Laws of MotionHard

Question

A particle of small mass m is joined to a very heavy body by a light string passing over a light pulley. Both bodies are free to move. The total downward force on the pulley is nearly

Options

A.mg
B.2 mg
C.2 mg
D.can not be determined

Solution


Mg − T  =  Ma         [ Newton′s II law for M]
T − mg = ma        [ Newton′s II law for m]
⇒    T =
If m << M than m + M ≈ M
⇒    T =
⇒    T = 2 mg
Total downward force on pulley is 2T = 4 mg.

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