Questions
If the linear density of the rod of length L varies as
detailed solution
Correct option is B
As the rod is along x -axis, for all points on it y and z will be zero,so, YCM = 0 and ZCM = 0i.e., the centre of mass will lie on the rod. Now, consider an element of rod of length dx at a distance x from the origin, thendm = λ dx = (A+Bx) dxSo, XCM = ∫0Lx dm∫0Ldm = ∫0Lx(A+Bx)dx∫0L(A+Bx)dxAL22 + BL33AL + BL22 = L(3A+2BL)3(2A+BL)Talk to our academic expert!
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