A straight rod of length λ extends from x = α to x = λ + α . as shown in the figure. If the mass per unit length is (a + bx 2 ). The gravitational force it exerts on a point mass m placed at x = 0 is given by
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
Let’s take strip of lenght ‘dx’ at lenght x, from (0, 0).
Its mass = dm = ρ dx = (a + bx 2 ) dx
Force due to this strip on ‘m’ = dF = 
dm = Gm 
dx
Total force F = 
= 
= Gm 
= Gm 
= Gm 
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