A particle moves along X-axis according in the equation x = a sin ot + b cos ot, where a, b and o are constants. Show that the motion is S.H.M. Further, if a = 3 cm, b = 4 and o = rad/s, find (1) amplitude, (2) period and (3) initial phase.
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- i need the answer quicklyThe displacement of a particle in motion is given by x= a sin ot + b cos ot meter where a, X = b and o are constants. Show that the motion is simple harmonic. If a = 3 cm, 3 ст, b = 4 cm, o = 2 rad/s, find the period, maximum %3D velocity and maximum acceleration.Q.1 Consider the following equation of motion 2x + cx + 800x = 50 sin(10t) find the solution of the steady state response.
- In determining which has the longer period, an oscillator with a frequency of 200 Hz or one with f = 300 Hz, can the subject matter expert help me to review, the difference between ...1/2 and 1/3? The likely answer is 200 Hz, the idea that the smaller the denominator, the longer the period. Just guessing.A mass weighing 2lb stretches a spring 6in. If the mass is pulled down an additional 3in and then released, and if there is no air resistance, find the natural frequency, period and amplitude of the motion. O Natural frequency w = 8 rad/sec, Period T = sec, Amplitude R ft Natural frequency w = = 4 rad/sec, Period T = sec, Amplitude R ft O Natural frequency w = 8 rad/sec, Period T = sec, Amplitude R = ft 1 O Natural frequency w = 8 rad/sec, Period T = sec, Amplitude R = ft 8On an average a human heart is found to beat 75times in a minute. Calculate its frequency and period.
- I need the answer as soon as possibleA mass of 3kg stretches a spring 40cm. Suppose the mass is displaced an additional 12em in the positive (downward) direction and then ruleased. Suppose that the damping constant is 2N/m and assume g9.8 m/s is the gravitational accelaration. Set up a differential equation that describes this system. Let a to denote the displacement, in metern, of the mass from its equilbrium position, and give your answer in terms of z, , a". 3"+ 2 + 245r=0 b) Enter the intial conditions (0) 12 m. (0) o m/s is this wyotem under damped, over damped, or critically damped? under dampedShow FBD, Illustration