A $$3$$ kg block A is placed on the top of a $$4$$ kg block B as shown. To make the block A slip on B, assuming frictionless table, a horizontal force of $$9$$ N is to be applied to the top block. Find the minimum horizontal force (in$$ $$N) that can be applied to lower block so that A slips on B.

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Infinity Learn · Accepted Answer

$$fmax=3$$μgWhen $$3$$ kg and $$4$$ kg blocks move together, common acceleration, $$a=94+3=97m/s2$$ For $$4kg$$ block,  $$fmax=4a$$⇒μ$$3g=4$$×$$97$$⇒ μ$$=127$$×$$10=635If$$ force F is applied common acceleration, $$a=F7m/s2$$ For $$3kg$$ block $$fmax=3$$μ$$g=3$$×a⇒ $$3635$$×$$10=3F7$$⇒$$F=12N$$

Friction

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A 3 kg block A is placed on the top of a 4 kg block B as shown. To make the block A slip on B, assuming frictionless table, a horizontal force of 9 N is to be applied to the top block. Find the minimum horizontal force (in N) that can be applied to lower block so that A slips on B.

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Friction

Remember concepts with our Masterclasses.

A 3 kg block A is placed on the top of a 4 kg block B as shown. To make the block A slip on B, assuming frictionless table, a horizontal force of 9 N is to be applied to the top block. Find the minimum horizontal force (in N) that can be applied to lower block so that A slips on B.

fmax=3μgWhen 3 kg and 4 kg blocks move together, common acceleration, a=94+3=97m/s2 For 4kg block, fmax=4a⇒μ3g=4×97⇒ μ=127×10=635If force F is applied common acceleration, a=F7m/s2 For 3kg block fmax=3μg=3×a⇒ 3635×10=3F7⇒F=12N

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