2. The position as a function of time for a 300 g mass attached to the end of a spring is... x(t)= (0.16 m)sin(2.83t + pi/4). Determine. a) the system's period of oscillation. b) the total energy of the system. c) the acceleration of the mass as a function of time
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- 3. A simple harmonic oscillator consists of a block attached to a spring with k = 200 N/m. The block slides on a frictionless surface, with equilibrium point x = 0 and amplitude 0.20 m. A graph of the block's velocity v as a function of time t is shown. The horizontal scale is set by t, = 0.20 s.What v (m/s) t (s) are -2n the period of the SHM the block's mass а. b. it's displacement at t = 0 it's acceleration at t = 0.10 s, and it's maximum kinetic energy? С. d. е.2. A 100 gram mass is attached to a spring and undergoes simple harmonic motion with period of T=2 sec. If the total energy of the systenm is E= 5J, find (a) force constant k. and (b) the amplitude of motion 4.1. A)Write down the second law as Hooke’s Law, and derive the solution for a frictionless mass-spring system. B) A 2.00-kg mass is observed to oscillate at 1.50 complete cycles/sec. What is the spring constant? C) How can you use a ball on a string to measure g?
- The position as a function of time for a 300 g mass attached to the end of a spring is…x = (0.16 m)sin(2.83t + π/4). Determine… The system’s period of oscillation. ____________________ The total energy of the system. __________________ The acceleration of the mass as a function of time.______________A 5.50 meter spring is pulled with a force of 58N and stretches by 0.25m, to a total length of 5.75m. When released, it vibrates at 13 rad/s. What is the spring constant of the spring?Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown.3. A 0.26 kg mass is attached to a light spring with a force constant of 25.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the maximum speed of the oscillating mass. Ans:0.499