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- 1. Given the equation and graph shown below, what is the amplitude (A), period (T), angular frecuency (w), and phase qifference ($)? Harmonic motion, y(t) = 25 * sin(n/3 *t + T/4) 30 10 -10 -20 -30 0. 2n 3n 4m 5m Time, s 20 Displacement, cm1. A 7 kg mass is undergoing SHM with frequency 7.1 cycles/s. If the amplitude is 5.3 cm, calculate the energy of the mass. Energy:10.) A 0.750kg mass is attached to a spring of unknown strength. The mass is pulled to the right 12.0cm and released and is observed to oscillate once every 0.580s. a) What is the value of k for the spring? b) What is the maximum speed of the mass? c) At what time will the mass be halfway to equilibrium for the first time? d) What will be the speed of the mass at x = 6.00cm ? ? с 10.) A 0.750 kg mass is attached to a spring of unknown strength. The mass is pulled to the right 12.0 cm and released and is observed to oscillate once every 0.580 s. a) What is the value of k for the spring? b) What is the maximum speed of the mass? c) At what time will the mass be halfway to equilibrium for the first time? d) What will be the speed of the mass at x = -6.00 cm?
- answer both..only typing2. A 1 kg mass is attached to a spring and executes SHM with a position given by: x(t) = (2m/s)cos[(πrad/s)t − 3π/2] (a) What is the period? (b) What is the amplitude? (c) What is the maximum velocity of the mass?(d) What is the maximum acceleration of the mass? (e) What is the force constant of the spring? (f) What is the position of the mass at t=0? (g) What is the position of the mass at t=1 s? What is the velocity at t = 1s? (h) What is the total energy of the system at t =1 s?24) A fan unit in a furnace is oscillating up and down. The simple harmonic motion can be described as having a period of 0.17 s and a range (from the maximum in one direction to the maximum in the other) of 0.61 mm. At t = 0 it is at its central position and moving in the -y direction. When t = 0.02 s on the stopwatch, where is the unit? a) y = -0.11 mm b) y = -0.22 mm c) y = -0.44 mm d) y = 0.21 mm e) y = -9.03 mm
- 3) A 1.6 kg mass attached to a spring oscillates with an amplitude of 7.3 cm and a frequency of 2.8 Hz. What is the energy of its motion?2) A vertical spring is stretched 60.0 cm by a hanging 5.00 kg mass. a) What is the spring constant? b) What will be the frequency of vibration of this spring system?1. An object oscillates with SHM with an amplitude of 2.0 cm and a time period of 0.25 s. Calculate a) its frequency b) its acceleration i. at the equilibrium position, ii. at maximum displacement, iii. 0.5 cm from the equilibrium position.