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

• devvaibhav
In summary, the problem involves two steel balls A and B placed inside a right circular cylinder, with masses of 15 kg and 60 kg respectively. The balls have radii of 12 cm and 18 cm, and are in contact at points P, Q, and R. The force exerted by the floor at point Q is 750N, and the problem requires finding the forces exerted by the floor at point Q and the wall at point R. To solve this, draw a free body diagram with all forces, which are normal forces, normal to the walls or the ground. The force between the spheres is normal to the common tangent plane and points towards the centers. The angle of the yellow right triangle
devvaibhav
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

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...

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

Attachments

• spheres.JPG
10.6 KB · Views: 655

1. What is the purpose of finding the forces exerted by the floor and the wall at Q and R?

The purpose of finding the forces exerted by the floor and the wall at Q and R is to understand the external forces acting on a specific point or object. This information can be useful in determining the stability and structural integrity of the object.

2. How do you calculate the forces exerted by the floor and the wall at Q and R?

The forces exerted by the floor and the wall at Q and R can be calculated using Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. In this case, the mass would be the weight of the object and the acceleration would be the acceleration due to gravity.

3. What factors affect the forces exerted by the floor and the wall at Q and R?

The forces exerted by the floor and the wall at Q and R are affected by the weight of the object, the angle at which it is placed, and the coefficient of friction between the object and the surfaces it is in contact with. Other factors such as air resistance and surrounding objects may also have an impact.

4. Can the forces exerted by the floor and the wall at Q and R change over time?

Yes, the forces exerted by the floor and the wall at Q and R can change over time. This can occur if the weight or position of the object changes, or if there are external factors such as wind or vibrations affecting the object.

5. How can knowing the forces exerted by the floor and the wall at Q and R be useful in real-life situations?

Knowing the forces exerted by the floor and the wall at Q and R can be useful in various real-life situations, such as in construction and engineering projects. It can help engineers and architects determine the stability and safety of a structure, and make necessary adjustments to ensure its structural integrity. It can also be useful in sports and physical activities, as it can help athletes understand the impact of external forces on their performance and make necessary adjustments to improve it.

• Introductory Physics Homework Help
Replies
12
Views
1K
• Introductory Physics Homework Help
Replies
5
Views
4K
• Introductory Physics Homework Help
Replies
2
Views
7K
• Introductory Physics Homework Help
Replies
2
Views
2K
• Introductory Physics Homework Help
Replies
7
Views
1K
• Introductory Physics Homework Help
Replies
9
Views
1K
• Introductory Physics Homework Help
Replies
5
Views
7K
• Introductory Physics Homework Help
Replies
9
Views
7K
• Introductory Physics Homework Help
Replies
20
Views
2K
• Introductory Physics Homework Help
Replies
4
Views
1K