What force should be applied on the wedge so | vedclass

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(B) For the block of mass $m$ to remain stationary with respect to the wedge of mass $M$,the pseudo force acting on the block must balance the compone

Vedclass · Accepted Answer

$F=(M+m) g 	an 	heta$

Vedclass · Answer

(B) For the block of mass $m$ to remain stationary with respect to the wedge of mass $M$,the pseudo force acting on the block must balance the component of gravity along the incline.$1$. Let the acceleration of the system be $a$. The total mass of the system is $(M+m)$. The force applied is $F = (M+m)a$,so $a = \frac{F}{M+m} \dots (1)$.$2$. In the frame of the wedge,the block experiences a pseudo force $ma$ acting horizontally to the left. The components of forces acting on the block parallel to the inclined surface are:- The component of pseudo force: $ma \cos 	heta$- The component of gravity: $mg \sin 	heta$$3$. For the block to be at rest on the wedge,these forces must be equal:$ma \cos 	heta = mg \sin 	heta$$a \cos 	heta = g \sin 	heta$$a = g 	an 	heta$$4$. Substituting the value of $a$ into equation $(1)$:$F = (M+m) g 	an 	heta$.

Column-$I$	Column-$II$
$(1)$ Newton's third law of motion	$(a)$ $\vec{F}_{12} = -\vec{F}_{21}$
$(2)$ Law of conservation of momentum	$(b)$ $\Delta \vec{p} = 0$
	$(c)$ $\vec{F}_{12} = \vec{F}_{21}$

What force should be applied on the wedge so that the block over it does not move? (All surfaces are smooth)

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$A$ bird weighs $2 \ kg$ and is inside a closed cage of $1 \ kg$. If it starts flying,then what is the weight of the bird and cage assembly in $kg$?

Match the items in Column-$I$ with those in Column-$II$.

Column-$I$ Column-$II$

$(1)$ Newton's third law of motion $(a)$ $\vec{F}_{12} = -\vec{F}_{21}$

$(2)$ Law of conservation of momentum $(b)$ $\Delta \vec{p} = 0$

$(c)$ $\vec{F}_{12} = \vec{F}_{21}$

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