A $$4$$ kg block A is placed on the top of $$8$$ kg block B which rests on a smooth table.A just slips on B when a force of $$12$$ N is applied on A. Then, the maximum horizontal force F applied onB to make both A and B move together, is

Question

A $$4$$ kg block A is placed on the top of $$8$$ kg block B  which rests on a smooth table.A just slips on B when a force of $$12$$ N is applied on A. Then, the maximum horizontal force F applied onB to make both A and B move together, is

Infinity Learn · Accepted Answer

When force is applied on A, acceleration produced will $$beFAmA+mB=$$μmAgmB                                 …$$(i)When$$ force is applied on B, acceleration produced will $$beFBmA+mB=$$μmAgmA                              …$$(ii)Dividing$$ these two equations, we $$getFBFA=mBmA$$∴  $$FB=mBmA$$·$$FA=84$$×$$12=24$$ N

A 4 kg block A is placed on the top of 8 kg block B which rests on a smooth table.
A just slips on B when a force of 12 N is applied on A. Then, the maximum horizontal force F applied on
B to make both A and B move together, is

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A 4 kg block A is placed on the top of 8 kg block B which rests on a smooth table.A just slips on B when a force of 12 N is applied on A. Then, the maximum horizontal force F applied onB to make both A and B move together, is

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Ready to Test Your Skills?

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A 4 kg block A is placed on the top of 8 kg block B which rests on a smooth table.
A just slips on B when a force of 12 N is applied on A. Then, the maximum horizontal force F applied on
B to make both A and B move together, is