Friction with moving block question

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To prevent the small cube from sliding down the large cube, the applied force P must overcome the gravitational force acting on the small cube while also accounting for the static friction between the two cubes. The acceleration of the small cube must be equal to the acceleration of the large cube, which is influenced by the force P. The normal force acting on the small cube can be calculated using its weight and the coefficient of static friction. The smallest magnitude of P can be determined by setting up the equations of motion for both cubes and solving for P. Understanding these dynamics is crucial for solving the problem effectively.
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The drawing shows a large cube (mass = 49 kg) being accelerated across a horizontal frictionless surface by a horizontal force P. A small cube (mass = 4.6 kg) is in contact with the front surface of the large cube and will slide downward unless P is sufficiently large. The coefficient of static friction between the cubes is 0.71. What is the smallest magnitude that P can have in order to keep the small cube from sliding downward?

http://www.flickr.com/photos/42276194@N04/3981264713/

Anyone have any idea?

I tried both normal forces multiplied by the static friction coefficient.
 
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Welcome to PF!

Hi ethrust2! Welcome to PF! :wink:

Hint: for a particular P, what is the acceleration of the small block?

and so what is the reaction force on the small block? :smile:​
 
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