Q. 64.3( 22 Votes )

A block of mass m is placed on a smooth wedge of inclination θ. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block has a magnitude
A. mg

B. mg/cosθ

C. mg cosθ

D. mg tanθ

Answer :

Since the system is accelerated horizontally such that the block does not slip on the wedge.


Therefore, F= ma component resolved into and


From the figure we have



_______________ {1}


_______________ {2}



From, {1} and {2}


The force exerted by the wedge


on the block has a magnitude


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