TS EAMCET · Physics · Mechanical Properties of Solids
A point mass is located at a distance from a uniform thin rod of mass and length as shown in the figure. The magnitude of gravitational force of attraction is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Let us take an element at a distance x from point mass as shown in figure below, Force on m due to element is given by, dF=Gmdmx2 ⇒dF=Gmλdxx2 ⇒∫0FdF=GmML∫rr+Ldxx2 ⇒F=GmML-1xrr+L ⇒F=GmML1r-1r+L ⇒F=GmMLr+L-rrr+L ⇒F=GmMrr+L
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