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  1. 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 . The acceleration of the cart that will prevent the block from falling satisfies:
    1. a >
      mg
      µ
    2. a >
      g
      µm

    3. a ≥
      g
      µ

    4. a <
      g
      µ
Correct Option: C

Forces acting on the block are as shown in the fig. Normal reaction N is provided by the force mα due to acceleration

∴ N = mα
For the block not to fall, frictional force, Ff ≥ mg
⇒ μN ≥ mg
⇒ μmα ≥ mg
⇒ α ≥ g/μ



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