The vertical displacement y (in cm) of the end of an industrial robot arm for each cycle is 1.7 - cot 0.70t, where t is...
27.1.53 EQuestion Help The blade of a sabre saw moves vertically up and down, and its displacement y (in cm) is given by y 1.67 sin 29xt, where t is the time (in s). Find the velocity of the blade for t0.0190 s. The velocity of the blade for t -0.0190 s is cm/s. (Do not round until the final answer. Then round to the nearest whole number as needed.) 27.1.53 EQuestion Help The blade of a sabre saw moves...
The displacement s cm of the end of a stiff spring at time t seconds is given by s = ae−ktsin2πft. Determine the velocity of the end of the spring after 1 s, if a = 3, k = 0.9 and f = 4.
3. The vertical displacement of a string is given by the harmonic function: Y(x, t) = 3.5cos(12nt-187x) Where x is the horizontal distance along the string in meters. Suppose a tiny particle were attached to the string at x=5cm. obtain the expression for the vertical velocity of the particle as a function of time.
A string of length L is fixed at x-0 while the end at x L is attached to a mechanical arm. The mechanical arm moves vertically, resulting in a string position that varies in time according to the boundary condition y(L,t) - f(t). The string is subject to gravity and initially supported along its length. At t - 0, the support is removed and the mechanical arm begins to move. The subsequent displacement of the string is governed by the...
An object stretches a spring 6 inches in equilibrium. Find its displacement y for t> 0 (where y is the displacement of the object from its equilibrium position, measured positive upward), if it's initially displaced 3 inches above equilibrium and given a downward velocity of 6 inches/s. Find the frequency, period, amplitude and phase angle of the motion.
please answer as many questions as possible. I will “thumb up” the answers. Thanks! 1. You are on a boat, which is bobbing up and down. The boat's vertical displacement y is given by y 1.2 cos(t). Find the amplitude, angular frequency, phase constant, frequency, and period of the motion. (b) Where is the boat at t 1 s? (c) Find the velocity and acceleration as functions of time t. (d) Find the initial values of the position, velocity, and...
A particle's displacement from equilibrium is given by x(t) = 0.32cos(3.4t + ?/4), where x is in meters and t is in seconds. (a) Find the frequency f and period T of its motion. f = Hz T = s (b) Find an expression for the velocity of the particle as a function of time. (Use the following as necessary: t.) vx = m/s (c) What is its maximum speed? |vx max| = m/s
where (x, t) is the angular displacement (ang le of twist) along the shaft, x is the distance from the end of the shaft and t is time. For a shaft of length 4m that is supported by frictionless bearings at each end, the boundary conditions are t 0. Өx (0, г) — Өx(4л, t) — 0, Suppose that the initial angular displacement and angular velocity are Of(x, 0) = 2 cos(3x) = 6 cos(4x), ex, 0) 0 x< 4...
An oceanographer measured a set of sea waves during a storm and modelled the vertical displacement of waves in meters using the equation h(t)=0.6cos2t+0.8sint, where t is the time in seconds.a) Determine the vertical displacement of the wave when the velocity is 0.8m/s Ans: -1.2sin2t+0.8cost = 0.8-2.4(sint)(cost)+0.8cost = 0.8cost(-2.4sint+0.8) = 0.8cost = 0.8t = cos-1(0.8) OR -2.4sint +0.8 = 0.8=0.6 t = 0b) Determine the maximum velocity of the wave and when it occurs. Ans: cost(-2.4sint+0.8)=0therefore t= 1.5 and 0.3...
A car and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 N m, which is damped when moving in the vertical direction by a damping force Famp =-rý, where y is the 1200 kg sitting 4. (a) damping constant. If y is 90% of the critical value; what is the period of vertical oscillation of the car? () by what factor does the oscillation amplitude decrease within one period?...