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Blocks A and B of masses 5 kg and 10kg a...

Blocks A and B of masses 5 kg and 10kg are placed as shown in figure. If block A is pulled with 50 N. Find out acceleration of the A and B. if coefficient of friction between A and B is 0.5and between B and ground is 0.4.

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Limiting friction between A and B, `f_(1)=mu_(1)R_(1)=0.5xx5g=24.5N`
Limiting friction between B and ground `f_(2)=mu_(2)R_(2)=0.4xx15g=58.8N`
For block `A 50-f_(1)=5xxarArr50-24.5=5xxarArra=5.1 m//s^(2)`
For block B accelerating force `f_(1)=24.5N` is less than limiting friction `f_(2)=58.8N` so block B will remain at rest.
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Knowledge Check

  • Block A and B of masses 5 kg and 10 kg are placed as shown in figure. If block A is pulled with 50 N. Find out acceleration of the A and B. If coefficient of friction between A and B is 0.5 and between B and ground is 0.4.

    A
    5.1 and 0
    B
    4 and 0
    C
    3 and 2
    D
    3.2 and 5

  • A block A of mass 100 kg rests on another block B of mass 200 kg and is tied to a wall as shown in the figure. The coefficient of friction between A and B is 0.2 and that between B and ground is 0.3. The minimum force required to move the block B is (g=10ms^(-2))

    A
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