Question

Calculate the tension.​

Answer 1

a = F/m

By FBD using Newton's 2nd law,

F - T = (M/L) x.a => T = F - (M/L) x. F/M

T = F( 1 - x/L )

Answer 2

Answer:

Here is your answer

Let the mass of the rope AB be m.

Acceleration of the rope = a = F/m

Let the force be applied at the end A and the point at a distance x from point A be P .

Tension in the rope at a distance x from end

(at point P )

= Force required to move the remaining part with acceleration a

Linear mass density of the rod = m/l

Mass of the remaining part i.e. part PB = m/l×(l-x)

Force required to move the remaining part mass*acceleration

= m/l×(l-x) ×F/m

Therefore , tension in the rope at a distance x from the

end at which the force is applied is .

F×(l-x)/l

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