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a. Two identical pith balls are charged by rubbing against each other. They are suspended from a horizontal rod through two strings of length 20 cm each, the separation between the suspension points being 5 cm. In equilibrium, the separation between the balls is 3 cm. Find the mass of each ball and the tension in the strings. The charge on each ball has a magnitude 2 0 x 10-8 C. equilibrium is found to be 4 cm. Find the charge on each sphere.
b. Two identical pith balls, each carrying a charge q, are suspended from a common point by two strings of equal length I. Find the mass of each ball if the angle between the strings is 20 in equilibrium.
Explain how these two derivatives are related to each other and when they become equivalent.
Determine the unfactored dead load and live load on a typical interior roof beam, sketch the loading on the beam, and draw the shear and moment diagrams for the beam assuming the beam is simply-supported.
The acceleration of a particle is defined by the relation a=-8m/s^2. Knowing that x=20m when t=4s and that x=4m when v=16m/s, determine (a) the time when the velocity is zero, (b) the velocity and the total distance traveled when t=11s.
A ball is dropped from a boat so that it strikes the surface of a lake with a speed of 19.5ft/s. While in the water the ball experiences an acceleration of a = 10 - 0.8v, where a and v are expressed in ft/s^2 and ft/s, respectively
Determine the maximum bending stress that will occur in a timber beam of rectangular section 250mm x 80mm when a bending movement of 500N is applied about the x-x axis
A discharge from a power plant cooling tower has a temperature of 81 degrees C and flows into the stream at a rate of 3 cubic meters per minute. What is the temperature in the stream downstream of the cooling tower discharge
The end caps are spherical. The cylinder has length of 30 inc., a diameter of 8 in., and a wall thickness of 0.125 in. Determine the stress in the wall at two points A and B. For each, draw the stresses on a 3-D element.
Calculate the density of magnesium, an HCP metal, fromatomic data, and compare the result wit the measured value,1.74g/cm3.Account for differences.
Determine the coliform concentration at the beach. (assume that the current behaves as a plug flow reactor and that the wastewater is completely mixed in the current at the discharge point.
A regular hexagonal pyramid has an upper base edge of 16 ft. and a lower base edge of 28 ft. if the volume of the frustum is 18041 ft^3., find the lateral area of the frustum.
Calculate the net present value of each option based on a discount rate of 5%/year. (Hint: draw a cash flow diagram for each of the two options.)
An electron has an initial velocity with an x component of zero, a y component of 9.35 km/s, a z component 16.1 km/s, and a constant acceleration of 1.60 x 1012 m/s2 in the positive x direction in a region in which uniform electric and magnetic fi..
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