A system of two blocks of masses m = 2   kg and M = 8   kg is placed on a smooth table as shown in…

A system of two blocks of masses m=2 kg and M=8 kg is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is 0.5. The maximum horizontal force F that can be applied to the block of mass M so that the blocks move together will be g=9.8 m s-2

  1. 9.8 N
  2. 39.2 N
  3. 49 N
  4. 78.4 N

Solution

Maximum acceleration of the upper block will be,

amax=μg=0.5×9.8=4.9 m s-2

Therefore, maximum force that can be applied on the lower block is,

Fmax=2+8×4.9=49 N

Asked in: JEE Main 2022 (27 Jun Shift 1)

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