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A block of mass m is placed on an inclined plane.With what accelration should the system move towards right on the horizontzal surface so that m does not slide on the surface of the inclined plane? assume all surfaces are smooth

A block of mass m is placed on an inclined plane.With what accelration should the system move towards right on the horizontzal surface so that m does not slide on the surface of the inclined plane? assume all surfaces are smooth

Grade:10

1 Answers

Eshan
askIITians Faculty 2095 Points
5 years ago
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Due to acceleration of the system, the block will experience a pseudo forcemA in the opposite direction.
Balancing the forces gives

Ncos\theta=mg
Nsin\theta=mA
\implies A=g tan\theta

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