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T+ the period . the tine of one coap lete oscillation . 2 f the trequency...
a. 0.1s T h e period of the oscillation? b. 0.34 s 0.63 s T of...
a. 0.1s T h e period of the oscillation? b. 0.34 s 0.63 s T of oscillation d. 10 s 0-1w = 1 e. 43 s o.1xa è 3.14K=1 T=0.628 sec =0.635 2.2. A block is sitting on a horizontal frictionless surface. It is attached to a massless spring in its equilibrium length. A force Fis applied to the block, compressing the spring from its equilibrium length by 0.1m. The force is then abruptly released, allowing the block to oscillate....
The period for oscillation of the cart is given by T = Sketch a graph of...
The period for oscillation of the cart is given by T = Sketch a graph of the displacement of the spring as a function of time in Fig. 12.7, again assuming that the spring was stretched by 2.0 cm when the cart was released from rest. Make sure that you put appropriate numbers on the vertical and horizontal axes. Figure 12.7: Simple harmonic motion of the cart.
2. At tine t O minutes a patient is admimisteread a drug. The drug is absorbed in the body at the...
2. At tine t O minutes a patient is admimisteread a drug. The drug is absorbed in the body at the rate of e- for all times t s 0. Use a Riemann sum with 2 subintervals and right end points to estimate the amount of the 3. You are measuring the ability of an antibiotic to kill harmful bacteria. You measure the rate at which the antibiotic kills bacteria (i.e., number of bacteria killed in one hour); this is...
A capacitor and an inductor connected in series have a period of oscillation given by T....
A capacitor and an inductor connected in series have a period of oscillation given by T. At the time t=0 the capacitor has its maximum charge. In terms of T, what is the first time after t=0 that the current in the circuit has its maximum value? In terms of T, what is the first time after t=0 that the energy stored in the electric field is a maximum?
For the circuit below, calculate the time constant that defines the oscillation frequency of this circuit (i.e. the half period of the resulting oscillation T-1/(2fosc)), in seconds, to 1% accuracy....
For the circuit below, calculate the time constant that defines the oscillation frequency of this circuit (i.e. the half period of the resulting oscillation T-1/(2fosc)), in seconds, to 1% accuracy. The op-amp has rail-to-rail swing, and a gain-bandwidth product of 3 MHz. The resistors used are r 3.0 k ohm, and the capacitor C 127.7 nF +15 V Vout 15 V Answer:
For the circuit below, calculate the time constant that defines the oscillation frequency of this circuit (i.e. the...
Problem 5. Consider the following second order linear differential equation f"(t)-f'(t) +f(t) kt ...
Problem 5. Consider the following second order linear differential equation f"(t)-f'(t) +f(t) kt which models a forced oscillation in a damping material. For example, imagine moving your hand back and forth underwater. Write this equation as a set of coupled first order equations by doing the following: ·Define a new function g = f'(t). This gives you one of the two coupled equations. . Use the given ODE, g, and its derivatives to write the second first order equation. Both...
A horizontal spring of spring constant k = 125N/m is resting at its equilibrium length. One end o...
A horizontal spring of spring constant k = 125N/m is resting at its equilibrium length. One end of the spring is attached to a wall, and the other end is attached to a mass M = 200g. The whole system is immersed in a viscous fluid with linear drag coefficient b = 0.1 kg/s. The mass is pulled 10cm from its equilibrium position and released from rest. (a) (0.5 pt) What would be the oscillation period if the system were...
1. An air-track cart attached to s spring completes one oscillation every 2.4 s. At t...
1. An air-track cart attached to s spring completes one oscillation every 2.4 s. At t = 0 the cart is released from rest at a distance of 0.10 m from its equilibrium position. What is the position of the cart at (a) 2.7s and (b) 3.0s? (c) What is the first time the car is at position x = -5.0 cm? I WWWWWWWWWWWW r=-0.10 m 0 x = 0.10 m The pendulum in a grandfather clock is designed to...
The sketch of the following periodic function f (t) given in one period f(t) t2 -1,...
The sketch of the following periodic function f (t) given in one period f(t) t2 -1, 0s t s 2 is given as follows f(t) 2 -1 We proceed as follows to find the Fourier series representation of f (t) (Note:Jt2 cos at dt = 2t as at + (a--)sina:Jt2 sin at dt = 2t sin at + sin at. Г t2 sin at dt-tsi. )cos at.) Please scroll to the bottom of page for END of question a) The...
1. We have a signal, x (t), with period of T - 2 second with the signal in one period given below: x(t)- ^x,(t+nT) wher...
1. We have a signal, x (t), with period of T - 2 second with the signal in one period given below: x(t)- ^x,(t+nT) wherex,) 1-2 (t - ) Kt<1 n=-oo 0 1/2 (a) Find the Fourier series coefficients for this signal. That is, find the values of ak so that x (t) Hint: te-jwt teJwt dt (b) Write some MATLAB code which will plot the signal resulting from a truncated Fourier Series using the coefficients you calculated in part...
a. 0.1s T h e period of the oscillation? b. 0.34 s 0.63 s T of oscillation d. 10 s 0-1w = 1 e. 43 s o.1xa è 3.14K=1 T=0.628 sec =0.635 2.2. A block is sitting on a horizontal frictionless surface. It is attached to a massless spring in its equilibrium length. A force Fis applied to the block, compressing the spring from its equilibrium length by 0.1m. The force is then abruptly released, allowing the block to oscillate....
The period for oscillation of the cart is given by T = Sketch a graph of the displacement of the spring as a function of time in Fig. 12.7, again assuming that the spring was stretched by 2.0 cm when the cart was released from rest. Make sure that you put appropriate numbers on the vertical and horizontal axes. Figure 12.7: Simple harmonic motion of the cart.
2. At tine t O minutes a patient is admimisteread a drug. The drug is absorbed in the body at the rate of e- for all times t s 0. Use a Riemann sum with 2 subintervals and right end points to estimate the amount of the 3. You are measuring the ability of an antibiotic to kill harmful bacteria. You measure the rate at which the antibiotic kills bacteria (i.e., number of bacteria killed in one hour); this is...
For the circuit below, calculate the time constant that defines the oscillation frequency of this circuit (i.e. the half period of the resulting oscillation T-1/(2fosc)), in seconds, to 1% accuracy. The op-amp has rail-to-rail swing, and a gain-bandwidth product of 3 MHz. The resistors used are r 3.0 k ohm, and the capacitor C 127.7 nF +15 V Vout 15 V Answer:
For the circuit below, calculate the time constant that defines the oscillation frequency of this circuit (i.e. the...
Problem 5. Consider the following second order linear differential equation f"(t)-f'(t) +f(t) kt which models a forced oscillation in a damping material. For example, imagine moving your hand back and forth underwater. Write this equation as a set of coupled first order equations by doing the following: ·Define a new function g = f'(t). This gives you one of the two coupled equations. . Use the given ODE, g, and its derivatives to write the second first order equation. Both...
1. An air-track cart attached to s spring completes one oscillation every 2.4 s. At t = 0 the cart is released from rest at a distance of 0.10 m from its equilibrium position. What is the position of the cart at (a) 2.7s and (b) 3.0s? (c) What is the first time the car is at position x = -5.0 cm? I WWWWWWWWWWWW r=-0.10 m 0 x = 0.10 m The pendulum in a grandfather clock is designed to...
The sketch of the following periodic function f (t) given in one period f(t) t2 -1, 0s t s 2 is given as follows f(t) 2 -1 We proceed as follows to find the Fourier series representation of f (t) (Note:Jt2 cos at dt = 2t as at + (a--)sina:Jt2 sin at dt = 2t sin at + sin at. Г t2 sin at dt-tsi. )cos at.) Please scroll to the bottom of page for END of question a) The...
1. We have a signal, x (t), with period of T - 2 second with the signal in one period given below: x(t)- ^x,(t+nT) wherex,) 1-2 (t - ) Kt<1 n=-oo 0 1/2 (a) Find the Fourier series coefficients for this signal. That is, find the values of ak so that x (t) Hint: te-jwt teJwt dt (b) Write some MATLAB code which will plot the signal resulting from a truncated Fourier Series using the coefficients you calculated in part...
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