Homework Answers
Amplitude = 1
period = 6pi
curve start time= 1.8
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The displacement of an oscillating mechanism (in m) at any time (t seconds) is given by 2.1 y-cos...
(1 point) The graph shows the displacement from equilibrium of a mass-spring system as a function...
(1 point) The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time t0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first t-intercept is (0.75, 0) and the first minimum has coordinates (1.25,-1) (a) What is the period T of the periodic motion? seconds (b) What is the frequency f in Hertz? What is the...
(1 point) The graph shows the displacement from equilibrium of a mass-spring system as a function...
(1 point) The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time t= 0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first t-intercept is (0.75, 0) and the first maximum has coordinates (1.25, 4). (a) What is the period T = of the periodic motion? seconds (b) What is the frequency f in Hertz?...
Please show clear steps of how to solve each! (1 point) The graph shows the displacement...
Please show clear steps of how
to solve each!
(1 point) The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time t 0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first t-intercept is (0.75, 0) and the first minimum has coordinates (1.25, -4). (a) What is the period T of the periodic motion? seconds...
(1.4) [O.14] The trajectory of an oscillating object was carefully measured and is presented on the...
(1.4) [O.14] The trajectory of an oscillating object was carefully measured and is presented on the adjacent graph. The times are in seconds, while the displacement is measured in millimetres From the trajectory depicted in the graph, estimate the (a) amplitude, (b) period, and (c) (i) cycle and (ii) angular frequencies of the oscil- atory motion. (d) Express the tra- jectory in terms of a (i) cosine and (ii) sine function of time, employing suitable phase angles.
(1.2) [0.4] Express the function sin(wt + π/6) as a phase-shifted cosine. (1.3) [O.11] An SHO...
(1.2) [0.4] Express the function sin(wt + π/6) as a phase-shifted cosine. (1.3) [O.11] An SHO trajectory is given by )sin (), where t is in seconds and r is in metres. Determine the (a) equilibrium position, (b) amplitude, (c) angular frequency, (d) cycle frequency, and (e) period. (1.4) [O.14] The trajectory of an oscillating object was carefully measured and is presented on the adjacent graph. The times are in seconds, while the displacement is measured in millimetres From the...
5. Given an equation of a 1.5 kg mass in SHM V=2.50 cos (0.25 t) ,...
5. Given an equation of a 1.5 kg mass in SHM V=2.50 cos (0.25 t) , m/s Find a) the units on the values 2.50 and 0.25 b) the amplitude, angular frequency, frequency and period of this oscillation c) the displacement and the acceleration at t=2.00 seconds d) the stiffness of the spring supporting this oscillating mass
5. Given an equation of a 1.5 kg mass in SHM v 2.50 cos (0.25 t)...
5. Given an equation of a 1.5 kg mass in SHM v 2.50 cos (0.25 t) , m/s Find a) the units on the values 2.50 and 0.25 b) the amplitude, angular frequency, frequency and period of this oscillation c) the displacement and the acceleration at t 2.00 seconds d) the stiffness of the spring supporting this oscillating mass =
The transverse displacement (y) of a wave is given as a function of position (x in...
The transverse displacement (y) of a wave is given as a function
of position (x in meters) and time (t in seconds) by the expression
to the right. Determine the wavelength, frequency, period, and
phase constant of this waveform.
y(x,t)=
sin(0.333x + 3.38 + 801t)
b) Let y = -6 sin(3t) – 8 cos!(Bt) be expressed in the form y =...
b) Let y = -6 sin(3t) – 8 cos!(Bt) be expressed in the form y = Rcos(wt - a), where -a sa sn. If time t is measured in seconds, determine i. The amplitude of oscillation ji. Phase angle (in radians) The angular frequency iv. The fundamental period of the resulting waveform. [9 Marks]
The transverse displacement (y) of a wave is given as a function of position (x in...
The transverse displacement (y) of a wave is given as a function of position (x in meters) and time (t in seconds) by the expression to the right Determine the wavelength, frequency, period, and phase constant of this waveform. ylrd-y.sin(369t+0.163x +5 Number meters Number Hertz Number T- seconds Number radians
(1 point) The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time t0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first t-intercept is (0.75, 0) and the first minimum has coordinates (1.25,-1) (a) What is the period T of the periodic motion? seconds (b) What is the frequency f in Hertz? What is the...
(1 point) The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time t= 0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first t-intercept is (0.75, 0) and the first maximum has coordinates (1.25, 4). (a) What is the period T = of the periodic motion? seconds (b) What is the frequency f in Hertz?...
Please show clear steps of how
to solve each!
(1 point) The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time t 0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first t-intercept is (0.75, 0) and the first minimum has coordinates (1.25, -4). (a) What is the period T of the periodic motion? seconds...
(1.4) [O.14] The trajectory of an oscillating object was carefully measured and is presented on the adjacent graph. The times are in seconds, while the displacement is measured in millimetres From the trajectory depicted in the graph, estimate the (a) amplitude, (b) period, and (c) (i) cycle and (ii) angular frequencies of the oscil- atory motion. (d) Express the tra- jectory in terms of a (i) cosine and (ii) sine function of time, employing suitable phase angles.
(1.2) [0.4] Express the function sin(wt + π/6) as a phase-shifted cosine. (1.3) [O.11] An SHO trajectory is given by )sin (), where t is in seconds and r is in metres. Determine the (a) equilibrium position, (b) amplitude, (c) angular frequency, (d) cycle frequency, and (e) period. (1.4) [O.14] The trajectory of an oscillating object was carefully measured and is presented on the adjacent graph. The times are in seconds, while the displacement is measured in millimetres From the...
5. Given an equation of a 1.5 kg mass in SHM V=2.50 cos (0.25 t) , m/s Find a) the units on the values 2.50 and 0.25 b) the amplitude, angular frequency, frequency and period of this oscillation c) the displacement and the acceleration at t=2.00 seconds d) the stiffness of the spring supporting this oscillating mass
5. Given an equation of a 1.5 kg mass in SHM v 2.50 cos (0.25 t) , m/s Find a) the units on the values 2.50 and 0.25 b) the amplitude, angular frequency, frequency and period of this oscillation c) the displacement and the acceleration at t 2.00 seconds d) the stiffness of the spring supporting this oscillating mass =
The transverse displacement (y) of a wave is given as a function
of position (x in meters) and time (t in seconds) by the expression
to the right. Determine the wavelength, frequency, period, and
phase constant of this waveform.
y(x,t)=
sin(0.333x + 3.38 + 801t)
b) Let y = -6 sin(3t) – 8 cos!(Bt) be expressed in the form y = Rcos(wt - a), where -a sa sn. If time t is measured in seconds, determine i. The amplitude of oscillation ji. Phase angle (in radians) The angular frequency iv. The fundamental period of the resulting waveform. [9 Marks]
The transverse displacement (y) of a wave is given as a function of position (x in meters) and time (t in seconds) by the expression to the right Determine the wavelength, frequency, period, and phase constant of this waveform. ylrd-y.sin(369t+0.163x +5 Number meters Number Hertz Number T- seconds Number radians
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