The position of a particle is given by the expression x = 4.00 cos (6.00πt + π), where x is in meters and t is in seconds.
(a) Determine the frequency. Incorrect: Your answer is incorrect. How is the frequency related to the angular frequency? Hz
(b) Determine period of the motion. Incorrect: Your answer is incorrect. How is the period related to the frequency? s
(c) Determine the amplitude of the motion. Incorrect: Your answer is incorrect. The amplitude is always a positive number. m
(d) Determine the phase constant. Incorrect: Your answer is incorrect. What is the phase constant in the equation x(t) = cos(ωt + ϕ)? rad
(e) Determine the position of the particle at t = 0.270 s.
The position of a particle is given by the expression x = 4.00 cos (6.00πt +...
The position of a particle is given by the expression x = 4.00 cos (2.00πt + π/2), where x is in meters and t is in seconds. (a) Determine the frequency (b) Determine period of the motion(c) Determine the amplitude of the motion.(d) Determine the phase constant. (e) Determine the position of the particle at t = 0.350 s.
The position of a particle is given by the expression x = 2.00 cos (2.00πt + 2π/5), where x is in meters and t is in seconds.a) Determine the frequencyb) determine the period of motionc) determine amplitude of motiond) determine phase constante) determine position of particle at t = 0.310
a)Determine the phase constant ϕ (−π≤ϕ≤π) in x=Acos(ωt+ϕ) if, at t=0, the oscillating mass is at x=A. b)Determine the phase constant ϕ (−π≤ϕ≤π) in x=Acos(ωt+ϕ) if, at t=0, the oscillating mass is at x=1/2A. c)Determine the phase constant ϕ (−π≤ϕ≤π) in x=Acos(ωt+ϕ) if, at t=0, the oscillating mass is at x=−1/2A. d)Determine the phase constant ϕ (−π≤ϕ≤π) in x=Acos(ωt+ϕ) if, at t=0, the oscillating mass is at x=A/√2
The function x = (2.5 m) cos[(5π rad/s)t + π/5 rad] gives the simple harmonic motion of a body. Find the following values at t = 7.0 s. (a) the displacement m (b) the velocity (Include the sign of the value in your answer.) m/s (c) the acceleration (Include the sign of the value in your answer.) m/s2 (d) the phase of the motion rad (e) the frequency of the motion Hz (f) the period of the motion s
Why did the amplitude disappear in the highlighted part? Picture the Problem The position of the particle as a function of time is given byx - Acos(or 5). We're given the amplitude A of the motion and can use the initial position of the particle to determine the phase constant & Once we've determined these quantities, we can express the distance traveled Δχ during any interval of time. Express the position of the particle asx-(12 cm)cos(or +8) a function of...
The position of a particle describing simple harmonic motion is given by x(t) = (4.0m) cos (3πt −π/2) Determine the maximum velocity and the shortest time (t> 0) at which the particle has this velocity
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 3.50cm, and the frequency is 2.30 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.) x...
1. The position of an object is given by the function: F(t) = cos(0.25mt + 0.57 (a) What is the amplitude, frequency, and period of the motion? (b) What is the position of the object at t 0s and t0.2s? (c) Plot F(t) as a function of t, for 0 St 4 2. The position of the motion of the bob in a simple pendulum in radians is given by θ(t)--3 cos(nt + π) What is the amplitude, frequency, and...
The motion of an object is described by the equation below. x = (0.50 m) cos(π t / 9) (a) Find the position of the object at t = 0 and at t = 0.30 s. (b) Find the amplitude of the motion. (c) Find the frequency of the motion. (d) Find the period of the motion.
The function x = (6.0 m) cos[(6ttad/sit + π/5 rad] gives the simple harmonic motion of a body. Att-6.6 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion? The function x = (6.0 m) cos[(6ttad/sit + π/5 rad] gives the simple harmonic motion of a body. Att-6.6 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of...