Centre of Mass 1 Question 5

5. An L-shaped object made of thin rods of uniform mass density is suspended with a string as shown in figure. If AB=BC and the angle is made by AB with downward vertical is θ, then

(2019 Main, 9 Jan)

(a) tanθ=23

(b) tanθ=123

(c) tanθ=12

(d) tanθ=13

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Answer:

Correct Answer: 5. (d)

Solution:

  1. Key Idea The centre of mass of a thin rod of uniform density lies at its centre.

The given system of rods can be drawn using geometry as,

where, (COM)1 and (COM)2 are the centre of mass of both rods AB and AC, respectively.

So, in ΔABB,

tanθ=ABAB=a43a4=13 or tanθ=13



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