4. Consider the diagram. Find the position x of the mass m such that the system is horizontal and balanced. Also for what value of h would there exist no force of the pivot on the rod? The fulcrum is at the midpoint of the rod. There is only a force of gravity on the hanging mass, not on the rod or the charges. Ignore the two coulomb forces that are diagonal.
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- Each of two very long, straight rods carry opposite charges of 2.0x10^-6 C per meter. These rods are parallel to each other and separated 10 cm. Find the force (magnitude and direction) between them (use L >> r and assume uniform force per unit length. Can you use the simple equation F=QE ?). Would you be able to feel this force if the rods are 1 meter long?Given the arrangement of charged particles in the figure below, find the net electrostatic force on the 91 = 5.55-μC charged particle. (Assume q2 = 16.33 µC and 93 = -24.12 μC. Express your answer in vector form.) →> F = N 91 (-2.00 cm, 0) 93 (1.00 cm, 1.00 cm) 92 (0, -1.00 cm) XThe angle between the two short sides is 90°. The two short sides of the triangle have length a. Investigate the net force on the charge (q) in the lower right corner due to the other two charges (q, -q). As needed, assume a right-handed coordinate system shown below: (A) What is the magnitude of the net force on the charge in the lower right corner due to the other charges? Use symbols for the answer. (B) Make a sketch of the net force vector on the x-y axes below with the tail of the arrow at the origin. Label the angle with the x-axis. What quadrant does the vector lie in? Your picture should indicate the correct quadrant.
- A uniform bar of length l and mass m is suspended by two springs as shown. There is also a charge q placed at the center of the bar, as well as on the wall. The equilibrium length of the springs is a. (consider only vertical motion). a) Write the L of the system.b) Write the equation of motion.c) Try to solve the equation (HW)Q = 3 μ C and ℓ = 11 cm. Calculate the x-component of the force on the upper left charge, in units of N/μ C. (You will only be able to enter a number. It's only this reason that I'm forcing a particular unit.) Diagram is attachedThree identical point charges, each of mass m = 0.420 kg, hang from three strings, as shown in the figure below. If the lengths of the left and right strings are each L = 33.4 cm, and if the angle 0 is 45.0°, determine the value of q. +9 +q +q m 6.80 Your response differs from the correct answer by more than 10%. Double check your calculations. µC
- What is the magnitude of the force on the 1.0 nC charge in (Figure 1)? Express your answer with the appropriate units. HÀ Fon 1 = Value Units Submit Figure 1 of 1 Part B 1.0 nC What is the direction of the force in the part A? Specify the direction as an angle counterclockwise from the positive x -axis. + Express your answer in degrees. 1.0 cm 1.0 cm above horizontal 60° 60° 2.0 nC + + 2.0 nC Submit 1.0 cmThree charges are located on an x-y axis. q1 has a value of 2.0 mC and is at (0, 3m). q2 has a value of 3.0 mC and is located at the origin. q3 has a value of 4.0 mC and is located at (4 m, 0). Find the magnitude and direction of the force on q1. Don't forget to convert mC to C. Draw a clear diagram!1. Using the symmetry of the arrangement, determine the direction of the force on +q in the figure below, given that: Case 1. 9a9b= +6 μC and 9c9d = +6 μC. = qa qc (a) In your notebook, draw the forces on q due to 9a9b²9c² and 9d. a' (b) Due to symmetry the direction of the net force is Hint: For each force draw the x and y components. Some will add and some will cancel. (c) Calculate the magnitude of the force on the charge q, given that the square is 10.0 cm on a side and q = 1.9 μC. Fnet = N Case II. 9a9b = +6 μC and 9c%d=-6 μC. VN qd qa qc qb O qd ► X (d) In your notebook, draw the forces on q due to 92, 9, 9 and 9d. Or use the result of of Homework: Charges on a Square Free Body Diagram. a' C' (e) Due to symmetry the direction of the net force is Hint: For each force draw the x and y components. Some will add and some will cancel. (f) Calculate the magnitude of the force on the charge q, given that the square is 10.0 cm on a side and q = 1.9 μC. Fnet =
- A small positively charged plastic ball of mass m and charge q is suspended by a massless string of length L in a uniform electrical field E as shown in the attached image. The ball is in equilibrium when the string makes an angle of θ with the vertical. Note that the ball is under the influence of both the electric field E and the earth's gravitational force g. a. Write an equation for the horizontal electrical force acting on the ball in terms of the relevant variables provided above b. Write an equation for the tension T in the string, using any or all of the relevant variables provided above and/or any relevant constants (g, G, k). Include a sentence explaining the reasoning behind your equation (there are two possible ways to set up this equation).Given the arrangement of charged particles in the figure below, find the net electrostatic force on the q₁ = 5.25-μC charged particle. (Assume 92 = 12.33 μC and 93 = -17.12 μC. Express your answer in vector form.) 7 8970000i - 9035000j 9₁ (-2.00 cm, 0) X N 93 (1.00 cm, 1.00 cm) ● 92 (0, -1.00 cm)Needs Complete typed solution with 100 % accuracy.