A particle rotates in a clockwise motion according to the equation x = 3 cos(0.2t -...
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...
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
2. A small mass moves in simple harmonic motion according to the equation x = 2 Cos(45t), where "x" displacement from equilibrium point in meters a the time in seconds. Find the amplitude and frequency of oscillation by comparing with the ga equation . X = A cos (w t).
The motion of a particle of mass m=100g is given by x(t) = (20cm) cos (5t), where t is in seconds. Find the potential energy of the particle at t = 2 seconds.
Consider a particle A that moves according to the equation of motion 4+69 - 10 cos(2t), where Ω is a constant. (a) Suppose that Ω 3. Calculate the amplitude of the resulting oscillations of the particle after a long time has elapsed. (b) Calculate the damping ratio for this mechanical system to two decimal places, and hence state whether the particle can undergo resonance.
A particle moves along the x axis according to the equation x = 2.06 + 2.95t - 1.0062, where x is in meters and t is in seconds. (a) Find the position of the particle at t = 2.80 s. m (b) Find its velocity at t = 2.80 s. m/s (c) Find its acceleration at t = 2.80 s. m/s2 Submit Answer
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.
A particle moves along the x axis according to the equation x = 1.93 + 2.90t − 1.00t2, where x is in meters and t is in seconds. (a) Find the position of the particle at t = 3.10 s. m (b) Find its velocity at t = 3.10 s. m/s (c) Find its acceleration at t = 3.10 s. m/s2
A particle moves along the x axis according to the equation x = 1.93 + 2.99t-1.00p, where x is in meters and t is in seconds. (a) Find the position of the particle at t2.60 s. (b) Find its velocity at t -2.60 s m/s (c) Find its acceleration at t-2.60 s m/s2
Please show all the work A 1.15 kg mass oscillates according to the equation x=0.650 cos (8.40t) where x is in meters and t in seconds. Determine: the amplitude, the frequency, the total energy, and the kinetic and potential energy when x=0.360m