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Question

Neglect friction. Find accelerations of m,2m and 3m as shown in the figure. The wedge (inclination=30o) is fixed.
239272_32a7fcabca854de5836158a592401cde.png

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Solution

Refer to the fig. Attached with the solution
Here we can see that when block A moves a distance x then it will free x length of the string
So, acc. Of block A=acc. Of the string=acc. of block C=acc. of block B in vertical direction=a (let's say)
Therefore acc. of block B in horizontal direction=a
Equilibrium eq. For block C
mgsin(30°)T=ma(equation1)
Equilibrium eq. for block B in vertical direction
T2mg=2ma(equation2)
Solving both equations we have a=g/2



720666_239272_ans_db60803f019b48fc8343452255c35b48.png

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