Consider the general sinusoidal function y(t)-Asin (wt + φ). Part a If A-1 and y(0)-1, what...
A 2.00-kg object is free to slide on a horizontal surface. The object is attached to a spring of spring constant 300 N/m , and the other end of the spring is attached to a wall. The object is pulled in the direction away from the wall until the spring is stretched 50.0 mm from its relaxed position. The object is not released from rest, but is instead given an initial velocity of 2.50 m/s away from the wall. Ignore...
At time t = 0 and at position x = 0 m along a string, a traveling sinusoidal wave with an angular frequency of 450 rad/s has displacement y = +4.4 mm and transverse velocity u = -0.71m/s. If the wave has the general form y(x, t) = ym sin(kx - ωt + φ), what is phase constant φ?
A particle moves on x-y plane according to the equations x = a cos (wt), y = b sin (wt). 1 - Show that its trajectory is an ellipse? 2 - Calculate the values of its velocity v(t) = |v(t)| and acceleration a(t) = |a(t)| ? 3 - What are the maximal and minimal values of v(t) and a(t) ? I think for the first part the answer is as the following image. Please correct me if my answer is...
The figure shows the transverse velocity u versus time t of the point on a string at x = 0, as a wave passes through it. The scale on the vertical axis is set by us = 4 m/s. The wave has form y(x, t) = ymsin(kx - ωt + φ). What is φ , in the range from - π to +π ? (Caution: A calculator does not always give the proper inverse trig function, so check your answer...
The sinusoidal function represented in this plot is in the form y=A*cos(ωt+ϕ). Please help on parts a-c. 6 4 2 2 3 4 time Part a What is A? Enter answer here 0 of 3 attempts used CHECK ANSWER Part b What is w? Enter answer here 0 of 3 attempts used CHECK ANSWER Part c What is ? There are many answers possible after all you can always add or subtract π from the argument of a cos function...
A wave is modeled with the function y ( x , t ) = 0 . 2 5 cos ( 0 . 3 0 x − 0 . 9 0 t + π/ 3 ) where all lengths are in meters and all times in seconds. a. Find the wavelength of the wave. b. Find the period of the wave. c. Find the wave speed (a positive number). d. What is the instantaneous velocity of one of the particles that...
part F and G The function describing the predicted velocity as a function of time, u(t), for a student-designed prototype two-stage model rocket a = 3.0 m/s. B = -24 m/s, and y = 54 m/s. Due to ignition rates of the fuel in the two stages and external forces acting on th minimum and a local maximum during the time interval. Part F Determine the times at which u(t) has a local minimum and maximum. Express your answer as...
1. The parametric equations of an object are given by x = Rcos(wt), and y-Ksin(ot), where x and y are measured in meters and t in seconds. Assume R and ω are known. Calculate the following: (a) The radius of curvature ρ when x = 0.5K meter. Do it by applying the formula ラク dxz (b) The magnitude of the velocity as function of time (c) The x and y components of the acceleration as function of time.( ax-a,-?) (d)...
1. Find Fx in terms of φ (t). Is X a continuous random variable ? 2. Compute p(X 0) 3. Compute E(X). Hint: use the CDF expectation formula, and integration by parts. You may assume that lim, t"o(-t) 0 for all n 2 0. 4. Find the CDF Fx (u) 5. Compute V(X). Hint: use Fxa, and follow the same hint of part (3) 1. Find Fx in terms of φ (t). Is X a continuous random variable ? 2....
Consider the function y(φ)-e",-ie h2 d where I is a constant? If so, what is the a) Is it an eigenfunctions of the operator O-- eigenvalue? (answer: no) b) Normalize the function on the domain 0 φś2π (in this case, normalization implies | | ψ(0) 12 dφ= 1 ). Euler's identity, etimp-cos(mo) ± isin(mo), where m is a constant, will be useful (φ)-F(e"-ie")) to evaluate the normalization constant. (answer: ya normalized Consider the function y(φ)-e",-ie h2 d where I is...