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A block of mass m is in contact with the...

A block of mass m is in contact with the cart C as shown in the figure. The coefficient of static friction - between the block and the cart is u. The acceleration a of the cart that will prevent the block from falling satisfies

A

`alpha gt (mg)/(mu)`

B

`alpha gt (g)/( mu m)`

C

`apha ge (g)/( mu)`

D

`alpha lt (g )/( mu)`

Text Solution

Verified by Experts

The correct Answer is:
C
Pseudo force of fictitious force `F_("fic") = m alpha`
Force of friction `f= mu N = mu m alpha `
the block of mass m will not
` f ge mg `
` mu m alpha ge mg or alpha ge (g)/( mu)`
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Knowledge Check

  • A block of mass m is in contact with the cart C as shown in The coefficient of static friction between the block and the cart is mu The acceleration a of the cart that will prevent the block from falling satisfies .

    A
    `agt(mg)/(mu)`
    B
    `agt(g)/(mum`
    C
    `agt(g)/(mu)`
    D
    `alt(g)/(mu)`

  • A cart of mass M has a block of mass m in contact with it as shown in the figure-2.133. The coefficient of friction between the block and the cart is mu . What is the minimum acceleration of the cart so that the block m does not fall ?

    A
    ` mu g`
    B
    `g//mu`
    C
    `mu//g`
    D
    `Mmug//m`

  • Consider the situation as shown in the diagram. The coefficient of friction between the block is 0.5 . The acceleration of the lower block is

    A
    `1 m//s^(2)`
    B
    `1.5 m//s^(2)`
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    D
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