A sphere of mass m is placed between two smooth inclines as shown in the figure. $N_{A} a n d N_{B}$ be the normal reaction at A and B, the net upward force on the sphere

2 N_{A}

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N_{B}

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N_{A} + N_{B}

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m g

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Solution

The correct option is D $2 N_{A}$
$\frac{N_{B}}{2} = \frac{N_{A} \sqrt{3}}{2} \to (1) u p w a r d f o r c e, \Rightarrow \frac{N_{A}}{2} + \frac{N_{A} \sqrt{3}}{2} F r o m (1) N_{B} = N_{A} \sqrt{3} \Rightarrow \frac{N_{A}}{2} + \frac{{3 N}_{A}}{2} = 2 N_{A}$

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A sphere of mass m is placed between two smooth inclines as shown in the figure.NA and NB be the normal reaction at A and B, the net upward force on the sphere

The correct option is D 2NANB2=NA√32→(1)upwardforce,⇒NA2+NA√32From(1)NB=NA√3⇒NA2+3NA2=2NA

A sphere of mass m is placed between two smooth inclines as shown in the figure. $N_{A} a n d N_{B}$ be the normal reaction at A and B, the net upward force on the sphere

The correct option is D $2 N_{A}$
$\frac{N_{B}}{2} = \frac{N_{A} \sqrt{3}}{2} \to (1) u p w a r d f o r c e, \Rightarrow \frac{N_{A}}{2} + \frac{N_{A} \sqrt{3}}{2} F r o m (1) N_{B} = N_{A} \sqrt{3} \Rightarrow \frac{N_{A}}{2} + \frac{{3 N}_{A}}{2} = 2 N_{A}$