A block of mass m slides on the wooden wedge, | vedclass

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Question

Let acceleration of wedge is $a_{1}$ and acceleration of block w.r.t. wedge is $a_{2}$

${N} \cos 60^{\circ}={Ma}_{1}=16 {a}_{1}$

$\Rightarrow {N

Vedclass · Accepted Answer

$\frac{2}{3} g$

Vedclass · Answer

Let acceleration of wedge is $a_{1}$ and acceleration of block w.r.t. wedge is $a_{2}$

${N} \cos 60^{\circ}={Ma}_{1}=16 {a}_{1}$

$\Rightarrow {N}=32 {a}_{1}$

F.B.D. of block w.r.t wedge

$\perp$ to incline

${N}=8 {g} \cos 30^{\circ}-8 {a}_{1} \sin 30^{\circ} \Rightarrow 32 {a}_{1}=4 \sqrt{3} {g}-4 {a}_{1}$

$\Rightarrow {a}_{1}=\frac{\sqrt{3}}{9} {g}$

Along incline

$8 g \sin 30^{\circ}+8 a_{1} \cos 30^{\circ}=m a_{2}=8 a_{2}$

$a_{2}=g 	imes \frac{1}{2}+\frac{\sqrt{3}}{9} g \cdot \frac{\sqrt{3}}{2}=\frac{2 g}{3}$

A block of mass $m$ slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration of the block with respect to the wedge is : Given ${m}=8 \,{kg}, {M}=16\, {kg}$

Assume all the surfaces shown in the figure to be frictionless.

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A block of mass $m$ slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration of the block with respect to the wedge is : Given ${m}=8 \,{kg}, {M}=16\, {kg}$ Assume all the surfaces shown in the figure to be frictionless.