**Determining Gravitational Force Between Two Spheres****Problem Statement:**Two uniform spheres are positioned as shown in the accompanying diagram. Determine the gravitational force \( F \) which the titanium sphere exerts on the copper sphere. The value of \( R \) is 40 mm.Assume:- \( a = 5.0 \)- \( b = 2.7 \)- \( \theta = 38^\circ \)**Diagram Description:**The diagram illustrates the positioning of two spheres:1. A titanium sphere, labeled as "Titanium," with a radius \( R \).2. A copper sphere, labeled as "Copper," with a radius \( bR \).Positional Coordinates:- The titanium sphere is positioned such that the center lies at the point \( (0, R) \) on a Cartesian coordinate system.- The copper sphere is positioned at \( (aR, bR) \).The distance between the centers of the spheres is given by a vector defined by components derived from \( aR \) along the \( x \)-axis and \( bR \) along the \( y \)-axis. The angle \( \theta \) between the line connecting the centers of the two spheres and the horizontal axis is specified as \( 38^\circ \).**Objective:**Calculate the gravitational force \( F \) exerted by the titanium sphere on the copper sphere using the provided constants \( a \), \( b \), and \( \theta \). ### Important Concepts:- **Gravitational Force**: The gravitational force between two masses \( m_1 \) and \( m_2 \) is given by the formula: \[ F = G \frac{m_1 m_2}{r^2} \] where: - \( G \) is the gravitational constant, - \( r \) is the distance between the centers of the two masses. ### Calculation Steps:1. **Determine the Distance \( r \)**: \[ r = \sqrt{(aR)^2 + (bR)^2} \] 2. **Substitute the Known Values**: \( a = 5.0 \), \( b = 2.7 \), \( R = 40 \text{ mm} \)3. **Calculate the Gravitational Force**: After determining \( r \ **Calculate the mass of each sphere.**Assume \( a = 5.0 \), \( b = 2.7 \), \( \theta = 38^\circ \).**Diagram Explanation:**The diagram shows two spheres: a Titanium sphere and a Copper sphere. The center of the Titanium sphere is at the origin, marked as \( R \), with an angle \( \theta \) to the horizontal (x-axis).- The Copper sphere has a radius \( bR \) and its center is at a distance of \( bR \) from the origin at an angle of \( \theta \) degrees from the x-axis.- The Titanium sphere has a radius \( aR \) and its center is at a distance of \( aR \) from the origin along the y-axis.**Formulas:**To find the mass of each sphere, you typically need the volume and density. However, since densities are not provided, the problem might be simplified by their ratios or other factors given.**Answers:**- **Titanium sphere** \( m_T = \) [input box] kg- **Copper sphere** \( m_C = \) [input box] kg

Answered: Image /qna-images/answer/bc875295-e82a-4481-807b-92ba9a4857f4.jpg

Two uniform spheres are positioned as shown. Determine the gravitational force F which the titanium sphere exerts on the copper sphere. The value of R is 40 mm. Assume a -5.0,b=2.7, 0-38° 1 R aR Titanium Ө Copper bR ---x

Two uniform spheres are positioned as shown. Determine the gravitational force F which the titanium sphere exerts on the copper sphere. The value of R is 40 mm. Assume a -5.0,b=2.7, 0-38° 1 R aR Titanium Ө Copper bR ---x

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

2:56 90 0t O V all 22 classroom.google.com/u/ A ميكانيك هندسي Sgall LKs 23 A prybar is used to remove a nail as shown. De- termine the moment of the 240-N force about the peint O of contact between the prybar and the amall support block. 16m 240 N 16m aso mm PROBLEM 2/3s 2/ A man exerts a force Fon the handle of the stationary wheelbarrow at A. The weight of the wheelbarrow along with ita load of dirt in 185 Ib with center of gravity at G. For the configuration shown, what force must the man apply at A to make the net moment about the tie cuntact point B equal te ero? 30 mm PROBLEM 2/33 Representative Problems a34 An overhead view of a door is shown. If the com- pressive ferce aeting in the coupler arm of the hy draulic door elaser is 17 Ib with the arientation ahown, determine the moment of this force about the hinge axis 0. 20 PROBLEM 2/3s a7 A 150-N pull Tin applied to a cord, which is wound securely around the inner hub of the drum. Determine the moment of T about the drum center…
Express the 40 lb force in the rope from point A to point C in cartesian format. Point C is in the x-y plane and at an angle of 20 degrees from the y axis as shown. 4 ft 20 lb A B 3 ft X 40 lb Z 2 ft 1.5 ft 4.87i+27.6j - 28.5k lb -4.87i+27.6j + 28.5k lb -4.87i+27.6j - 28.5k lb 4.87i+22.8j - 32.5k lb 2 ft 20 y C
Replace the force system acting on a plate by a single force and determine where the line of action of this force intersects the x-axis and the y-axis. y 180 N 240 mm- 300 N 70° 15° 63 N.m 120 N 500 mm 60 N.m 180 mm 150 mm -300 mm- X -600 mm-
If the resultant of the forces shown passes through point A, determine the magnitude of the unknown pulley tension T2. The pulley is welded to the frame and is therefore not free to rotate. 1.3 m 260 N Answer: T₂ = i 0.4 m A T₂ 827.32 1.7 m 59° 1440 N B 0.70 m 1.40 m 660 N 240 N N
The force F = 410 lb acts on the frame. Resolve this force into components acting along members AB and AC. (Figure 1) Figure ▼ Part A 45° F 30° 1 of 1 Determine the magnitude of AB component. Express your answer to three significant figures and include the appropriate units.
Determine the magnitude of the force exerted by the cable at B of the bar shown in Figure. 260 3.5 m 2300 N 2.8 m 3.3 m
The collar is fixed to rod AB and supports a weight W = 20 N acting in the negative z direction as shown. Determine the components of the weight that are parallel and perpendicular to rod AB.
Consider the given values for the force system shown: xA = 9 ft xB = -12 ft xC = 7 ft yA = 3 ft yB =10 ft yC = 2 ft zA = 1 ft zB = -9 ft zC = 11 ft A. Determine the angle θ between AB and AC. B. Determine the minimum distance from point B that passes through AC.
Determine the x and y component of the force F =10 KN as shown in F= 10 KN Figure 1.3. 10 m B 10 m 60
Q1: The 800 N tension force in cable AB is required to prevent the CA bar from rotating clockwise. Resolve this force in to two perpendicular components, along X and Y axes. C 70 2.5 m
▼ |F₂= 185.73 Submit Previous Answers Request Answer Part B Determine the magnitude of the projected component of the force F= 230 N acting along the z axis. (Figure 1) Express your answer with the appropriate units. X Incorrect; Try Again; 5 attempts remaining 300 mm |F₂| = Submit N Value Request Answer Determine the magnitude of the projected component of the force F= 230 N acting along the y axis. Express your answer with the appropriate units. Units ? FI -30° ? 30° 300 mm 300 mm
The press shown is used to emboss a small seal at E. Determine the required force P that will produce a vertical force of 500 N on the seal. ☺ = 30° 400 mm 200 mm 20° 60°