JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A thin rod of length lying along the -axis with its ends at and . Its linear density (mass/length) varies with as , where can be zero or any positive number. If the position of the centre of mass of the rod is plotted against , which of the following graphs best approximates the dependence of on ?

Answer: (D)

Solution

Higher concentrates more mass near , shifting from (uniform rod, ) progressively toward as .

Question ID VK-159128