(a) Explanation The figure 1 shows the symmetry of the two particles located on x axis. Write the expression for net gravitational field acts on the objects in vector component notation. g → = g → left + g → right (I) Here, g is the gravitational field, g left is the gravitational field acts on the left side of the object, and g right is the gravitational field acts on the right side of the object. Write the expression for gravitational force on the left side of the field acts on the objects in vector component notation. g → left = [ ( − G m x 0 2 + y 2 sin θ ) i ^ + ( − G m x 0 2 + y 2 cos θ ) j ^ ] (II) Here, G is the gravitational constant, m is the mass of the each particles, x 0 is the distance of the two identical masses from the origin along horizontal direction, θ is the angle between the components, and y is the vertical distance of the third mass particle. Write the expression for gravitational force on the right side of the field acts on the objects in vector component notation. g → right = [ ( G m x 0 2 + y 2 sin θ ) i ^ + ( − G m x 0 2 + y 2 cos θ ) j ^ ] (III) Conclusion: Substitute the equation (II) and (III) in the equation (I) (b) To determine The maximum value of g → at which point.

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force betwe…

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Chapter 6, Problem 50P

(a)

To determine

The gravitational field due to the two particles for points on y axis.

(b)

To determine

The maximum value of g→ at which point.

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Chapter 6, Problem 49P

Chapter 6, Problem 51GP

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The gravitational field due to the two particles for points on y axis.

Solution Summary: The author shows the symmetry of the two particles located on x axis. Write the expression for net gravitational field on the objects in vector component notation.

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The gravitational field due to the two particles for points on y axis.

The maximum value of g→ at which point.

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Chapter 6 Solutions