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A ball is thrown vertically upwards from a point 1.5 m above the ground, with an initial velocity of 30 m/s. In this problem, neglect the effects of air on the motion of theball, and take g = 10 m/s
(a) Plot the spectrum of the Fourier series. (b) Determine the trigonometric Fourier series coecients for the first 6 harmonics. (c) Determine the total power of x(t) for the first 6 harmonics (d) How
The exponential Fourier series coecients for a signal x(t) are: ak= { 1.57 when k=0, 0 when k is even and k doesnt equal 0, ((-1)(k-1)/2)/k when k is odd} Determine the following: (a) Plot the spectru
Consider the following signal y[n]; y[n] = X1[n+3] * X2[n] The signals X1 and X2 are defined as X1[n]=((1/2)^n) u[n] X2[n]= ((1/3)^n u[n] Determine the Z transform of y[n].
The forces 20N,30N,40N,50N and 60N are acting on one of the angular points of a regular hexagon towards the other five angular points taken in order. Find the magnitude and direction of resultant fo
An address decoder in a 68000-based microprocessor system selects a memory device when the address lines A23, A22, A21, A20, A19, A18 = 1, 0, 0, 1, 1, 0. What is the size of the memory block decoded
The power amplifier for a car stereo amplifier has a rated output power of 750 watts when operating at room temperature. Assuming a Class B amplifier with the maximum theoretical efficiency is used,
A light comes on in a storeroom when either (or both) of two doors is open. 1. What logic function is most suitable for this operation 2. Draw a circuit to represent each function using a logic gate
A solid sphere with a radius of 75 mm rolls (without slipping) down an inclined plane that is 5 m long. What is the angular velocity of the sphere at the bottom of the plane if it requires 10 second
A 34.3 kg child starting from rest slides down a water slide with a vertical height of 20.3 m. (a) What is the child's speed halfway down the slide's vertical distance (b) What is the child's sp
a sample of gas composed of 5.7 grams of carbon dioxide and 3.6 grams of neon in a container with volume 5.7L and temp 67 degrees Celsius. what is the pressure of the gas mixture
Assume that the radius of the sun is 6.955x10^8 m and that the mean distance of the sun from the earth is 149.6x10^9m A.what is the diameter of the solar disk on the SAM projection screen
The input to the filter is Vin(t)=5+5cos(1000pi*t)+sin(20000pi*t)+4cos(3000pi*t) V and the output is Vout(t)=5+5cos(1000pi*t+10deg)+5sin(3000pi*t) V.
An initially charged capacitance discharges through a resistance. At one time constant, what percentage of the initial voltage reamins What percentage of the initial stored energy remains
A measurement signal has a frequency less than 1 kHz, but there is unwanted noise at about 1 MHz. Design a low-pass filter that attenuates the noise to 1%. What is the effect on the measurement sign
an unknown sensor is investigated by connecting resistors across the output and measuring the current through them. When a resistance of 30 is connected the current through it is 0.5A. When the resi
In the differential amplifier shown in the schematic, R1 = R2 = 10 k ohm; R3 = R4 = 100 k ohm. Assume the ECG voltage at V1 = 100 mV, and the ECG voltage at V2 = - 100 mV. There is a power line inte
An insurance company has made you the following retirement offer. If you pay them $100,000 now, you will receive payments of $8000 a year for 10 years. After this they will pay you $9000 a year in p
A new project has the following predicted profits. The initial investment is $3,000,000. Yr Revenue 1 $200,000 2 $400,000 3 $600,000 4 $800,000 5 $1,200,000 6 $1,200,000 7 $1,400,000 8 $1,600,000
An input signal given by Vin(t)=5cos(500pi*t)+5cos(1000pi*t)+5cos(2000pi*t) is applied to a basic lowpass RC filter. R=318.3 ohms and C=1 microFarad. Find the expression for the output signal in ter
The input to a certain filter is given by Vin(t)=2cos(10000pi*t-15deg) and the steady state output is given by Vout(t)=5cos(10000pi*t+25deg). Determine the (complex) value of the transfer function of
A quick description of R5 is needed before the next calculation can be completed. R5 is called a sampling resistor. R5 is put in series with the power supply so it shares the same current as the cir
A newly planted tree is supported against the wind by a rope tied to a stake in the ground. The force of the wind, though distributed over the tree, is equivalent to a single force F. Find the tensi
The steering wheel of a car has a radius of 0.11 m, while the steering wheel of a truck has a radius of 0.28 m. The same force is applied in the same direction to each. What is the ratio of the torq
Consider an ideal op-amp in inverting amplifier configuration with feedback impedance Rf=7ohms and an input impedance consisting of a series RL: Ri=9ohms and Li=5H. Let h(t) be the impulse response