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A straight rod of length L extends from x=0 to x=L. The linear mass density of rod varies with x co-ordinate is λ=a 0 +b 0 x 2 . The gravitational force experienced by a point mass m at x=-a is............... ((please solve it for me))

A straight rod of length L extends from x=0 to x=L. The linear mass density of rod varies with x co-ordinate is λ=a0+b0x2. The gravitational force experienced by a point mass m at x=-a is...............


((please solve it for me))

Grade:12

2 Answers

Anil Pannikar AskiitiansExpert-IITB
85 Points
10 years ago
Dear Pravesh,
F = Gm1*m2/d^2
dm1 = (ao + box^2) dx
m1 = ao * L + bo * L^3/3  this is mass of rod
m2 = m
here d = a + L/2
plug in all the values in formula.
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Anil Pannikar
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Ajudiya Janvi
21 Points
4 years ago
Two metallic sphere of mass M are suspended by two strings each of length L The distance between the upper ends of strings is L. The angle which the strings will make with the vertical due to mutual attraction of sphere is (if each mass horizontally moved by a distance of L/4 due to mutual attraction)

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