What is the derivation from T=2π√(L/g) to T^2=((4π^2)/g)L
According to theory, the period T of a simple pendulum is T = 2π√(L/g). If L is measured as L = 1.40 ± 0.01 m ; what is the predicted value of T? b. Would you say that a measured value of T = 2.39 ± 0.01 s is consistent with the theoretical prediction of part (a)?
5-29. Determine the response of an undamped system to the forcing condition shown, as follows: (a) for the interval 0 <at < 2, and (b) for the interval 2π < at < 4π. (c) Plot the response x against at from at-0 toot-4m Problem 5-29 5-29. Determine the response of an undamped system to the forcing condition shown, as follows: (a) for the interval 0
Show all steps for upvote! l. The 2 functions e(I)-cos(4π), e2 (t)-cos(16m) are sampled every T seconds. (4+5+6-15 pts) (i) In order that that they both be reconstructible from their samples, how large can Tbe? (ii) If T= 0.1, explain why the 2 transforms E(c) and E2(z) are equal, without actually computing the transforms. Note that cos(2/V-θ)-cos(θ). (iii) If T-0.1, mention how you will design a filter to include as part of the sampler in order to ensure that aliasing...
Please help solve the following question with steps. Thank you! 3. Suppose that an object moves along the helix r(t) - (2 cos t, 2 sin t, L.) , 2π subject to the force field F-(-y, x, z). Determine the work 0-t done. 3. Suppose that an object moves along the helix r(t) - (2 cos t, 2 sin t, L.) , 2π subject to the force field F-(-y, x, z). Determine the work 0-t done.
l, f) is a periodic signal with period f(t)-n(t)-u(t-t/2 ) for 0 2π a.) Find the exponential Fourier series of f() and sketchf). What is the fundamental radian frequency. b.) Evaluate and sketch |Dml, the magnitude of the Fourier series coefficients vs.o in the range of -4s n S4 c.) Evaluate and sketch the phase angle of D, vs. co in the same range (-4S n S4) d.) Find the signal average power e) Find the approximate average power of...
help 3. Answer each part for the following CFG G (The * symbom in the derivation means with any number of steps): R + XRXS S + aTb | b Ta T→ XTX | x | 6 X + ab (a) What are the variables of G? (b) What are the terminals of G? (c) Which is the start variable of G? (d) Give three strings in L(G) (e) Give three strings not in L(G) (f) True or False: T...
Consider the oscillator position x=2 cos(2π t), where time t is measured in seconds. What is the value of x at time t=0.5 seconds?
Construct a derivation from the premise to the conclusion. Premise1: (Y ⊃ B) Premise2: (B&T) ⊃ D Premise3: D ⊃∼ Y Premise4: B ⊃ (O ∨ T) Premise5: ∼ O Conclusion: ∼ Y ex) This is the example from the textbook which I have to do the same for my question only using &, ~, ∨, ≡, ⊃ I, E. Derive: L & D Assumption Assumption 1-N 2 (NL) & [D = (-N VA)] 3 -NL 4L 5 D =...
For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1 4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2 For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1 4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2
Parallel RLC circuit,R=1kΩ C=100pF L=1μH,v=5cos(2π*105 t),ask Is