$A+B+C$$.$$mc+mc$$−acos⁡$$37$$∘$$+mc+bcos$$⁡$$53$$∘$$=0$$    ……(1)Applying$$ Newton's law to block A and B along the incline gives. In case of A:mgsin⁡$$37$$∘$$=ma$$−ccos⁡$$37$$∘   …..$$(2) In case of B:mgsin⁡$$53$$∘$$=mb+ccos$$⁡$$53$$∘   …..(3)Solving$$ $$(1), (2), and (3), we get c $$=$$ $$0$$

In the figure shown blocks A and B are kept on a wedge C. A, B and C each have mass m. All, surfaces are smooth. Find the acceleration of C.

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