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A circular disk with a rectangular hole has a radius of 0.500 m and mass of 0.300 kg. It is suspended by a point on its perimeter as shown in the figure. The moment of inertia about this point is I_p = 4.80E-1 kgm2. Its center of mass is located at a distance of s=0.120 m from the center of the circle. If the disk is allowed to oscillate side to side as a pendulum, what is the period of oscillations?
The measure of five angles of a hexagon are 137, 147, 103, 90, 118. What is the measure of the sixth angle?
Suppose a rectangular plot runs along a building, so that you only need to fence three sides. What dimensions will now yield a maximum area with 100 meters of fencing?
uppose one person sends a letter to eight people, and the following week those eight people send a letter to eight other people. If this pattern continues, how many letters will be sent out on the sixth week?
What are the different forms of linear equations in two variables? Show an example of each form. How does the sign or value of the slope determine its type (i.e. whether it is +ve, -ve, undefined, or zero)?
Accurately and neatly graph and label each of the equations and estimate the point of intersection of the two lines.
Consider 4 couples (4 husbands and their wives) stand in random order in a line. What is the probability that no husband is lined up directly
Alzheimer's disease, a neurological disease, is a very costly public health problem. As the population ages, the incidence of Alzheimer's will increase. The incidence of Alzheimer's will nearly quadruple in the next 40 years. Finding a way to delay t..
Find the height at which the light has to be fixed to get its use in maximum area using its perimeter function
Assume at the begining of the year you purchase an investment for 5,900 that pays 80 annual income. Also assume the investments value has increased to 6,500 by the end of the year.
Integration by parts method - How much longer would the worm be at t = 2, if it always grew at the maximum rate? Use Integration by parts.
Let alpha = {x_1, x_2, ..., x_n} be an arbitrary orthonormal basis for V. Prove that T is orthogonal iff [T]_alphaalpha is an orthogonal matrix.
Write an ABEL program for a combinational logic function with five input bits N4-N0) representing an integer between 0 and 31 and two outputs M3 and M5 to indicate if the number is a multiple of 3 or 5.
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