A particle (mass m, charge q) is constrained to move freely along a straight horizontal wire...
A particle (mass m, charge q) is constrained to move freely
along a straight horizontal
wire of length L. At one end of the wire is a fixed point charge
Q1; at the other end
of the wire is a fixed point charge Q2. Assume all three charges
are negative, and that
Q1 = 4Q2. Determine the particle
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A particle (mass m, charge q) is constrained to move freely
along a straight horizontal
wire...
4. A particle of mass m and charge q is constrained to move along a straight...
4. A particle of mass m and charge q is constrained to move along a straight line between two point charges of equal charge Q separated by distance 2L. The sign of all three charges is the same so that the charge q is repelled by the other two particles. (a) (5 points) What is equilibrium position of charge q? Use the symmetry of the system. Is the equilibrium stable or unstable? (b) (5 points) Chose the origin of your...
A long, horizontal wire is carrying a current 1. A particle of mass m and charge...
A long, horizontal wire is carrying a current 1. A particle of mass m and charge q is fired horizontally at a speed vo. The initial velocity of the particle is parallel to the wire, and its initial position is a distancer directly below the wire, as shown in (Figure 1). What initial speed must the particle have for it to travel in a straight line? Do not ignore gravity. Express your answer in terms of l, m, q, r,...
Suppose a particle is constrained to move along the x-axis. There are two rings of contin-...
Suppose a particle is constrained to move along the x-axis. There are two rings of contin- uous charge distributions (total charge each of Q) centered on the x-axis and on a plane perpendicular to it. One ring is located at x L and the other at x =-L. (a) Obtain an expression for the potential due to the ring charges as a function of z for all x-values in between a E(-L, L). Hint: you should be integrating something. b)...
Two positive charges, both of charge Q = 99.0 μC, are held fixed a distance L...
Two positive charges, both of charge Q = 99.0 μC, are held fixed a distance L = 19.80 cm to either side of a particle of charge qー-5.50 μC and mass m = 2.10 g. This particle is constrained to move along a frictionless wire halfway between the two charges, as indicated in the figure below. Neglecting any gravitational effects, determine the frequency f of small-amplitude oscillations of the particle. Number Hz 0 0
Two particles of mass m are constrained to move along two horizontal frictionless rails that make...
Two particles of mass m are constrained to move along two horizontal frictionless rails that make an angle 20 with respect to each other. They are connected by a spring with spring constant k, whose relaxed length is at the position shown in the figure below. What is the frequency of oscillations for the motion where the spring remains parallel to the position shown? meeeeeeeeem
I need to rescale (4) from the first page to the equation on the second page. 2.[60pts.] A bead of mass m is constrained to slide along a straight rigid horizontal wire. A spring with natural len...
I
need to rescale (4) from the first page to the equation on the
second page.
2.[60pts.] A bead of mass m is constrained to slide along a straight rigid horizontal wire. A spring with natural length Lo and spring constant k is attached to the bead and to a support point a distance h from the wire. See Figure 1. Let z(t) denote the position of the bead on the wire at time t. (Note that x is measured...
Points Two positive charges, both of charge Q = 61.0 C, are held fixed a distance...
Points Two positive charges, both of charge Q = 61.0 C, are held fixed a distance L = 2940 cm to either side of a particle of charge q =-9.50 and mass m = 5.30 g. This particle is constrained to move along a frictionless wire halfway between the two charges, as indicated in the figure below. Neglecting any gravitational effects, determine the frequency fof small-amplitude oscillations of the particle. Policies Hz ive u You ca You los attemp O...
A particle of mass m is constrained to move along the x-axis and is subjected to...
A particle of mass m is constrained to move along the x-axis and
is subjected to a force given by
. Assuming the particle had an initial velocity of Vo and was at
the origin at t = 0, find an equation for the particle's velocity
and set up the integral from which the position equation as a
function of time could be determined. NOTE: You do not need to
evaluate the integral for the position as a function of...
6. The drawing shows a negative charge (q) and a positive charge (q2) fixed to a...
6. The drawing shows a negative charge (q) and a positive charge (q2) fixed to a circle. At the center of the circle they produce a net electric field that is directed along the horizontal axis. Determine the ratio q1/42 of the charges if α 34.0 and -56.0° 41/
Next we move the +Q and +4Q charges to be 3 times as far apart as...
Next we move the +Q and +4Q charges to be 3 times as far apart as they were: +Q 5. Now what is the magnitude of the force on the +40? (b) F/3 (a) F/9 (c) 4F/9 (d) 4F/3 (e) other 6. Which of the arrows is in the direction of the net force on charge B? -1 +1 +1 (e) none of these The picture below shows a centimeters to the left is another particle (labeled A) which has...
4. A particle of mass m and charge q is constrained to move along a straight line between two point charges of equal charge Q separated by distance 2L. The sign of all three charges is the same so that the charge q is repelled by the other two particles. (a) (5 points) What is equilibrium position of charge q? Use the symmetry of the system. Is the equilibrium stable or unstable? (b) (5 points) Chose the origin of your...
A long, horizontal wire is carrying a current 1. A particle of mass m and charge q is fired horizontally at a speed vo. The initial velocity of the particle is parallel to the wire, and its initial position is a distancer directly below the wire, as shown in (Figure 1). What initial speed must the particle have for it to travel in a straight line? Do not ignore gravity. Express your answer in terms of l, m, q, r,...
Suppose a particle is constrained to move along the x-axis. There are two rings of contin- uous charge distributions (total charge each of Q) centered on the x-axis and on a plane perpendicular to it. One ring is located at x L and the other at x =-L. (a) Obtain an expression for the potential due to the ring charges as a function of z for all x-values in between a E(-L, L). Hint: you should be integrating something. b)...
Two positive charges, both of charge Q = 99.0 μC, are held fixed a distance L = 19.80 cm to either side of a particle of charge qー-5.50 μC and mass m = 2.10 g. This particle is constrained to move along a frictionless wire halfway between the two charges, as indicated in the figure below. Neglecting any gravitational effects, determine the frequency f of small-amplitude oscillations of the particle. Number Hz 0 0
Two particles of mass m are constrained to move along two horizontal frictionless rails that make an angle 20 with respect to each other. They are connected by a spring with spring constant k, whose relaxed length is at the position shown in the figure below. What is the frequency of oscillations for the motion where the spring remains parallel to the position shown? meeeeeeeeem
I
need to rescale (4) from the first page to the equation on the
second page.
2.[60pts.] A bead of mass m is constrained to slide along a straight rigid horizontal wire. A spring with natural length Lo and spring constant k is attached to the bead and to a support point a distance h from the wire. See Figure 1. Let z(t) denote the position of the bead on the wire at time t. (Note that x is measured...
Points Two positive charges, both of charge Q = 61.0 C, are held fixed a distance L = 2940 cm to either side of a particle of charge q =-9.50 and mass m = 5.30 g. This particle is constrained to move along a frictionless wire halfway between the two charges, as indicated in the figure below. Neglecting any gravitational effects, determine the frequency fof small-amplitude oscillations of the particle. Policies Hz ive u You ca You los attemp O...
A particle of mass m is constrained to move along the x-axis and
is subjected to a force given by
. Assuming the particle had an initial velocity of Vo and was at
the origin at t = 0, find an equation for the particle's velocity
and set up the integral from which the position equation as a
function of time could be determined. NOTE: You do not need to
evaluate the integral for the position as a function of...
6. The drawing shows a negative charge (q) and a positive charge (q2) fixed to a circle. At the center of the circle they produce a net electric field that is directed along the horizontal axis. Determine the ratio q1/42 of the charges if α 34.0 and -56.0° 41/
Next we move the +Q and +4Q charges to be 3 times as far apart as they were: +Q 5. Now what is the magnitude of the force on the +40? (b) F/3 (a) F/9 (c) 4F/9 (d) 4F/3 (e) other 6. Which of the arrows is in the direction of the net force on charge B? -1 +1 +1 (e) none of these The picture below shows a centimeters to the left is another particle (labeled A) which has...
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