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A string of negligible mass going over a...

A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by

A

`gsqrt((M + m)^(2) + M^(2))`

B

`sqrt(2).mg`

C

`sqrt((M +m)^(2) +m^(2)g)`

D

`sqrt(2) Mg`

Text Solution

Verified by Experts

The correct Answer is:
A
Force exerted on the pulley (P) by the clamp ( C)

`F_(PC^(2)) = T^(2) + (M+m)^(2) g^(2)`
`=g^(2)(M^(2) + (M +m)^(2))`
`F_(PC) =gsqrt(M^(2) + (M + m)^(2))`
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Knowledge Check

  • A string of negligible mass going over a clamped puley of mass m supports a block of mass Mas shown in the figure. The force on the pulley by the clamp is given

    A
    `sqrt2` Mg
    B
    `sqrt2` mg
    C
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    `sqrt((mg)^(2)+(kx)^(2))`
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