Find the forces exerted by the floor and the wall at Q and R?

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The discussion revolves around calculating the forces exerted by the floor at point Q and the wall at point R for two steel balls inside a cylinder. The first participant has successfully calculated the force at Q as 750N but seeks assistance for the force at R. The conversation emphasizes the importance of drawing free body diagrams to visualize the forces involved, including normal forces and the interaction between the spheres. Participants highlight the need to determine the positions of contact points and the angles involved to resolve forces into components. The discussion underscores the necessity of employing equations derived from these diagrams to solve the problem effectively.
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1. Two steel balls A and B are placed inside a right circular cylinder, of diameter 54 cm making contacts at points P, Q and R as shown in the figure. The radius rA = 12 cm and rB = 18 cm. The masses are mA = 15 kg and mB = 60 kg. The forces exerted by the floor at the point Q and the wall at R are ____ and ____(taking g = 10 m/s

01-1.jpg



Homework Equations



Sorry, it has no relevant equation. The concept is to draw free body diagrams and solve it..

The Attempt at a Solution



I have solved the force exerted by the floor at the point Q i.e. 750N. Please assist me with the second part.

Sorry for the disfigured circle...
 
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Draw all forces. All are normal forces, normal to the walls or the ground, and those between the spheres are normal to the common tangent plane of the spheres and point toward the centres.

ehild
 
@ehild sorry but i was unable to do it..please give some more explanation...
 
the statement "it has no relevant equation" is nonsensical. What would you solve if you had no equations to sovle? As ehid said, DRAW THE FORCES and then you'll have some equations.

Seems like the first part of the problem is to find out where P is and then where the spheres touch.
 
I drew a new figure. All forces (drawn by arrows) are either horizontal or vertical, except the force of interaction between the spheres. You need the angle of the yellow right triangle to find the horizontal and vertical components of this force. Try to do something.


ehild
 

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