A cuboidal block is kept in a groove. The groove is made to rotate with angular acceleration $α$ . Find the magnitude of the normal reaction on block by the walls of groove given the blocks mass is mkg and it is kept at a distance of r from the axis of rotation.

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Solution

The correct option is D

Draw free body diagram of block

So block's weight is balanced by $N_{1}$

$N_{1}$ = mg

Block has a tangential acceleration which is given by $N_{2}$

$N_{2}$ = m $α$ r

So total normal
$N_{t} = \sqrt{N_{1}^{2} + N_{2}^{2}}$
$N_{t} = \sqrt{(m g)^{2} + (m α r)^{2}})$
$N_{t} = m \sqrt{g^{2} + (r α)^{2}}$

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A cuboidal block is kept in a groove. The groove is made to rotate with angular acceleration α . Find the magnitude of the normal reaction on block by the walls of groove given the blocks mass is mkg and it is kept at a distance of r from the axis of rotation.

The correct option is D Draw free body diagram of block So block's weight is balanced by N1 N1 = mg Block has a tangential acceleration which is given by N2 N2 = m α r So total normal Nt=√N21+N22 Nt=√(mg)2+(mαr)2) Nt=m√g2+(rα)2

A cuboidal block is kept in a groove. The groove is made to rotate with angular acceleration $α$ . Find the magnitude of the normal reaction on block by the walls of groove given the blocks mass is mkg and it is kept at a distance of r from the axis of rotation.