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Laws Of Motion

Question
CBSEENPH11020679

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 μ. The acceleration α of the cart that will prevent the block from falling satisfies

  • straight alpha space greater than mg over straight mu
  • straight alpha space greater than space straight g over μm
  • straight alpha space greater or equal than space straight g over straight mu
  • straight alpha space less than space straight g over straight mu

Solution

C.

straight alpha space greater or equal than space straight g over straight mu

When a cart moves with some acceleration toward right then a pseudo force (mα) acts on block towards left. The force (mα) is action force by a block on the cart. Now, block will remain static w.r.t cart if frictional force 
μR space greater or equal than space mg

rightwards double arrow space straight mu space mα space greater or equal than space mg space space space left square bracket space as space straight R space equals space mα right square bracket

rightwards double arrow space straight alpha space greater or equal than space straight g over straight mu