In the adjoining figure- the coefficient of friction between wedge of mass M and block of mass m is - Find the minimum horizontal force F required to keep the block stationary with respect to wedge-A- NoneB- M-m g-uC- M-m -gD- M-m -g

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Byju's Answer

Standard XII

Physics

Block on a Block Problems

In the adjoin...

Question

In the adjoining figure, the coefficient of friction between wedge (of mass M) and block (of mass m) is $μ$ .

Find the minimum horizontal force F required to keep the block stationary with respect to wedge.

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Solution

The correct option is A

$F B D o f^{'} m^{'} w i t h r e s p e c t t o w e d g e (r e a l + o n e p s e u d o f o r c e) w i t h r e s p e c t t o w e d g e b l o c k i s s t a t i o n a r y . ∴ \sum F_{x} = 0 = \sum F_{y} ∴ m g = μ N a n d N = m a a = \frac{g}{μ} a n d F = (M + m) a = (M + m) \frac{g}{μ}$

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In the adjoining figure, the coefficient of friction between wedge (of mass M) and block (of mass m) is μ. Find the minimum horizontal force F required to keep the block stationary with respect to wedge.

The correct option is A FBD of ′m′ with respect to wedge (real + one pseudo force)with respect to wedge block is stationary.∴∑Fx=0=∑Fy∴mg=μN and N=maa=gμand F=(M+m)a=(M+m)gμ

In the adjoining figure, the coefficient of friction between wedge (of mass M) and block (of mass m) is $μ$ .

Find the minimum horizontal force F required to keep the block stationary with respect to wedge.