Questions
The linear mass density, i.e., mass per unit length of the rope shown in fig. varies 0 to from one end
to another. The acceleration of the combined system of figure will be
detailed solution
Correct option is A
Consider a small mass dm of the rope at a distance x and x + dx as shown in fig.Linear mass density at x is given by λx=λLx∴dm=λxdx=λLxdxSo, m=∫0LλLxdx=λL[x22]0L=λL2If a be the combined acceleration, thena=FM+m=F[M+(λL/2)].Talk to our academic expert!
Similar Questions
In fig., the blocks are of equal mass. The pulley
is fixed. In the position shown, A moves with a speed u and the speed of B is v. Then
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