Question

A horizontal force is applied on a uniform rod of length L kept on a frictionless surface. Find the

tension in rod at a distance ‘x’ from the end where force is applied.​

Answer 1

Answer:

For the entire rod, assuming an acceleration ‘a’

For the entire rod, assuming an acceleration ‘a’F1-F2 = M*a → Equation 1

For the entire rod, assuming an acceleration ‘a’F1-F2 = M*a → Equation 1For the same rod (therefore same acceleration), consider only length x

For the entire rod, assuming an acceleration ‘a’F1-F2 = M*a → Equation 1For the same rod (therefore same acceleration), consider only length xF1 - T = (M*x/L)*a.

For the entire rod, assuming an acceleration ‘a’F1-F2 = M*a → Equation 1For the same rod (therefore same acceleration), consider only length xF1 - T = (M*x/L)*a.Plugging in a = (F1-F2) /M from equation 1,

For the entire rod, assuming an acceleration ‘a’F1-F2 = M*a → Equation 1For the same rod (therefore same acceleration), consider only length xF1 - T = (M*x/L)*a.Plugging in a = (F1-F2) /M from equation 1,F1 - T = ( M*x/L) * (F1-F2)/M.

T = F1 - (F1-F2)*x/L.

Explanation:

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