A block of mass m is revolving in a smooth horizontal plane with a constant speed v. If the radius of the circular path is R, find the total contact force received by the block.

Question

Infinity Learn · Accepted Answer

FBD: Let $$N1$$ $$N2$$ ↑be the normal reactions offered by the vertical and horizontal surfaces respectively. $$N1$$ pushes the block towards the centre of circle and $$N2$$ equilibrate the block in vertical by nullifying the weight.Force equation:$$N1=mar=mv2R$$   ......(i)N2=mg$$              .......$$(ii)Hence$$, the net reaction $$(contact) force is N→$$=N$$→$$1+N$$→$$2$$     |N→|$$=N$$→$$1+N$$→$$2=N22+N12Substituting$$ $$N1$$ and $$N2$$, we $$haveN=mv4R2+g2$$

A block of mass m is revolving in a smooth horizontal plane with a constant speed v. If the radius of the circular path is R, find the total contact force received by the block.

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