A uniform thin rod of mass M and length L lies on the positive x-axis with...
A uniform thin rod of mass M and length L lies on the positive x-axis with one end at the origin.Consider an element of the rod of length dx., and mass dm at point where 0<x<L.
a) What is the gravitational field produced by the mass element of any value of X?
b)Calculate the total gravitational field produced by the rod.
C)Find the gravitational force on a point particle of mass m0 at x0.
D) Show that for x0>>L the field of the rod approximates the field of the point particle of mass M at x=0.
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A uniform thin rod of mass M and length L lies on the positive
x-axis with...
A thin, uniform rod has length L and the linear density a (i.e. total mass M=al)....
A thin, uniform rod has length L and the linear density a (i.e. total mass M=al). A point mass m is placed at distance x from one end of the rod, along the axis of the rod. Calculate the gravitational force of the rod on the point mass m. (Hint: element of the mass is dM = adx) -GmM/x? O-GmM/(L2-x2) -GmM/(x+.5L) -GmM/(x2+Lx)
A thin rod of length L lies along the x-axis. It has a uniform linear charge distribution λ0.
A thin rod of length L lies along the x-axis. It has a uniform linear charge distribution λ0. a) What is the value of the electric potential at a given point x located to the right of the rod? Take V=0 at infinity.b) What is the strength of the electric field at the point x?
1. Finding the Moment of Inertia of a Uniform Thin Rod with mass M and length...
1. Finding the Moment of Inertia of a Uniform Thin Rod with mass M and length L rotating about its center (a thin rod is a ID object; in the figure the rod has a thickness for clarity): For this problem, use a coordinate axis with its origin at the rod's center and let the rod extend along the x axis as shown here (in other problems, you will need to generate the diagram): dx dm Now, we select a...
A uniformly charged rod of length L=2.2 m lies along the x-axis with its right end at the origin.
A uniformly charged rod of length L=2.2 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q=6.8 μC, A point P is located on the x-axis a distance a = 0.45 m to the right of the origin.Part (a) Consider a thin slice of the rod of thickness dr located a distance x away from the origin. What is the direction of the electric field at point P due to the...
Consider a thin uniform rod of mass M and length L, positioned along the z-axis with...
Consider a thin uniform rod of mass M and length L, positioned along the z-axis with its ends at (0,0,0) and (0,0, - L). (3 marks) Calculate the force, F. it exerts on a mass m located at r = zk. (3 marks) Calculate the force, F, it exerts on another identical rod positioned with its ends at (0,0, L) and (0,0,2L). you should divide the second rod into small elements of length dz, to which the result from part...
A uniformly charged rod of length L=1.6 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 2.6 uC.
A uniformly charged rod of length L=1.6 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 2.6 uC. A point P is located on the x-axis a distance a = 1.2 m to the right of the origin.Part (a) Consider a thin slice of the rod of thickness dr located a distance x away from the origin, what is the direction of the electric field t point P due...
A non-uniform rod of length 0.5m is placed along the x-axis at a distance.2m from the...
A non-uniform rod of length 0.5m is placed along the x-axis at a distance.2m from the origin. The mass per unit length 2 varies according to the expression λ = 5 + 2x2, measured in units of kg/m, where x is measured in meters from the origin. Set up but do not solve an integral that will allow you to find the gravitational force exerted by the rod on a 0.1 kg mass placed at the origin (Hint: An element...
20. A thin rod of mass M and length L gravitationally interacts with a point mass...
20. A thin rod of mass M and length L gravitationally interacts with a point mass m that is a perpendicular distance a away from its left end (see the figure). The rod is non-uniform, and its linear density (mass per unit length) increases with the distance from its left end according to 2(x) = 2Mx/L?, where x is the horizontal coordinate along the rod (so that x = 0 is at its left end and x=L is at its...
A charged rod of length L 8.30 m lies centered on the x axis as shown....
A charged rod of length L 8.30 m lies centered on the x axis as shown. The rod has a linear charge density which varies according to λ-az where a-_65.5 pC/m2 L/2 +L/2 What is the total charge on the rod? 4pts Submit Answer Tries 0/10 What is the x component of the electric field at a point on the z axis a distance of D = 4.40 m from the end of the rod?
A thin rod of length L with total charge Q lies along the x-axis and is...
A thin rod of length L with total charge Q lies along the x-axis and is centered at the origin. Please answer the following A. What is the electric field strength E at a point P located at position x? B. Does your expression have the expected behavior for x >> L? C. Evaluate E at x = 1.9 cm if L = 3.5 cm and Q = 17 nC.
A thin, uniform rod has length L and the linear density a (i.e. total mass M=al). A point mass m is placed at distance x from one end of the rod, along the axis of the rod. Calculate the gravitational force of the rod on the point mass m. (Hint: element of the mass is dM = adx) -GmM/x? O-GmM/(L2-x2) -GmM/(x+.5L) -GmM/(x2+Lx)
1. Finding the Moment of Inertia of a Uniform Thin Rod with mass M and length L rotating about its center (a thin rod is a ID object; in the figure the rod has a thickness for clarity): For this problem, use a coordinate axis with its origin at the rod's center and let the rod extend along the x axis as shown here (in other problems, you will need to generate the diagram): dx dm Now, we select a...
Consider a thin uniform rod of mass M and length L, positioned along the z-axis with its ends at (0,0,0) and (0,0, - L). (3 marks) Calculate the force, F. it exerts on a mass m located at r = zk. (3 marks) Calculate the force, F, it exerts on another identical rod positioned with its ends at (0,0, L) and (0,0,2L). you should divide the second rod into small elements of length dz, to which the result from part...
A non-uniform rod of length 0.5m is placed along the x-axis at a distance.2m from the origin. The mass per unit length 2 varies according to the expression λ = 5 + 2x2, measured in units of kg/m, where x is measured in meters from the origin. Set up but do not solve an integral that will allow you to find the gravitational force exerted by the rod on a 0.1 kg mass placed at the origin (Hint: An element...
20. A thin rod of mass M and length L gravitationally interacts with a point mass m that is a perpendicular distance a away from its left end (see the figure). The rod is non-uniform, and its linear density (mass per unit length) increases with the distance from its left end according to 2(x) = 2Mx/L?, where x is the horizontal coordinate along the rod (so that x = 0 is at its left end and x=L is at its...
A charged rod of length L 8.30 m lies centered on the x axis as shown. The rod has a linear charge density which varies according to λ-az where a-_65.5 pC/m2 L/2 +L/2 What is the total charge on the rod? 4pts Submit Answer Tries 0/10 What is the x component of the electric field at a point on the z axis a distance of D = 4.40 m from the end of the rod?
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