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Question

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.


A

mg

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B

mr(

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C

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D

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Solution

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=mg2+(rα)2


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A small cubical block of mass 1 kg is placed inside a rough rectangular groove μ=12 made in a circular table as shown in the figure. The table starts rotating with angular acceleration 1rads2 in a horizontal plane about its axis. The time 10Ksec after which the blocks will start motion with respect to the table. Find the value of K. (Take g=10m/s2) Assume the size of block slightly smaller than the width of the groove.


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