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Byju's Answer

Standard XII

Physics

Finding Friction's Magnitude

Two blocks 'A...

Question

Two blocks 'A' and 'B' each of mass 'm' are placed on a smooth horizontal surface. Two horizontal force F and 2F are applied on both the blocks 'A' and 'B' respectively as shown in figure. The block A does not slide on block B. Then the normal reaction acting between the two blocks is: (Assume no friction between blocks)

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Solution

The correct option is B
3F

Both A and B will have same acceleration. Let's assume that to be a leftwards Free Body Diagram of A

$N s i n 30^{\circ} - F = m a$ --------------(i) $2 F - N c o s 60^{\circ} = m a$ -----------------------(ii)

Equation (i) & (ii)

$\frac{N}{2} - F = 2 F - \frac{N}{2}$

N = 3F

So normal between the blocks = 3F

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The correct option is B 3F Both A and B will have same acceleration. Let's assume that to be a leftwards Free Body Diagram of A Nsin30∘−F=ma --------------(i) 2F−Ncos60∘=ma -----------------------(ii) Equation (i) & (ii) N2−F=2F−N2 N = 3F So normal between the blocks = 3F