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

A block of mass m is in contact with the cart C as shown in figure -

The coefficient of static friction between the block and the cart is `mu` , The accelertion `alpha ` of the cart that will prevent the block from failing satisfies -

A

`alpha gt (mg)/(mu)`

B

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

C

`alpha ge (g)/(mu)`

D

`alpha lt (g)/(mu)`

Text Solution

Verified by Experts

The correct Answer is:
C


Here F= mg and N `m alpha ` but `f le mu N`
`mg le mu m alpha implies alpha ge (g)/(mu)`
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Knowledge Check

  • Choose the most appropriate option. A block of mass mis 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.

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    B
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    C
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    D
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