1.

Using constraint method find the relation between acceleration of 1 and 2.

Answer»

Solution :At any instant of time LET ` x_ and x_2 ` be the displacement of 1 and 2 from a FIXED line
Thenm ` x_1 + x_2 `= constant
` or x_1 + x_2 = l` ( length of string )
Differentiating with respect to time , we have ` v_1 + v_2 = 0 or v_1= -v_2`
Again differentiating with respect to time , we get ` a_1 + a_2 =0`
` or a_1 = -a_2`
This is the required relation between `a_1` and `a_2` , i.e., ACCELERATION of 1 and 2 are equal but in opposite DIRECTIONS . ,


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